SAG: Stability of line bundles and vector bundles on some surfacesSeminar Algebraic Geometry (SAG)

by Yun Shi (Trinity College (US))

Thursday Dec 18, 2025, 10:30 AM → 12:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

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. A modern analog of this question was posted by Collins-Yau. In this talk, we will discuss partial answers to this modern analog for a set of line bundles and tangent/cotangent bundles on some surfaces. This is based on joint work/work in progress with Tristan Collins, Jason Lo, and Shing-Tung Yau.