We welcome everyone!
Organizers: Benjamin Brubaker, Tsao-Hsien Chen, Adrian Diaconu, Haoyang Guo, Dihua Jiang, Kai-Wen Lan
Time: Friday, 1:30 pm - 3:00 pm.
Location: Vincent Hall 570
Abstract: We give a simple linear algebraic description of trianguline representations, and then apply the result to obtain results on global geometry of X_B, the p-adic analogue of the stack of Langlands parameters valued in the Borel B in GL_n.
Abstract: The microlocal point of view says that the study of an object on a space benefits from systematic constructions involving the cotangent bundle. It was introduced by M. Sato in the 1960s for studying partial differential equations and has since been fruitfully applied to many other fields. In this talk, I will discuss the basics of the microlocal theory of sheaves in various contexts. Applications will be mentioned.
Abstract:
Abstract: The Ax-Lindemann theorem is a transcendence result for period maps of global Shimura varieties, which loosely can be stated by saying that the only algebraic relations on period images of a subvarieties of a Shimura variety are those determined by special subvarieties. In this talk, I will discuss the bi-analytic Ax-Lindemann theorem for local Shimura varieties. In mixed characteristic this is joint with Sean Howe, and in equicharacteristic this is work in progress.