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Seminar
FIELD Mathematics
DATE April 24 (Mon), 2017
TIME 16:00-17:30
PLACE 8101
SPEAKER Nero Budur
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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