Donnerstag, 25.06.2026: Towards a Complete Theory of Hyperbolic Systems with Constraint and Gauge Freedoms
Prof. Dr. Oscar Reula (University of Córdoba, ARGENTINA)
Abstract: The mathematical theory for hyperbolic systems where the number of equations matches the number of unknowns was largely settled over 70 years ago, establishing the conditions for stable initial-boundary value formulations. However, most physical systems deviate from this ideal type, possessing inherent "constraints" and "gauge freedoms." For these systems, a comprehensive theory remains underdeveloped. In this talk, I will review the current understanding of these complexities, highlight recent progress, and formulate the fundamental questions required to establish a complete theory.
| Uhrzeit: |
14:00 |
| Ort: |
C4H33 and virtual via zoom, for zoom link please contact Abir Seghirate |
| Gruppe: |
Oberseminar Geometrische Analysis, Differentialgeometrie und Relativitätstheorie |
| Einladender: |
Carla Cederbaum, Gerhard Huisken, zusammen mit Jan Metzger (Potsdam) |
Donnerstag, 25.06.2026: Derivation of classical $\Phi^4_3$ theory from many-body quantum mechanics
Prof. Dr. Phan Thành Nam (LMU)
We will discuss a rigorous derivation of the classical $\Phi^4_3$ measure as a semiclassical limit of the quantum Gibbs state for an interacting Bose gas. The proof combines renormalization techniques from stochastic quantization for the construction of the singular measure and variational principles from many-body quantum mechanics. The talk is based on joint work with Rongchan Zhu and Xiangchan Zhu.
| Uhrzeit: |
14:30 |
| Ort: |
C4H43 |
| Gruppe: |
Oberseminar Mathematical Physics |
| Einladender: |
Keppeler, Lemm, Pickl, Teufel, Tumulka |
Donnerstag, 02.07.2026: Topological phases of non-interacting systems: A general approach based on states
Prof. Giuseppe de Nittis (Pontificia Universidad Católica de Chile)
In this work we provide a classification scheme for topological phases of
certain systems whose observable algebra is described by certain (trivial)
C*-bundles. The classification is based on the study of the homotopy
classes of configurations, which are maps from a quantum parameter space to
the space of pure states of a reference fiber C*-algebra. Both the quantum
parameter space and the fiber algebra are naturally associated with the
observable algebra. A list of various examples described in the last part
shows that the common classification scheme of non-interacting topological
insulators of type A is recovered inside this new formalism.
| Uhrzeit: |
14:30 |
| Ort: |
C3N14 |
| Gruppe: |
Oberseminar Mathematical Physics |
| Einladender: |
Keppeler, Lemm, Pickl, Teufel, Tumulka |
