Sonstige Vorträge

I will give an introduction to Lue Pan?s approach to the study of p-adic completed cohomology of Shimura varieties, focusing on the example of quaternionic Shimura curves. I will then discuss applications to locally analytic representations of the multiplicative group of the non-split quaternion algebra over Qp. This talk is based on joint work with Zhenghui Li and Benchao Su.

Get an insight into the research of seven new postdoctoral researchers of Mathematics Münster. In short scientific presentations they will introduce their topics.
After the talks, there will be the opportunity to exchange ideas while enjoying tea, coffee and cake in the Common Room.

Abstract: The Madsen-Weiss theorem describes the homology of mapping class groups of surfaces in the stable range and similarly Galatius' theorem describes the homology of Aut(F_n) in the stable range. Both theorems can be proven by determining the homotopy type of an appropriate bordism category using a "scanning" argument. I will describe an alternative approach, based on joint work in progress with Shaul Barkan, that computes the homotopy types of these categories by studying symmetric monoidal functors out of them. This will work in the more general framework of modular infinity-operads. As other examples of this approach we will also obtain the stable homology of 3-dimensional handlebodies and connected sums of S^1 x S^2, confirming two conjectures of Hatcher.

I will give an introduction to Lue Pan?s approach to the study of p-adic completed cohomology of Shimura varieties, focusing on the example of quaternionic Shimura curves. I will then discuss applications to locally analytic representations of the multiplicative group of the non-split quaternion algebra over Qp. This talk is based on joint work with Zhenghui Li and Benchao Su.