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Towards a p-adic analytic Riemann-Hilbert Correspondence

  • 演讲者:Finn Wiersig(哈佛大学/ 新加坡国立大学)

  • 时间:2024-06-18 16:30-17:30

  • 地点:Zoom ID: 998 2364 4491(密码: 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.