Room 515, Cosmology Building, National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Cisco WebEx)
On the D-equivalence Conjecture for Hyper-Kähler Varieties
Ruxuan Zhang (Fudan University)
Abstract
The D-equivalence conjecture predicts that birational Calabi–Yau varieties have equivalent bounded derived category of coherent sheaves. We proved that this conjecture holds for any hyper-Kähler varieties of K3[n]-type. The proof relies on Markman’s projectively hyperholomorphic bundles, which are constructed from BKR equivalences.
Firstly, I will talk about some basic facts about hyperholomorphic bundles and periods of hyper-Kähler varieties. Then I will explain our proof of the D-equivalence conjecture.
This is a joint work with Davesh Maulik, Junliang Shen and Qizhen Yin.
Organizer: Hsueh-Yung Lin (NTU)
