Oberseminar Stochastik: Quirin Vogel (Universität Klagenfurt): The Feynman representation for the interacting Bose gas
Wednesday, 04.02.2026 16:00 im Raum SRZ 216/217
The Bose gas is an important model in quantum statistical mechanics. In this talk, I introduce a probabilistic representation going back to Feynman, given by a reference measure and an interaction. I will first review some results on the reference process. I will then discuss recent results and techniques regarding the construction of Gibbs measures and large deviations when interaction is present.
Angelegt am 29.01.2026 von Claudia Giesbert
Geändert am 29.01.2026 von Claudia Giesbert
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Katrin Wehrheim (University of Berkeley): What connects Symplectic Geometry so deeply with Algebraic Geometry and Low Dimensional Topology?
Friday, 06.02.2026 10:00 im Raum SRZ 216/17
Abstract:
The answer that I will propose is a higher categorical structure in symplectic geometry that includes all Fukaya categories and geometric functors between them. Its highly involved algebraic and analytic details are the topic of joint work with Nate Bottman. However, its basic structure can be understood as a natural -- yet not previously studied -- extension of the category of topological spaces and continuous maps. So the goal of this talk is to make broadly accessible the two underlying ideas: The notion of quilts (collections of maps related by ``seam conditions'') and the string diagram approach to constructing and making sense of 2-categories.
Angelegt am 22.01.2026 von Claudia Rüdiger
Geändert am 22.01.2026 von Claudia Rüdiger
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Angela Ortega (HU Berlin): The geometry of the Prym map
Thursday, 26.02.2026 16:00 im Raum SRZ 216/217
The Prym varieties introduced by Mumford in the 70's opened new perspectives in the study of the moduli space of abelian varieties:
Prym varieties are abelian varieties arising from covers between curves.
They generalize Jacobians and provide a larger class of abelian varieties which can be understood in terms of 1-dimensional geometric objects.
For instance, it is known that the general principally polarized abelian variety of dimension less than or equal to 5 is the Prym variety of some unramified double cover.
The Prym map between the moduli space of covers and the moduli space of abelian varieties assigns to each covering its Prym variety. In this talk I will discuss the geometry of the fibres of the Prym map for double covers in low genera, the global injectivity of the Prym map for ramified double covers, as well as the most recent results on the general injectivity of the Prym map for cyclic covers.
Angelegt am 03.02.2026 von Carolin Gietz
Geändert am 03.02.2026 von Carolin Gietz
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