Room 505, Cosmology Building, National Taiwan University +Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館505研討室+Zoom)
Stability of the Cotangent Bundle on Some Surfaces
Jason Lo (California State University Northridge)
Abstract
In the 1980s, Donaldson and Uhlenbeck-Yau showed that on a smooth projective variety, the slope stability of a vector bundle is equivalent to the existence of solutions to the associated Hermitian-Yang-Mills equation. Recently, Collins and Yau asked whether a similar correspondence holds for line bundles, between Bridgeland stability conditions and the deformed Hermitian-Yang-Mills equation (or Leung-Yau-Zaslow equation). In this talk, I will report on progress on a similar question for the cotangent bundle on surfaces. This is joint work with Tristan Collins, Yun Shi, and Shing-Tung Yau.
