Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Collection Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Organizer(s) Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov
Date(s) 05/07/2021 - 16/07/2021
linked URL https://indico.math.cnrs.fr/event/5382/
00:00:00 / 00:00:00
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Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class

By Dimitri Zvonkine

We call generalized Airy functions particular solutions of the differential equations f(n)(x)=xaf(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.

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