Oberseminare und sonstige Vorträge

In these two talks I will present my current project on endowing a torsor structure on L-packet of the covering tori. In the first half I will talk about how to construct gerbes on the groupoid of isocrystals, and a formulation of the Langlands correspondence of sharp covering tori on the level of gerbes. In the second half I will talk about how the groupoid of isocrystals of the sharp tori can help to interpolate the L-packets of different extended pure inner forms of the covering tori, which gives rise to the desired torsor structure.

Perfectoid algebras and spaces are fundamental objects in modern p-adic geometry. However, many of the foundational results about them are only true "up to almost mathematics". By contrast, passing to Banach ultraproducts can eliminate this ?almost?. Our aim is to identify the structural properties of these Banach ultraproducts that make this possible. Joint work in progress with Franziska Jahnke.

The theory of six functor formalisms is of high importance in geometric representation theory. Classically, one focuses in six functors on known cohomology theories such as coherent sheaves, étale sheaves or D-modules. However, thanks to the foundational work of Heyer--Mann on abstract six functor formalisms, and all the further advancements that have occurred since then, it is now possible to apply some of these techniques in rather general and abstract situations. Having such level of abstraction and generality could seem pretentious, but it turns out to be extremely useful in classical, but also complicate, frameworks of representation theory such as the theory of locally analytic p-adic representations. In this talk I will discuss the formalism behind scenes, namely the presentable category of kernels, and mention some applications to Cartier duality and the theory of locally analytic representations.

tba If you are interested please contact Prof. Dr. Anna Siffert (asiffert@uni-muenster.de)

tba via Zoom If you are interested please contact Prof. Dr. Anna Siffert (asiffert@uni-muenster.de)