Monday 20 October 2025, from 2 pm in Room 5017 (U2 Building - 5th Floor), Simone Gallivanone (University of Milano-Bicocca) will give the following talk
Title: 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.
All interested are invited to participate
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