5–16 juil. 2021
IHES
Fuseau horaire Europe/Paris

Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class

12 juil. 2021, 15:00
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Prof. Dimitri ZVONKINE (Laboratoire Mathématiques de Versailles)

Description

We call generalized Airy functions particular solutions of the differential equations $f^{(n)}(x) = x^a f(x)$. We show that asymptotic expansions of generalized Airy functions contain coefficients of Givental's R-matrices both for Gromov-Witten invariants of projective spaces and for Witten's r-spin classes. Joint work with Sybille Rosset.

Documents de présentation