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DTSTART;TZID=Europe/Berlin:20250205T121500
DTEND;TZID=Europe/Berlin:20250205T121500
DTSTAMP:20260504T072228
CREATED:20250404T163259Z
LAST-MODIFIED:20250404T163614Z
UID:10000007-1738757700-1738757700@www.trr352.de
SUMMARY:From tensor networks to Frobenius Schur indicators: some applications of state-sum models with boundaries
DESCRIPTION:State-sum constructions have numerous applications in both mathematics and physics. In mathematics\, they yield invariants for knots and manifolds and serve as a powerful organizing principle in representation theory. To illustrate this principle\, we discuss equivariant Frobenius-Schur indicators. In the context of physics\, we explain how state-sum models offer a conceptual framework for tensor network models\, based on collaboration with Fuchs\, Haegeman\, Lootens\, and Verstraete.
URL:https://www.trr352.de/event/from-tensor-networks-to-frobenius-schur-indicators-some-applications-of-state-sum-models-with-boundaries/
LOCATION:Room HS3 (MI 00.06.011)\, Boltzmannstr. 3\, Garching Forschungszentrum\, 85748\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Prof. Dr. Christoph Schweigert":MAILTO:christoph.schweigert@uni-hamburg.de
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DTSTART;TZID=Europe/Berlin:20250206T121500
DTEND;TZID=Europe/Berlin:20250206T150000
DTSTAMP:20260504T072228
CREATED:20250403T182452Z
LAST-MODIFIED:20250507T064024Z
UID:10000004-1738844100-1738854000@www.trr352.de
SUMMARY:On the error analysis of full discretizations of Friedrichs' systems
DESCRIPTION:In this talk\, we address the full discretization of Friedrichs’ systems with a two-field structure\, such as Maxwell’s equations or the acoustic wave equation in div-grad form. \nWe follow a method of lines approach\, where we first discretize in space via the discontinuous Galerkin method. Subsequently\, we consider different second-order schemes for time integration\, namely the Crank–Nicolson scheme\, the leapfrog scheme\, and a general class of local time integration methods which comprises a locally implicit and a new local time-stepping scheme. We show the stability of the fully discrete schemes (subject to an appropriate CFL condition where necessary) and error bounds that are optimal in space and time and robust under mesh refinement. These bounds are derived within a unified error analysis based on the fact that all schemes can be interpreted as perturbations of the Crank–Nicolson scheme. \nWe conclude with numerical experiments in which we compare different local time integration methods for Maxwell’s equations. \nThis is joint work with Malik Scheifinger\, KIT \nFunded by the Deutsche Forschungsgemeinschaft (DFG\, German Research Foundation) – Project-ID 258734477 – SFB 1173
URL:https://www.trr352.de/event/on-the-error-analysis-of-full-discretizations-of-friedrichs-systems/
LOCATION:Room 03.10.011\, Boltzmannstr. 3\, Garching Forschungszentrum\, 85748\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Prof. Dr. Marlis Hochbruck":MAILTO:marlis.hochbruck@kit.edu
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