Lunedì 20 Ottobre 2025, dalle ore 14:00 in Aula 5017 (Edificio U2 - 5° Piano), Simone Gallivanone (Università degli Studi di Milano-Bicocca) terrà il seguente intervento
Titolo: Equivariant Asymptotics of Szegő and Poisson-wave Kernels on a Grauert Tube Boundary
Abstract: Let $(M,\kappa)$ be a compact and connected real-analytic Riemannian manifold, endowed with an isometric action of a compact and connected Lie group $G$. I will present results on the equivariant scaling asymptotics of geometrically natural operators along a fixed Grauert tube boundary $X^\tau$ of $(M,\kappa)$, in connection with the homogeneous geodesic flow and with the complexified Laplacian eigenfunctions. The analysis focuses on two settings: first, when the lifted $G$-action on the open Grauert tube is locally free on the zero locus of the moment map inside $X^\tau$; and second, when the base manifold $M$ is a Lie group endowed with a bi-invariant metric, acting on itself by left translations. I will also illustrate a few sample applications. The talk is based on joint work with R. Paoletti.
Tutti gli interessati sono invitati a partecipare
Per maggiori informazioni, visita il sito