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Number Theory Seminar

Thursday, February 9, 2023
4:00pm to 5:00pm
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Linde Hall 387
Artin formalism for non-genuine p-adic Garrett-Rankin L-functions
Kazim Büyükboduk, School of Mathematics and Statistics, University College Dublin,

I will report joint work with D. Casazza and R. Sakamoto, where we formulate a conjecture (and prove it in many cases) on the factorization of a certain triple product p-adic L-function whose range of interpolation is empty. The relevant factorization statement reflects not only the Artin formalism for the underlying family of motives (which decompose as the sum of 2 motives of respective degrees 2 and 6) but also dwell on the interplay between various Gross--Zagier formulae for the relevant complex L-series, and the subtle relationship between the derivatives of complex L-series at their central critical point and p-adic L-functions.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].