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Event

Keerthi Madapusi Pera, University of Chicago

Monday, January 9, 2017 16:00to17:00
Burnside Hall BURN 719, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

TITLE:

Periods, L-functions and Abelian Varieties

Ìý

Abstract:

PeriodsÌýare a special class of complex numbers, arising as integrals of differential forms on algebraic varieties. L-functions are analytic objects that generalize the Riemann zeta function. Both are objects admitting deceptively simple definitions, but carry deep arithmetic information.


In this talk,ÌýI'll explain a relationship between periods of abelian varieties with complex multiplication, and certain Artin L-functions, originally conjectured by P. Colmez, and sketch a proof of it that arose out of joint work with Andreatta, Goren and Ben Howard. Among other applications, this relationship has led to a proof by J. Tsimerman of the Andre-Oort conjecture for Siegel modular varieties.

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