Chenxi Yin (UQAM)
Title: Valuative invariants for spherical varieties and applications to K-stability
Abstract: The Yau-Tian-Donaldson conjecture aims to establish a connection between the existence of canonical metrics, such as Kähler-Einstein metrics and constant scalar curvature Kähler metrics, and stability conditions in algebraic geometry. In this talk, we will discuss the alpha invariant and the delta invariant, two crucial valuative invariants relevant to the Yau-Tian-Donaldson conjecture. We will provide formulas of these invariants for ample line bundles on spherical varieties, a class of varieties known for their large symmetry. Subsequently, we will explore applications of these formulas
to K(Ding-)stability problems.
Location: in person at UQAM PK-5675
or online at Zoom meeting 86352363947