Speaker： Dr. Yoshinori Hashimoto

                        Tokyo Institute of Technology

Title:    Variational aspects of the Hermitian-Einstein metrics and the Quot-Scheme limit

       Time：03 Jan 2020, 14:00

Location：实验楼108

Abstract:   The Kobayashi-Hitchin correspondence, proved by Donaldson and Uhlenbeck-Yau by using the nonlinear PDE theory, states that the existence of Hermitian-Einstein metrics on a holomorphic vector bundle is equivalent to an algebro-geometric stability condition. We present some results that exhibit an explicit link between differential and algebraic geometry in the above correspondence, from a variational point of view. The key to such results is an object called the Quot-scheme limit of Fubini-Study metrics, which is used to evaluate certain algebraic 1-parameter subgroups of Hermitian metrics by using the theory of Quot-schemes in algebraic geometry. Joint work with Julien Keller.

 Speaker  Introduction：Prof. Hashimoto received his doctor’s degree from University College London, UK,. He was a Postdoc at Aix-Marseille Université, France in 2017-2018 and Postdoc in memory of Paolo de Bartolomeis, at University of Florence, Italy in 2018. He works actively in the field of canonical metrics on vector bundles and Kahler manifolds. His papers has been publishes in Math. Z., Asian J. Math., J. Math. Soc. Japan., etc.

 联系人：宋翀副教授