Seminar| Institute of Mathematical Sciences
Time: Tuesday, July 21th, 2026,15:00-16:00
Location: IMS RS507
Speaker:Shi Yun, Missouri State University
Abstract: Donaldson and Uhlenbeck-Yau established the classical result that on a compact Kähler manifold, an irreducible holomorphic vector bundle admits a Hermitian metric solving the Hermitian-Yang-Mills equation if and only if the vector bundle is Mumford-Takemoto stable. Motivated by a modern analogue of this result, we study the stability of certain higher-rank objects in Bridgeland stability conditions. In this talk, I will present results on the stability of tangent bundle on Del Pezzo surfaces. This is based on joint work in progress with Tristan Collins, Jason Lo, and Shing-Tung Yau.