2:00 pm Thursday, February 10, 2011
Algebra, Number Theory, and Combinatorics: Some open problems in transcendence arising in the study of Mumford-Tate domains by Paula Tretkoff (Texas A&M University ) in RLM 9.166
Green, Griffiths and Kerr recently made available a monograph on Mumford-Tate groups and domains for polarized Hodge structures of level n, with an emphasis on their geometry and arithmetic. We discuss some open problems in transcendence that naturally arise as generalizations of known results or questions for the level 1 case (i.e. abelian varieties, Shimura varieties). The notion of a general CM-Hodge structure is key to these questions, as it is to the proposed arithmetic theory, and should be of interest to the algebraists in the audience to whom it is not familiar. A minimum of background is assumed, and the talk should be accessible, at least in part, to graduate students. Submitted by
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