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Minor Oral - Classification Of Mumford-Tate Groups of a Given Period Domain

Ryan Keast, Department of Mathematics, Washington University in St. Louis

November 30, 2012 - 3:00 pm to 4:00 pm
Location: Cupples I, Room 6 | Host: Prof. Matthew Kerr

Abstract: Hodge structures and Mumford-Tate groups lie in a rich intersection of algebraic geometry, representation theory, and arithmetic theory. A period domain represents the various ways of decomposing a vector space into polarized Hodge structures with given Hodge numbers. Using CM fields and their categorical cousin CM Hodge structures, we can classify the MT groups that arise from a given period domain.

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