Time: 9:30 -- 11:00, April 10, 2024.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: Consider a $C^2$-definable map $f: mathbb{R}^nto mathbb{R}^k$. We aim to understand the behavior of the fibers of $f$ at infinity. In this talk, we present a proof that the density at infinity of fibers of $f$ is locally Lipschitz outside the set of asymptotic critical values. This is a joint work with Dinh Si Tiep.