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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260721T161500
DTEND;TZID=Europe/Berlin:20260721T161500
DTSTAMP:20260804T010830
CREATED:20260720T210224Z
LAST-MODIFIED:20260720T210224Z
UID:10000158-1784650500-1784650500@www.trr352.de
SUMMARY:Topology of the Ritz energy landscape
DESCRIPTION:Motivated by questions from quantum chemistry and spectral optimization\, this talk explores the topology of the Ritz energy landscape. Ritz values are the eigenvalues of a larger matrix (or operator) B compressed to a smaller trial subspace S. We can view the k-th Ritz value as a real-valued function (“Ritz energy landscape”) on the manifold of all possible\ns-dimensional trial subspaces\, the Grassmannian Gr(n\,s). \nWe show that the k-th Ritz value (for any k) is a perfect Morse function\, once the definition of “perfection” is suitably adjusted. A Morse function is called perfect if it describes the topology of its domain in the most efficient way possible\, meaning the number of its critical points of each type exactly matches the corresponding Betti number of the space. While the k-th eigenvalue is Lipschitz rather than smooth and while its critical points are not isolated — and not even Morse-Bott — its critical point count is nevertheless well-defined and reflects the topology of the Grassmannian in a minimal\, perfect way. \nThe proof proceeds by introducing a suitable perturbation which ensures that points of non-smoothness are not critical (by a theorem of Zelenko and the presenter) and that the critical points that remain are isolated. We also show that the notion of perfection we introduce (“homological perfection”) is closed under such perturbations. \nBased on joint work with Mark Goresky (IAS).
URL:http://www.trr352.de/event/topology-of-the-ritz-energy-landscape/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260720T150000
DTEND;TZID=Europe/Berlin:20260720T160000
DTSTAMP:20260804T010830
CREATED:20260715T052533Z
LAST-MODIFIED:20260717T081714Z
UID:10000156-1784559600-1784563200@www.trr352.de
SUMMARY:The Polaron Problem. A Journey through Stochastic and Analytical methods.
DESCRIPTION:A charged particle\, such as an electron\, travelling through a periodic lattice produces a polarization field that induces oscillations in the crystal structure. A polaron is defined as the dressing of the charged particle by the quantized lattice oscillations\, modelled by bosonic fields. The polaron was originally introduced in 1933 by L.  Landau\, and later considered in 1946 by S. Pekar\, to study the selftrapping phenomenon that an electron incurs into by deforming a lattice structure with its polarization field. The energy spectrum and the dynamics of a polaron are described by an Hamiltonian operator in second quantization\, the coupling interaction being linear in creation and annihilation operators. In recent times\, significant advances have been made toward the understanding of the mathematical properties of polaron Hamiltonians and\, in particular\, for the Fröhlich polaron where the dressing is described by a dipolar interaction. The mathematical description of polarons admits both an analytic and a probabilistic approach. In fact\, the spectral properties of a polaron Hamiltonian can be derived through the analysis of the partition function of the model by means of the theory of Brownian motion or by means of methods purely from functional analysis and the spectral calculus. I will discuss the modern mathematical techniques to study polaron problems and discuss the state of the art.
URL:http://www.trr352.de/event/the-polaron-problem-a-journey-through-stochastic-and-analytical-methods/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Junior Coffee Breaks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260715T161500
DTEND;TZID=Europe/Berlin:20260715T161500
DTSTAMP:20260804T010830
CREATED:20260720T205939Z
LAST-MODIFIED:20260720T205939Z
UID:10000157-1784132100-1784132100@www.trr352.de
SUMMARY:Positive Hankel operators
DESCRIPTION:I will discuss some aspects of spectral theory of positive semi-definite Hankel operators\, realised as integral operators on the positive semi-axis with integral kernels of the form h(x+y). I will focus on some remarkable similarities between spectral theory of Hankel operators in this class and spectral theory of one-dimensional Schrodinger operators.
URL:http://www.trr352.de/event/positive-hankel-operators/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260710T000000
DTEND;TZID=Europe/Berlin:20260710T235959
DTSTAMP:20260804T010830
CREATED:20260626T074059Z
LAST-MODIFIED:20260626T074117Z
UID:10000154-1783641600-1783727999@www.trr352.de
SUMMARY:Probability Colloquium Augsburg-Munich
DESCRIPTION:Speakers:  \n  \n\n Maria Deijfen\n Remco van der Hofstad\n\n  \nSchedule: \n  \n14:30    Welcome\n15:00    Talk Maria Deijfen\n16:00    Refreshment break\n16:30    Talk Remco van der Hofstad\n18:30    Option for common dinner\n\n  \n\n\nTitles and abstracts:\n  \nMia Deijfen: Into space – and back again! \nAbstract: The configuration model is a standard model for generating a random graph with a prescribed degree distribution. I will describe attempts to analyze a spatial version of the model\, and ongoing work to revert the spatial model to the non-spatial setting. \n  \nRemco van der Hofstad: The number and structure of connected graphs with a fixed degree sequence \nWe study connected graphs with a fixed degree sequence\, in the sparse setting where the number of edges grows linearly in the number of vertices. Using the relation to the configuration model\, we identify the number of such connected graphs up to a subexponential order. We do this by viewing a connected graph with a given degree distribution as the realization of the giant component in a larger configuration model\, and carefully choosing the degree distribution of the larger graph so that it is likely that its giant component has the required degree distribution. To ensure that the connected graph has exactly the correct degrees\, we use a switching argument. We further identify the local structure of a uniform random graph with prescribed degrees. This is joint work with Sasha Bell and Serte Donderwinkel.
URL:http://www.trr352.de/event/probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Colloquia
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260707T161500
DTEND;TZID=Europe/Berlin:20260707T174500
DTSTAMP:20260804T010830
CREATED:20260723T124853Z
LAST-MODIFIED:20260728T113530Z
UID:10000160-1783440900-1783446300@www.trr352.de
SUMMARY:Symmetry of optimizers by examples
DESCRIPTION:The course is intended especially for Master’s students\, PhD students\, and postdoctoral researchers\, but everyone interested is warmly welcome to attend. \nIf a variational problem has a symmetry\, it is natural to ask whether an optimizer has the same symmetry. Symmetries offer clear advantages for computing optimizers and determining the optimal value of a variational problem. \nIn general\, however\, optimizers do not necessarily reflect the underlying symmetry: symmetry may be broken. The mathematical analysis must therefore focus on relevant\, non-trivial examples and the techniques used to study them. \nKey examples will include the sharp Sobolev inequality and its generalization\, the Caffarelli–Kohn–Nirenberg inequalities\, as well as sharp Hardy–Littlewood–Sobolev inequalities and Beckner’s inequality. \nParticular emphasis will be placed on techniques such as the use of the isoperimetric inequality and rearrangements\, flows\, and Obata-type identities\, as well as the analysis of the second variation operator for proving symmetry breaking. \nIf time permits\, sharp spinor inequalities will also be discussed. \nThe course is intended especially for Master’s students\, PhD students\, and postdoctoral researchers\, but everyone interested is warmly welcome to attend. \nNo registration is required. \nDates and Rooms \nTuesday\, 7 July\n16:15–17:45 · Room B 047 \nWednesday\, 8 July\n16:15–17:45 · Room A 027 \nFriday\, 10 July\n16:15–17:45 · Room A 027 \nLocation \nLMU Munich · Mathematical Institute\nTheresienstr. 39
URL:http://www.trr352.de/event/symmetry-of-optimizers-by-examples/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Mini Course
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260707T160000
DTEND;TZID=Europe/Berlin:20260707T160000
DTSTAMP:20260804T010830
CREATED:20260712T223845Z
LAST-MODIFIED:20260712T223845Z
UID:10000155-1783440000-1783440000@www.trr352.de
SUMMARY:Rapid mixing in long-range Lindbladians and static properties of their fixed points
DESCRIPTION:The classification of mixed-state phases requires criteria beyond two-point correlation functions\, such as the decay of the mutual information (MI) and the conditional mutual information(CMI)\, with the latter encapsulated in the notion of Markov length. In this talk\, we show how such static properties of the fixed point of a Lindbladian follow from natural dynamical features of its generator: rapid mixing and frustration-freeness. We focus on systems with long-range interactions\, and prove i)that local Lindbladians satisfying\n(global) rapid mixing and frustration-freeness have fixed-points whose CMI decays with the shielding distance\, and ii) that (local) rapid mixing together with primitivity and regularity implies global decay of MI. For long-range interactions both quantities decay polynomially rather than exponentially\, in contrast to the finite- and short-range regimes where exponential decay (a finite Markov length) is expected within a phase. We further show that Gibbs states of long-range\, non-commuting Hamiltonians satisfy a local Markov property at any temperature.
URL:http://www.trr352.de/event/rapid-mixing-in-long-range-lindbladians-and-static-properties-of-their-fixed-points/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260702T161500
DTEND;TZID=Europe/Berlin:20260702T161500
DTSTAMP:20260804T010830
CREATED:20260722T095653Z
LAST-MODIFIED:20260722T100231Z
UID:10000159-1783008900-1783008900@www.trr352.de
SUMMARY:A Spectral Transition in the Stability Theory of the 1-D Soler Model
DESCRIPTION:In this talk I will present recent spectral results related to the stability theory of standing waves ψ(t\,x) = e−iωtφ(x) for the one-dimensional Soler model\, a nonlinear Dirac equation\, with power nonlinearity.\n \n\n  f(s) = s|s|p−1\, p > 0.\n \n\n  The analysis is motivated by the so-called gap property arising in the stability theory of nonlinear Schrödinger equations. More precisely\, we study the spectral structure of the Dirac operators obtained by linearization around standing waves\, focusing on the existence of eigenvalues inside the spectral gap and resonances at the thresholds of the essential spectrum.\n \n\n  I will describe a sharp spectral transition in the nonlinearity at the critical exponent p = 1: threshold resonances present in the Gross–Neveu case generate eigenvalues inside the spectral gap for 0 < p < 1\, whereas no threshold resonances occur for p > 1.
URL:http://www.trr352.de/event/a-spectral-transition-in-the-stability-theory-of-the-1-d-soler-model/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260630T150000
DTEND;TZID=Europe/Berlin:20260630T150000
DTSTAMP:20260804T010830
CREATED:20260626T073706Z
LAST-MODIFIED:20260626T073706Z
UID:10000153-1782831600-1782831600@www.trr352.de
SUMMARY:The index of a pair of pure states and the quantum Hall effect
DESCRIPTION:The index of a pair of projections on a Hilbert space was introduced in 1973 by Brown-Douglas-Filmore and connected to the integer quantum Hall effect by Avron-Seiler-Simon in 1994. For two orthogonal projections P\,Q such that P-Q is compact\, index(P\,Q)=dimimP∩kerQ-dimimQ∩kerP. It is manifestly an integer\, and enjoys norm and compactness stability\, much like the related Fredholm index. Such indices played a pivotal role in describing the quantization and stability properties in the quantum Hall effect; ASS94 related the Hall conductance to the index of a Fermi projection P and its Laughlin-flux-inserted projection U*PU. What becomes of this story in the presence of interactions? To describe infinitely-many interacting electrons in infinite-volume\, the Hilbert space is replaced by a unital C-* algebra A (a CAR algebra)\, but there is no obvious notion of a Fredholm index. We introduce a new notion\, the index of a pair of pure states (on A)\, prove its quantization\, invariance and stability properties\, and relate it to the (possibly fractional) Hall conductance. We comment that Kitaev’s invertible states always have integer conductance. Joint with Bachmann and Tauber.
URL:http://www.trr352.de/event/the-index-of-a-pair-of-pure-states-and-the-quantum-hall-effect/
LOCATION:Room 5612.EG.019 (CIT Sitzungsraum 2)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260622T161500
DTEND;TZID=Europe/Berlin:20260622T174500
DTSTAMP:20260804T010830
CREATED:20260610T211948Z
LAST-MODIFIED:20260614T202553Z
UID:10000146-1782144900-1782150300@www.trr352.de
SUMMARY:A Short Course on Exponential Integrators: Construction\, Analysis\, and Implementation for Time Dependent Partial Differential Equations
DESCRIPTION:COURSE OVERVIEW\nExponential integrators are powerful numerical methods for solving time-dependent partial differential equations. This short course introduces the construction\, analysis\, and efficient implementation of exponential integrators\, providing both theoretical foundations and practical insights. \nWe study linearization of semilinear and nonlinear evolution equations and develop modern exponential integration schemes. The course covers convergence theory and implementation issues\, in particular the efficient computation of matrix-function–vector products using Krylov subspace methods. \nThe course is based on the classical review by Hochbruck & Ostermann (2010) and will also address more recent developments. \n\nTOPICS\n\nLinearization of semilinear and nonlinear evolution equations\nExponential Runge–Kutta methods\nExponential Rosenbrock-type methods\nConvergence analysis and error estimates\nThe exponential Euler method – analysis and proof\nEfficient implementation of matrix-function–vector products\nKrylov subspace methods\nRecent developments beyond the review by Hochbruck & Ostermann (2010)\n\n\nSCHEDULE\nMonday\, June 1514:15 – 15:45 \nMonday\, June 1516:15 – 17:45 \nMonday\, June 2216:15 – 17:45 \n\nVENUE\nHörsaal 3 (HS 3)MI BuildingBoltzmannstr. 3TUM-Campus Garching \n\nINTENDED AUDIENCE\nGraduate students\, doctoral researchers\, and scientists interested in: \n\nNumerical analysis\nScientific computing\nDifferential equations\nComputational mathematics\n\n\nREFERENCE\nM. Hochbruck and A. Ostermann.Exponential Integrators.Acta Numerica\, 19:209–286\, 2010. \nhttps://doi.org/10.1017/S0962492910000048 \n\n\n\n\n\n\n\n\nPoster\nA Short Course on Exponential Integrators
URL:http://www.trr352.de/event/a-short-course-on-exponential-integrators-construction-analysis-and-implementation-for-time-dependent-partial-differential-equations/2026-06-22/
LOCATION:5606.EG.011 (MI Hörsaal 3)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Mini Course
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260616T161500
DTEND;TZID=Europe/Berlin:20260616T161500
DTSTAMP:20260804T010830
CREATED:20260606T204650Z
LAST-MODIFIED:20260606T204650Z
UID:10000143-1781626500-1781626500@www.trr352.de
SUMMARY:On deriving a kinetic equation from many-body quantum dynamics
DESCRIPTION:Effectively describing the long-time dynamical behavior of quantum systems is a long-standing open problem. When the coupling constant λ of the interaction is small\, the dynamics of the system up to kinetic time t ~ λ -2 is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation. In this talk\, we consider a system of weakly interacting lattice fermions at thermal equilibrium\, and I will describe how the two-point time correlation function of the system depends on the equilibrium solution of the Boltzmann-Nordheim equation. We approach the problem using a perturbation expansion and represent the appearing terms by Feynman diagrams. \nThis is joint work with Phan Thành Nam\, Herbert Spohn\, and Minh-Binh Tran.
URL:http://www.trr352.de/event/on-deriving-a-kinetic-equation-from-many-body-quantum-dynamics/
LOCATION:5606.02.011 (Konferenzraum)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260616T160000
DTEND;TZID=Europe/Berlin:20260616T170000
DTSTAMP:20260804T010830
CREATED:20260614T203221Z
LAST-MODIFIED:20260614T203221Z
UID:10000147-1781625600-1781629200@www.trr352.de
SUMMARY:An introduction to non-local quantum computation
DESCRIPTION:In the setting of non-local quantum computation (NLQC)\, we study how multiple parties can implement channels on a distributed input system by making use of an entangled resource state\, local operations\, and a single round of communication.\nNon-local quantum computation was primarily studied as a means to understand the security of quantum position verification schemes\, but it is also related to information theoretic cryptography and the AdS/CFT correspondence.\nI will first give a basic introduction to the setting\, known connections to other fields and important results about NLQC. Afterwards\, i will talk about how we can study the relative hardness of different NLQC tasks by showing reductions between them.
URL:http://www.trr352.de/event/an-introduction-to-non-local-quantum-computation/
LOCATION:Seminar Room\, 4th floor\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Junior Coffee Breaks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260615T141500
DTEND;TZID=Europe/Berlin:20260615T174500
DTSTAMP:20260804T010830
CREATED:20260610T211948Z
LAST-MODIFIED:20260614T202553Z
UID:10000144-1781532900-1781545500@www.trr352.de
SUMMARY:A Short Course on Exponential Integrators: Construction\, Analysis\, and Implementation for Time Dependent Partial Differential Equations
DESCRIPTION:COURSE OVERVIEW\nExponential integrators are powerful numerical methods for solving time-dependent partial differential equations. This short course introduces the construction\, analysis\, and efficient implementation of exponential integrators\, providing both theoretical foundations and practical insights. \nWe study linearization of semilinear and nonlinear evolution equations and develop modern exponential integration schemes. The course covers convergence theory and implementation issues\, in particular the efficient computation of matrix-function–vector products using Krylov subspace methods. \nThe course is based on the classical review by Hochbruck & Ostermann (2010) and will also address more recent developments. \n\nTOPICS\n\nLinearization of semilinear and nonlinear evolution equations\nExponential Runge–Kutta methods\nExponential Rosenbrock-type methods\nConvergence analysis and error estimates\nThe exponential Euler method – analysis and proof\nEfficient implementation of matrix-function–vector products\nKrylov subspace methods\nRecent developments beyond the review by Hochbruck & Ostermann (2010)\n\n\nSCHEDULE\nMonday\, June 1514:15 – 15:45 \nMonday\, June 1516:15 – 17:45 \nMonday\, June 2216:15 – 17:45 \n\nVENUE\nHörsaal 3 (HS 3)MI BuildingBoltzmannstr. 3TUM-Campus Garching \n\nINTENDED AUDIENCE\nGraduate students\, doctoral researchers\, and scientists interested in: \n\nNumerical analysis\nScientific computing\nDifferential equations\nComputational mathematics\n\n\nREFERENCE\nM. Hochbruck and A. Ostermann.Exponential Integrators.Acta Numerica\, 19:209–286\, 2010. \nhttps://doi.org/10.1017/S0962492910000048 \n\n\n\n\n\n\n\n\nPoster\nA Short Course on Exponential Integrators
URL:http://www.trr352.de/event/a-short-course-on-exponential-integrators-construction-analysis-and-implementation-for-time-dependent-partial-differential-equations/2026-06-15/
LOCATION:5606.EG.011 (MI Hörsaal 3)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Mini Course
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260611T161500
DTEND;TZID=Europe/Berlin:20260611T161500
DTSTAMP:20260804T010830
CREATED:20260617T062037Z
LAST-MODIFIED:20260617T062037Z
UID:10000148-1781194500-1781194500@www.trr352.de
SUMMARY:Birth of a gap: critical phenomena in the normal matrix model
DESCRIPTION:We investigate a family of radially symmetric Coulomb gas systems at inverse\ntemperature \ncoming from the normal matrix model. The family is characterised by the\nproperty that the density of the equilibrium measure vanishes on a ring at\nradius \, which lies strictly inside the droplet. The large n expansion of\nthe free energy is obtained up to a novel term. Next\, we perform a scaling\nlimit of the correlation kernel at the scale and obtain a new limiting\nkernel in the bulk\, which differs from the well-known Ginibre kernel. \nJoint work with Matthias Allard based on arXiv:2509.24529
URL:http://www.trr352.de/event/birth-of-a-gap-critical-phenomena-in-the-normal-matrix-model/
LOCATION:5604.02.011 (Seminarraum)\, Boltzmannstr. 3\, Garching b. München\, 85748
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260609T160000
DTEND;TZID=Europe/Berlin:20260609T160000
DTSTAMP:20260804T010830
CREATED:20260617T062627Z
LAST-MODIFIED:20260617T062627Z
UID:10000149-1781020800-1781020800@www.trr352.de
SUMMARY:Three-body Hamiltonian for abelian anyons with zero-range interactions
DESCRIPTION:Anyons are 2d identical quantum particles with an intermediate exchange symmetry characterized by representations of the braid group. In the abelian case\, they can be modeled through the so-called magnetic representation\, namely as a system of bosons with an Aharonov-Bohm flux attached to each particle. In this talk\, I will discuss the construction of self-adjoint Hamiltonians\, different from the Friedrichs realization\, for a system of three abelian anyons. I will focus in particular on the Ter-Martirosyan-Skornyakov extensions. This family of Hamiltonians turns out to be parametrized by a suitable boundary operator; I will present a complete classification of its self-adjoint realizations and compute the negative spectrum for the specific case of interest. These results shed light on the possible occurrence of Thomas instability in the three-anyon model. Joint work with Michele Correggi (PoliMi) and Davide Fermi (PoliMi)
URL:http://www.trr352.de/event/three-body-hamiltonian-for-abelian-anyons-with-zero-range-interactions/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260520T161500
DTEND;TZID=Europe/Berlin:20260520T170000
DTSTAMP:20260804T010830
CREATED:20260617T063019Z
LAST-MODIFIED:20260617T063019Z
UID:10000151-1779293700-1779296400@www.trr352.de
SUMMARY:A framework to study twisted bilayer graphene in a tight binding model
DESCRIPTION:The study of the electronic properties of twisted bilayer graphene (TBG) has garnered much attention from the condensed matter community recently. TBG is obtained by stacking two graphene monolayers on top of each other\, and rotating one of them with respect to the other. Theoretical and experimental analyses have found that the electronic properties of TBG depend very strongly on the angle between the layers. In fact\, a handful of “magic” angles have been predicted at which TBG becomes a superconductor\, and this has even been verified experimentally. \nThe model commonly used to study TBG is an effective one\, and was derived by Bistritzer and MacDonald. In this talk\, I will present recent results on developing a framework to study TBG from first principles. To be more exact\, we consider a tight-binding model for the electrons\, but make no further approximations. Using a renormalization group technique\, we construct a perturbative expansion to study TBG that is convergent when the twisting angle satisfies certain diophantine conditions. This is joint work with V. Mastropietro.
URL:http://www.trr352.de/event/a-framework-to-study-twisted-bilayer-graphene-in-a-tight-binding-model/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260519T161500
DTEND;TZID=Europe/Berlin:20260519T161500
DTSTAMP:20260804T010830
CREATED:20260606T204336Z
LAST-MODIFIED:20260606T204410Z
UID:10000142-1779207300-1779207300@www.trr352.de
SUMMARY:The liquid-vapor phase transition in a system with a finite but coarse-grained attraction
DESCRIPTION:The standard approach to studying the liquid-vapor phase transition uses the Maxwell double-tangent construction. Whereas this construction is easily justified physically\, deriving it mathematically has proved to be more difficult. In 1966\, Lebowitz and Penrose proved the Maxwell construction in a mean field model\, where the particles interact via a hard-core repulsion\, and an infinite range\, infinitely weak attraction. Generalizing their result to finite pair attractions remains an open problem. \nIn this talk\, I will discuss a proof of the existence of a liquid-vapor phase transition in a system with an attraction that is finite\, but is also coarse-grained. More precisely\, we split up space into mesoscopic boxes\, and define an attraction that ignores the location of the particles within each box. Defined in this way\, our model is reflection positive\, which allows us to prove the existence of a liquid-vapor phase transition. \nThis is joint work with Qidong He\, Joel L. Lebowitz\, and Ron Peled.
URL:http://www.trr352.de/event/the-liquid-vapor-phase-transition-in-a-system-with-a-finite-but-coarse-grained-attraction/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260511T160000
DTEND;TZID=Europe/Berlin:20260511T170000
DTSTAMP:20260804T010830
CREATED:20260422T191046Z
LAST-MODIFIED:20260422T191046Z
UID:10000135-1778515200-1778518800@www.trr352.de
SUMMARY:Stable matrix product state simulations with BUGs
DESCRIPTION:Tensor networks have become a standard computational tool for simulating quantum many-body dynamics. Their time evolution requires the efficient and accurate update of low-rank tensor factors. In recent years\, several new numerical schemes have been proposed for this task. All these methods can be understood within the unified framework of Basis Update and Galerkin (BUG) integrators\, in which the basis matrices are evolved by low-dimensional matrix differential equations\, while the core tensors are updated through a Galerkin projection step. \nWe begin with an introduction to matrix product states\, also known as tensor trains in the mathematical literature. Further\, it will introduce the basic ideas behind the BUG integrator. Particular emphasis will be placed on their remarkable properties like rank-adaptivity\, parallelism and the preservation of physical invariants such as norm and energy. Numerical experiments from quantum physics will demonstrate the theoretical results and explore the potential of BUG integrators for large-scale many-body quantum systems.
URL:http://www.trr352.de/event/stable-matrix-product-state-simulations-with-bugs/
LOCATION:Room 5612.03.020 (Besprechungsraum)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Junior Coffee Breaks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260508T163000
DTEND;TZID=Europe/Berlin:20260508T163000
DTSTAMP:20260804T010830
CREATED:20260426T173257Z
LAST-MODIFIED:20260426T173257Z
UID:10000139-1778257800-1778257800@www.trr352.de
SUMMARY:Mixing times of liftings of the Totally Asymmetric Simple Exclusion Process (Probability Colloquium Augsburg-Munich)
DESCRIPTION:Under suitable assumptions\, a Markov chain will converge at large times to its stationary measure\, over a time scale known as the mixing time. Markov chains can then be used to approximately sample from a complex distribution\, which is the principle underlying Markov Chain Monte Carlo techniques. In this context\, there has been strong interest both in the physics and the mathematics literature in lifting Markov chains\, which is a way to modify an initial Markov chain so that that the lifted Markov chain converges faster to its stationary measure. We study a particle system which is both a lifting of the TASEP (Totally Asymmetric Simple Exclusion Process) and a periodic instance of self-repelling random walks. Using a graphical representation\, we identify a coupling time with some delay\, which allows us to study two notions of mixing times of the model. For the standard notion of mixing time\, we show that the model does not converge abruptly to stationarity\, whereas for a mixing time associated with an average of the distribution over the last few steps\, convergence to stationarity is abrupt\, which is known as the cutoff phenomenon.
URL:http://www.trr352.de/event/mixing-times-of-liftings-of-the-totally-asymmetric-simple-exclusion-process-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260508T150000
DTEND;TZID=Europe/Berlin:20260508T150000
DTSTAMP:20260804T010830
CREATED:20260426T173058Z
LAST-MODIFIED:20260426T173125Z
UID:10000138-1778252400-1778252400@www.trr352.de
SUMMARY:Limit processes for KPZ models with flat initial conditions (Probability Colloquium Augsburg-Munich)
DESCRIPTION:We consider stochastic growth models in the Kardar-Parisi-Zhang universality class\, like the asymmetric simple exclusion process or the last passage percolation. We will give an overview of older and recent results on the limit process and its properties for KPZ growth models with flat initial conditions\, ranging from regularity\, decorrelation in space and time\, to the persistence probability of the limit processes.
URL:http://www.trr352.de/event/limit-processes-for-kpz-models-with-flat-initial-conditions-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260506T161500
DTEND;TZID=Europe/Berlin:20260506T171500
DTSTAMP:20260804T010830
CREATED:20260617T062841Z
LAST-MODIFIED:20260617T062841Z
UID:10000150-1778084100-1778087700@www.trr352.de
SUMMARY:Global Self-Similar solutions\, Breakdown of Asymptotic Completeness-New Physics?
DESCRIPTION:For Schrödinger-type equations with time-dependent\, spatially local interactions — including nonlinear cases — there exist solutions that are neither localized nor scattering. These solutions exhibit sub-ballistic spreading\, yet are global\, asymptotically stable\, and transport mass (the L^2-norm) to infinity. I will describe the construction of such self-similar solutions and discuss some of their physical implications.
URL:http://www.trr352.de/event/global-self-similar-solutions-breakdown-of-asymptotic-completeness-new-physics/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260505T161500
DTEND;TZID=Europe/Berlin:20260505T161500
DTSTAMP:20260804T010830
CREATED:20260606T204227Z
LAST-MODIFIED:20260606T204227Z
UID:10000141-1777997700-1777997700@www.trr352.de
SUMMARY:From Scattering to Local Decay: The case of Time Dependent Potentials and Nonlinear Equations
DESCRIPTION:I will describe the new approach to scattering theory\, which extends to time dependent potentials\, including nonlinear equations. In particular\, recent progress for one dimensional cases\, Long-Range scattering and Local-Decay estimates.
URL:http://www.trr352.de/event/from-scattering-to-local-decay-the-case-of-time-dependent-potentials-and-nonlinear-equations/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260428T160000
DTEND;TZID=Europe/Berlin:20260428T170000
DTSTAMP:20260804T010830
CREATED:20260606T203923Z
LAST-MODIFIED:20260606T203923Z
UID:10000140-1777392000-1777395600@www.trr352.de
SUMMARY:Classical comparison theorem for the gap of the Davies Lindbladian for qLDPC codes nur online
DESCRIPTION:In this talk\, I will describe some work in progress about relating the low-lying spectrum of the Davies Lindbladian for qLDPC codes to that of Glauber dynamics on a classical model.
URL:http://www.trr352.de/event/classical-comparison-theorem-for-the-gap-of-the-davies-lindbladian-for-qldpc-codes-nur-online/
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260422T160000
DTEND;TZID=Europe/Berlin:20260422T160000
DTSTAMP:20260804T010830
CREATED:20260423T201931Z
LAST-MODIFIED:20260423T201931Z
UID:10000136-1776873600-1776873600@www.trr352.de
SUMMARY:Extrapolation methods for Γ-convergence and applications to image processing
DESCRIPTION:
URL:http://www.trr352.de/event/extrapolation-methods-for-%ce%b3-convergence-and-applications-to-image-processing/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260421T161500
DTEND;TZID=Europe/Berlin:20260421T161500
DTSTAMP:20260804T010830
CREATED:20260426T152752Z
LAST-MODIFIED:20260426T152752Z
UID:10000137-1776788100-1776788100@www.trr352.de
SUMMARY:Rapid thermalization of lattice CSS codes
DESCRIPTION:Calderbank-Shor-Steane (CSS) codes\, such as the toric code\, are a widely studied class of quantum error-correcting codes. Understanding the thermalization time of these systems is important not only for error correction but also for applications like Gibbs sampling. \nWe show that CSS codes on a lattice satisfy a modified logarithmic Sobolev inequality and thus thermalize rapidly in any dimension at sufficiently high temperatures. For a special subclass\, including the toric code\, this rapid thermalization even holds at all positive temperatures. The central idea underlying our approach is to exploit the structure of CSS codes to decompose a quantity into two simpler\, (almost) classical components\, allowing us to apply tools from classical statistical mechanics to analyze the thermalization. In the last part I will show how this method generalizes to 2D Abelian quantum double models. \nThis is joint work with Ángela Capel\, Li Gao\, Angelo Lucia\, David Pérez-García\, Antonio Pérez-Hernández\, Cambyse Rouzé and Simone Warzel.
URL:http://www.trr352.de/event/rapid-thermalization-of-lattice-css-codes/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260309T000000
DTEND;TZID=Europe/Berlin:20260313T235959
DTSTAMP:20260804T010830
CREATED:20250404T183701Z
LAST-MODIFIED:20260117T132920Z
UID:10000010-1773014400-1773446399@www.trr352.de
SUMMARY:TRR 352 Winter School on Mathematical Physics
DESCRIPTION:Registration for the TRR 352 Winter School on Mathematical Physics is now open!\nThe event will take place from March 9-13\, 2026\, at the Georg-von-Vollmar-Akademie in Kochel am See. \nInvited speakers: \n\nEmanuela L. Giacomelli (University of Milan)\nVojkan Jaksic (Politecnico di Milano)\nBenjamin Schlein (University of Zurich)\nKatharina Schratz (Sorbonne University)\n\nParticipation is free of charge\, but registration is mandatory. Please register by February 8\, 2026. \nTo access more details and the registration form\, please visit our website:\nhttps://sites.google.com/view/trr352winterschool26/home
URL:http://www.trr352.de/event/trr-352-winter-school-on-mathematical-physics/
LOCATION:Georg-von-Vollmar-Akademie\, Am Aspensteinbichl 9\, Kochel am See\, 82431\, Germany
CATEGORIES:Schools
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260209T160000
DTEND;TZID=Europe/Berlin:20260209T160000
DTSTAMP:20260804T010830
CREATED:20251223T121749Z
LAST-MODIFIED:20260129T191257Z
UID:10000125-1770652800-1770652800@www.trr352.de
SUMMARY:A probabilistic approach to BEC
DESCRIPTION:A gas of interacting Bosons can be represented using an ensemble of stochastic diffusions – a Brownian loop soup. In this talk\, we review the construction of this Feynman representation\, its representation of Free Energy and the 1-PRDM. We also introduce some results from the literature in the dilute and other regimes and state some conjectures.
URL:http://www.trr352.de/event/a-probabilistic-approach-to-bec/
LOCATION:Room 5612.EG.019 (CIT Sitzungsraum 2)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Junior Coffee Breaks
ORGANIZER;CN="Quirin Vogel":MAILTO:Quirin.Vogel@aau.at
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260122T190000
DTEND;TZID=Europe/Berlin:20260122T190000
DTSTAMP:20260804T010830
CREATED:20260122T202110Z
LAST-MODIFIED:20260122T202110Z
UID:10000132-1769108400-1769108400@www.trr352.de
SUMMARY:Semi-classical limit of a trapped dilute Fermi gas
DESCRIPTION:
URL:http://www.trr352.de/event/semi-classical-limit-of-a-trapped-dilute-fermi-gas/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260122T180000
DTEND;TZID=Europe/Berlin:20260122T180000
DTSTAMP:20260804T010830
CREATED:20260122T202030Z
LAST-MODIFIED:20260122T202030Z
UID:10000131-1769104800-1769104800@www.trr352.de
SUMMARY:A Pohozaev identity for the Spectral Fractional Laplacian
DESCRIPTION:
URL:http://www.trr352.de/event/a-pohozaev-identity-for-the-spectral-fractional-laplacian/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260120T150000
DTEND;TZID=Europe/Berlin:20260120T150000
DTSTAMP:20260804T010830
CREATED:20260117T130818Z
LAST-MODIFIED:20260117T131351Z
UID:10000127-1768921200-1768921200@www.trr352.de
SUMMARY:On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
DESCRIPTION:Describing the long-time dynamical behaviour of quantum systems is a long-standing open problem. \nWhen the coupling constant  of the interaction is small\, the dynamics of the system up to kinetic time  is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation. \nIn this talk\, I will present a result on the two-point time correlation function of a system of lattice fermions at thermal equilibrium\, and I will explain how to approach the problem using a perturbation expansion and representing the appearing terms by Feynman diagrams. \nThis is joint work with Phan Thành Nam\, Herbert Spohn\, and Minh-Binh Tran.
URL:http://www.trr352.de/event/on-the-asymptotic-behavior-at-the-kinetic-time-of-a-weakly-interacting-fermi-gas/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Junior Coffee Breaks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260114T180000
DTEND;TZID=Europe/Berlin:20260114T180000
DTSTAMP:20260804T010830
CREATED:20260111T195018Z
LAST-MODIFIED:20260111T195018Z
UID:10000126-1768413600-1768413600@www.trr352.de
SUMMARY:Bound states of the Pauli operator in two dimensions - weak coupling asymptotics and CLR-type inequalities
DESCRIPTION:
URL:http://www.trr352.de/event/bound-states-of-the-pauli-operator-in-two-dimensions-weak-coupling-asymptotics-and-clr-type-inequalities/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
END:VCALENDAR