Spaces of norms, geometric invariant theory and Kstability
Spaces of norms, geometric invariant theory and Kstability

Sebastien Boucksom, CNRSCMLS, Ecole Polytechnique
Online Talk
*Please note the change in time*
The space of Hermitian norms on a given complex vector space is a fundamental example of Riemannian symmetric space, whose geometry can be explicitly analyzed in terms of basic algebra; this includes its cone at infinity, which can be realized as a space of nonArchimedean norms. Such spaces, and convex functions thereon, naturally arise in the context of Mumford's geometric invariant theory, and the more recent algebrogeometric notion of Kstability.
The purpose of this talk is to provide an elementary introduction to this circle of ideas, hinting at more recent developments related to the YauTianDonaldson conjecture.