Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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.
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Study on Sharifi's Conjecture
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Sharifi's Conjecture I: From Modular Symbols to Cup Products
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