|Location:||MSRI: Simons Auditorium, Online/Virtual|
ES Learning Seminar: "Sharifi's Conjecture I: From Modular Symbols To Cup Products"
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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.
Study on Sharifi's Conjecture
Sharifi's Conjecture I: From Modular Symbols to Cup Products