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The Picard-Lefschetz formula for normal crossings

January 13, 2023 at 13:3015:00 CET

Moritz Kerz (Universität Regensburg)

Abstract: In the study of semi-stable degeneration of Lefschetz pencils one is led to a generalization of the classical Picard-Lefschetz formula for certain perverse sheaves on normal crossing spaces. In the talk I will recall the formalism of nearby cycle and vanishing cycle functors and I will explain how Hodge theory allows one to obtain the normal crossing Picard-Lefschetz formula. Joint work with A. Beilinson and H. Esnault.

Details

Date:
January 13, 2023
Time:
13:30 – 15:00 CET

Organizer

Christian Dahlhausen
Email
cdahlhausen@mathi.uni-heidelberg.de

Venue

Heidelberg, Mathematikon, SR A and Livestream