This seminar series gives visitors and staff members the opportunity to explain the context and aims of their work. During semester, the SMRI seminar is usually on Thursdays from 1 pm — 2 pm, followed by afternoon tea. These research talks cover any field in the mathematical sciences, and should be presented in a way that is understandable and interesting to a broad audience. Seminar information and recordings can be found below and in the SMRI Seminar YouTube playlist.
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Upcoming:
SMRI Seminar, ‘Cohomology of p-adic period domains’
David Hansen, National University of Singapore
Thursday 22nd January, SMRI Seminar Room (A12 Macleay Room 301)
Abstract: Since the pioneering work of Drinfeld, p-adic period domains have been a driving force behind many developments in nonarchimedean 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. 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.