Arrangements and beyond: Combinatorics, geometry, topology and applications
timetable:
Wed 7 Jun, 9:50 - 10:30, Aula Dini
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Absolute sets and the Decomposition Theorem
speaker: Nero Budur (KU Leuven)abstract: Cohomology jump loci of rank one local systems for complements of hyperplane arrangements are of a very special nature. Later, it was discovered that the special properties hold for all smooth quasi-projective varieties. In this talk we report on a new finding: replace "cohomology" by any other naturally-defined functor, and the corresponding jump loci for rank one local systems satisfy the same special properties. For higher ranks, we end up with a conjecture of Andrè-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.
timetable:
Wed 7 Jun, 9:50 - 10:30, Aula Dini
<< Go back