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Seminar

ES Learning Seminar: "Sharifi's Conjecture I: From Modular Symbols to Cup Products" February 15, 2023 (10:30 AM PST - 12:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Oscar Rivero Salgado (University of Warwick)
Description No Description
Video

ES Learning Seminar: "Sharifi's Conjecture I: From Modular Symbols To Cup Products"

Abstract/Media

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In this first talk of a series of three, we discuss the motivation behind Sharifi's conjecture, which connects the geometric theory of GL2 (modular symbols) with the arithmetic theory of GL1 (cup products). We define a map between those objects and introduce Beilinson--Kato's elements, which play a crucial role in the picture. In particular, we discuss how to understand Sharifi's map as an application corresponding to specializing at infinity the Beilinson--Kato classes.

Asset no preview Study on Sharifi's Conjecture 135 KB application/pdf
Asset no preview Sharifi's Conjecture I: From Modular Symbols to Cup Products 2.4 MB application/pdf

ES Learning Seminar: "Sharifi's Conjecture I: From Modular Symbols To Cup Products"