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Seminar
FIELD Mathematics
DATE April 24 (Mon), 2017
TIME 16:00-17:30
PLACE 8101
SPEAKER  
HOST Liao, Xia
INSTITUTE KU Leuven
TITLE Absolute sets and the Decomposition Theorem
ABSTRACT

The celebrated Monodromy Theorem states that the eigenvalues

of the monodromy of a polynomial are roots of unity. In this talk we

give on overview of recent results on local systems achieving a vast

generalization of the Monodromy Theorem. We end up with a conjecture

of Andre-Oort type for special loci of local systems. The conjecture

is true in rank one, and if true in general, it would provide a simple

proof in all generality of the DecompositionTheorem of

Beilinson-Bernstein-Deligne-Gabber. Joint work with Botong Wang.

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