Title:Categorical pseudo-Anosov maps on triangulated categories
Speaker:范祐维 博士
Affiliation:加州大学伯克利分校
Time:2019年12月27日,下午14:00-15:00
Venue:四牌楼校区逸夫建筑馆1502
Inviter:王赐圣副研究员(103200059@seu.edu.cn)
Abstract:Motivated by results of Thurston, we prove that any autoequivalence on a triangulated category induces a canonical filtration by triangulated subcategories, provided the existence of Bridgeland stability conditions. We then propose a new definition of pseudo-Anosov autoequivalences, and prove that our definition is more general than the one previously proposed by Dimitrov-Haiden-Katzarkov-Kontsevich. We construct new examples of pseudo-Anosov autoequivalences on the derived categories of quintic Calabi-Yau threefolds and quiver Calabi-Yau categories. This is a joint work with Filip, Haiden, Katzarkov, and Liu.
报告人介绍:
范祐维,加州大学伯克利分校客座助理教授,其主要从事代数几何与镜对称相关研究。