Department of Mathematics


  •  Keerthi Madapusi Pera, University of Chicago
  •  Periods, L-functions and abelian varieties
  •  02/01/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall

Periods are 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, I'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.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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