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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251208T000000
DTEND;TZID=Europe/Berlin:20251212T235959
DTSTAMP:20260503T193530
CREATED:20250904T100216Z
LAST-MODIFIED:20250904T103701Z
UID:10000116-1765152000-1765583999@www.trr352.de
SUMMARY:Emergent phenomena in many-body quantum systems
DESCRIPTION:The microscopic laws of quantum mechanics give rise to some of the most fascinating macroscopic phenomena in physics\, such as superfluidity and superconductivity. The theoretical description of such phenomena is intimately linked with beautiful mathematics in fields like functional analysis\, partial differential equations\, or probability. This conference brings together internationally recognised experts in mathematical physics to report on recent developments and exchange new ideas. The meeting will provide opportunities for early-career researchers to present their work and initiate new collaborations\, thus ensuring the future dynamism of the field.
URL:http://www.trr352.de/event/emergent-phenomena-in-many-body-quantum-systems/
LOCATION:Centre International de Rencontres Mathématiques (CIRM)\, 163 Av. de Luminy\, Marseille\, 13009\, France
CATEGORIES:Workshops/Conferences
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251210T170000
DTEND;TZID=Europe/Berlin:20251210T170000
DTSTAMP:20260503T193530
CREATED:20260117T132305Z
LAST-MODIFIED:20260117T132305Z
UID:10000129-1765386000-1765386000@www.trr352.de
SUMMARY:The Widom-Sobolev formula for the free Dirac operator
DESCRIPTION:With the proof of Widom’s conjecture giving new insights on the entanglement properties of the non-relativistic free Fermi gas\, it is a natural question whether this situation extends to the relativistic case\, where the single-particle Hamiltonian is given by the free Dirac operator. \nIn this talk I give a brief introduction to both the Widom-Sobolev formula as well as the free Dirac operator\, and give an answer to the question above. I also talk about the strategy of the proof of this result\, in particular I show how it can be reduced to an application of another result from my PhD thesis\, a Widom-Sobolev formula for more general matrix-valued symbols. \nThe presented results were obtained in collaboration with Peter Müller.
URL:http://www.trr352.de/event/the-widom-sobolev-formula-for-the-free-dirac-operator/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Junior Coffee Breaks
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DTSTART;TZID=Europe/Berlin:20251212T143000
DTEND;TZID=Europe/Berlin:20251212T180000
DTSTAMP:20260503T193530
CREATED:20251202T201643Z
LAST-MODIFIED:20251202T201643Z
UID:10000123-1765549800-1765562400@www.trr352.de
SUMMARY:Probability Colloquium Augsburg-Munich
DESCRIPTION:Schedule:\n\n14:30    Welcome\n15:00    Talk by   Nicos Georgiou (Sussex)\n16:00    Coffee break\n16:30    Talk by  Christian Kühn (TU Munich)\n18:00    Option for common dinner\n\n  \n\nTitles and abstracts:\nNicos Georgiou: Mean-field limit and parameter estimation for contagion dynamics on higher-order structures \nClassical models of contagion epidemics have graph based representations where the nodes represent the population and infections occur from an infected individual to a susceptible individual via a network link between them. At the same time\, healing mechanisms try to fight the epidemic at node level. The simple descriptions of these representations also underscore their limitations\, since the propagation of contagions in complex systems often involves repeated or simultaneous stimuli that individuals receive from their social contacts (such as their work or household). One may mechanistically encode these non-linear effects into contagion models by considering interactions that go beyond simple pairwise connections\, by using hypergraphs rather than graphs. In this talk we will see the role higher-order interactions can play in the behaviour of the model when a rigorous mean-field can be obtained. Furthermore\, we will discuss some inference techniques for the parameters of the epidemic (rates of infection) when only partial information on the type of infection is available and with only a single realisation of the epidemic curve as a datum. \n  \nChristian Kühn: Epidemic Dynamics: From Simple Models to Complex Systems \nIn this talk\, I am going to give an overview of various techniques to analyze contact processes and their nonlinear dynamics with a focus on moment-based methods. The main results will be (a) the existence of periodic motion in systems with waning immunity\, (b) warning signs for outbreaks in adaptive epidemic models with social distancing and quarantining\, (c) the influence of transport in multiplex networks\, and (d) the influence of multiscale group interactions to prevent epidemics. We shall also see how to locally justify moment closure expansions of the dynamics.
URL:http://www.trr352.de/event/probability-colloquium-augsburg-munich-2/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Colloquia
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20251215T160000
DTEND;TZID=Europe/Berlin:20251215T160000
DTSTAMP:20260503T193530
CREATED:20260117T132056Z
LAST-MODIFIED:20260117T132056Z
UID:10000128-1765814400-1765814400@www.trr352.de
SUMMARY:Validity of Kubo formula for 1d and quasi-1d lattice fermionic systems
DESCRIPTION:We study the dynamical density and current responses of a class of non-interacting\, one-dimensional gapless lattice Fermi systems subjected to density-type perturbations slowly varying in space and time\, in the infinite-volume and zero-temperature limit. In addition\, we analyse the edge density and current responses for quantum Hall lattice systems defined on a cylindrical geometry. \nWe establish the validity of linear response for these observables\, thereby providing a justification of Kubo’s formula. The latter is computed explicitly in terms of the spectral properties at the Fermi points and the profile of the perturbation. \nThe proof of linear response validity on the relevant time scales is based on a detailed analysis of the imaginary-time Duhamel expansion. A crucial ingredient is a cancellation mechanism in the scaling limit of higher-order correlation functions that describe the nonlinear part of the response. \nJoint work with Marcello Porta.
URL:http://www.trr352.de/event/validity-of-kubo-formula-for-1d-and-quasi-1d-lattice-fermionic-systems/
LOCATION:Seminar Room\, 4th floor\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Junior Coffee Breaks
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