Jun 3 – 7, 2024
SISSA
Europe/Rome timezone

Resurgent large genus asymptotics of intersection numbers

Jun 3, 2024, 11:50 AM
50m
128 (SISSA)

128

SISSA

Via Bonomea 265, Trieste
Lecture

Speaker

Elba Garcia-Failde (Universitaire de Jussieu)

Description

I will present a new approach to the computation of the large
genus asymptotics of intersection numbers, in particular of
Witten—Kontsevich, Theta and r-spin intersection numbers. Our technique
is based on a resurgent analysis of the generating series of such
intersection numbers, and relies on the presence of a quantum curve and
the determinant formulae. With this approach, we are able to extend the
recent results of Aggarwal with the computation of subleading
corrections, solving a conjecture of Guo–Yang and initiating the
development of a universal technique to explore large order asymptotics
of enumerative problems that appear in the context of topological
recursion. Based on joint work with B. Eynard, A. Giacchetto, P. Gregori
and D. Lewański.

Primary author

Elba Garcia-Failde (Universitaire de Jussieu)

Presentation materials

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