Vorträge in der Woche 30.04.2018 bis 06.05.2018
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Donnerstag, 03.05.2018: A Gutzwiller type trace formula for the magnetic Dirac operator
Nikhil Savale (University of Cologne)
For manifolds including metric-contact manifolds with non-resonant Reeb flow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributions from Reeb orbits on the base. As an application, we prove a semiclassical limit formula for the eta invariant.
| Uhrzeit: | 16:15 |
| Ort: | N14 |
| Gruppe: | Oberseminar Mathematische Physik |
| Einladender: | Hainzl, Keppeler, Porta, Teufel, Tumulka |
Freitag, 04.05.2018: The entropy in the Kac model
Alissa Geisinger
When Mark Kac introduced his model for the kinectic energy of gases of interacting particles in his famous paper „Foundations of kinetic theory“ in 1956, one of his main goals was to provide a mathematical framework for the investigation of approach to equilibrium. In this talk we will introduce the Kac model and discuss recent results concerning approach to equilibrium in the Kac model. This will lead us to the notion of relative entropy and to the discussion of a recent result on exponential decay of solutions of the Kac master equation in entropy relative to the thermal state. This result has been obtained in collaboration with Federico Bonetto, Michael Loss and Tobias Ried. In particular, we will discuss the importance of the choice of the initial conditions and optimality of the rate.
| Uhrzeit: | 14:00 |
| Ort: | Hörsaalzentrum 7E02 |
| Gruppe: | Promotionsvortrag |
| Einladender: | Hainzl, Loss |