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Algebraic Geometry: "Hodge Structures with Hodge Numbers (n,0,...,0,n)"

Dr. Laure Flapan, UC Los Angeles

Thursday, May 18, 2017
  2:10–3 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar

Description: One of the main tools available for proving certain cases of the Hodge conjecture for abelian varieties is to compute the Hodge groups of the weight-1 Hodge structures associated to these abelian varieties. Thus Hodge groups of abelian varieties have been extensively investigated. In this talk, we discuss generalizing these results about Hodge groups to arbitrary-weight Hodge structures with Hodge numbers (n,0,…,0,n), particularly when n is prime or twice a prime. These generalizations yield some new results about Hodge classes of 2p-dimensional abelian varieties.

Additional Information: Algebraic Geometry

Open to: General Public
Admission: Free
Sponsor: Mathematics

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