Arithmetic and Representation Theory (ART) Seminar

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.