Seminar:
Analysis
Event time:
Thursday, January 23, 2025 - 4:00pm
Location:
KT 207
Speaker:
Tristan Leger
Speaker affiliation:
Yale
Event description:
In this talk I will discuss recent and upcoming results on the boundedness of spectral projectors. The seminal work of C. Sogge gives the optimal result on any Riemannian manifold with bounded geometry for spectral windows of size 1. However, when the width is smaller, the bounds become sensitive to the global geometry of the underlying manifold. I will focus on the case of hyperbolic surfaces of infinite area, and present new estimates that hold universally in that setting. This is based on joint and upcoming work with Jean-Philippe Anker and Pierre Germain.
Research Area(s):
The Analysis & PDE