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Thursday, February 27, 2020
4:00 PM - 5:00 PM
Linde Hall 387

Number Theory Seminar

Bounded Euler systems for Rankin-Selberg products of modular forms
Antonio Lei, Department of Mathematics and Statistics, Laval University,

I will first give an overview of the theory of Euler systems and its use in Iwasawa Theory. I will then review a recent work of Loeffler and Zerbes, who have defined certain cohomology classes for the Rankin-Selberg product of two Coleman families. I will explain a factorisation technique that can be used to turn these classes into a bounded Euler system for the Rankin-Selberg product of two modular forms with mixed reduction type. If time permits, I will discuss some applications in the Iwasawa theory of modular forms over imaginary quadratic fields. This is joint work with Kazim Buyukboduk.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.