学术活动

Realisation Functors in Tilting Theory, Part I: Derived Equivalences

作者:   来源:  时间:2015-09-15

  题目:Realisation Functors in Tilting Theory, Part I: Derived Equivalences

  报告人: Dr. Chrysostomos Psaroudakis(Norway University of Scinces and Technology,Tronheim, Norway)

  摘要: Let T be a triangulated category and H the heart of a t-structure in T. In this setting it is natural to ask what is the relation of T with the boundedderived category of the abelian category H. Under some assumptions on T and the t-structure, Beilinson-Bernstein-Deligne [BBD] constructed a functor between these two triangulated categories, called the realisation functor. The key idea in [BBD] for constructing this functor was the use of the so-called filtered derived category. The first part of this talk is devoted to recall the more general construction of the realisation functor(s) due to Beilinson. Then the main aim is toshow howto obtain derived equivalences between abelian categories from not necessarily compact tilting and cotilting objects. The key ingredients ofthis resultare the realisation functor and a notion of (co)tilting objects in triangulated categories that we introduce. As a particular case we explain how derived equivalences between Grothendieck categories can be realised as cotilting equivalences. This is joint work with Jorge Vitoria. 

  时间:9月15日(周二)下午14:00-15:30

  地点:首都师大北二区教学楼 132 教室

  欢迎全体师生积极参加!