Research-Towards a p-adic analytic Riemann-Hilbert Correspondence

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Towards a p-adic analytic Riemann-Hilbert Correspondence

Speaker: Finn Wiersig（University of Oxford/ National University of Singapore）
Time: Jun 18, 2024, 16:30-17:30
Location: Zoom ID: 998 2364 4491(Password: sustech123)

Abstract

The Riemann-Hilbert correspondence establishes a profound connection between certain differential equations on a given complex analytic manifold and its topology. This result had numerous interesting applications; for example, it was applied by Beilinson-Bernstein and Brylinski-Kashiwara in the 1980s to study the representation theory of semisimple algebraic groups. This talk explores ongoing research leveraging these concepts to investigate representation theory appearing in the p-adic local Langlands program, focusing on progress towards a p-adic analytic Riemann-Hilbert correspondence.