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Back to Departmental Colloquium: Fall 2000

Departmental Colloquium


Date: Thursday, Dec 7, 2000

Time: 4:15PM

Location: JWB 335


Lev A. Borisov

Columbia

Title

Toric varieties and modular forms

Abstract

Toric varieties are special algebraic varieties defined by some combinatorial data. It turns out that these data also define certain modular forms on the upper half plane, which we call toric forms. Linear span of toric forms has non-trivial number-theoretic properties, related to the conjecture of Birch and Swinnerton-Dyer.

Number Theory Algebraic Geometry Combinatorics

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