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Back to Algebraic Geometry Seminar: Fall 2009

Algebraic Geometry Seminar


Date: Tuesday, Sep 29, 2009

Time: 3:30PM - 4:30PM

Location: LCB 225


Jim Carlson

Clay Mathematics Institute

Title

Speculations on cubic surfaces: Hodge and Galois theory

Abstract

I will discuss work in progress with Domingo Toledo. (a) What can one say about the locus of cubic surfaces with periods certain number fields? (Periods to defined: not what you might think they are). (b) What can one say about their Galois representations? The main object of study is a certain natural l-adic representation whose image we hope to prove is large.

Algebraic Geometry

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