Venue: Lecture Hall of IASM

Time: May 6，16:00 - 17:00

Speaker: David Hansen (National University of Singapore)

Abstract: Since the pioneering work of Drinfeld, p-adic period domains have been a driving force behind many developments in non-archimedean geometry. However, despite many advances, the basic question of computing their cohomology has remained completely open outside of a few very special cases treated by Drinfeld and Schneider–Stuhler over 30 years ago. In this talk I will present a general formula for the cohomology of these spaces for GL_n. This formula is elementary, and it has several unusual features which suggest some very rich phenomenology. I will explain this formula and where it comes from, present several examples, and take the first steps towards unraveling the patterns this formula is hiding. Joint with Dai Wenhan.