VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Masur-Veech Volumes of Quadratic Differentials, Witten-Kontsevich Correlators, and Integrable Systems
Di Yang (University of Science and Technology of China)
Wednesday 3rd November, 2021 13:30-14:30 Zoom seminar hosted by ICMS
Based on the Chen--Moeller--Sauvaget formula, we apply the theory of integrable systems
to derive Painleve-type equations for the generating series of the Masur--Veech (MV) volumes
associated with the principal strata of the moduli spaces of quadratic differentials, and propose
refinements of the conjectural formulas given by Delecroix et al. for the large genus asymptotics of
the MV volumes and of the associated area Siegel--Veech constants. If time permits, we also talk
about the formulae of Delecroix et al. for the MV volumes in terms of the Witten--Kontsevich
correlators. Then by using the the matrix-resolvent formulae derived by Bertola et. al. for the
generating series of Witten--Kontsevich correlators, we give a new proof of another conjecture
of Delecroix et. al. on the large genus asymptotics of the Witten--Kontsevich correlators, which
according to Aggarwal's work, implies Delecroix et al.'s conjectural formula for the MV volumes.
The talk is based on joint works with Jindong Guo, Don Zagier and Youjin Zhang.
For more information, and how to access the seminar through Zoom, see the webpage of the events here.