Speaker: Prof. Yun Shi (Missouri State University)

Title: Stability of tangent bundle on Del Pezzo surfaces

Time: 10:30-11:30 July 30, 2026 (Thursday)

Place: MCM410

Abstract: Donaldson and Uhlenbeck-Yau established the classical result that on a compact Kahler 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.