Thursday, February 27, 2020
4:00 PM -
5:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
Bounded Euler systems for Rankin-Selberg products of modular forms
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.
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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].