14 juin 2024
Le Bois-Marie
Fuseau horaire Europe/Paris

Quantum Periods for Complements

14 juin 2024, 15:30
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres CS 40001 91893 Bures-sur-Yvette Cedex

Orateur

Maxim Kontsevich (IHES)

Description

A polynomial P in two variables defines a one-parameter family of spectral curves which are level sets of P, and the corresponding variation of Hodge structures on 1st cohomology groups of these curves. What happens if one quantizes the algebra of polynomials, i.e. deforms it to the Weyl algebra? I'll explain an approach based on second cohomology of complements to the level sets. In particular, one obtains a cohomological description of WKB series for Bohr-Sommerfeld quantization rules. This is joint work with A.Soibelman.

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