Canonical metrics on reflexive sheaves

[Math. Dept.]

April 30, 2019  10:00-10:50

W303  School of Mathematics

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SPEAKER

李嘉禹(中国科学技术大学)

ABSTRACT

We will first recall the stability of vector bundles and Donaldson-Uhlenbeck-Yau theorem. Then we will talk about Bando-Siu’s generalization of the DUY theorem to reflexive sheaves, i.e. the existence of canonical metrics on reflexive sheaves. Finally we prove the Bando-Siu conjecture which are joint work with Xi Zhang and Chuanjing Zhang.

SUPPORTED BY

Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University