𝑝-adic variation of automorphic sheaves – A. Iovita & F. Andreatta & V. Pilloni – ICM2018

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Number Theory
Invited Lecture 3.3
𝑝-adic variation of automorphic sheaves
Adrian Iovita & Fabrizio Andreatta & Vincent Pilloni

Abstract: We review the construction of analytic families of Siegel modular cuspforms based on the notion of overconvergent modular forms of 𝑝-adic weight. We then present recent developments on the following subjects: the halo conjecture, the construction of 𝑝-adic L-functions, and the modularity of irregular motives.

ICM 2018 – International Congress of Mathematicians ©
 
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