Smashing subcategories generated by partial silting objects

Speaker:  Frederik Marks - Universität Stuttgart
  Thursday, May 17, 2018 at 4:30 PM
Silting objects in triangulated categories were introduced by Aihara-Iyama to complete tilting theory from the viewpoint of mutation. For this purpose, silting objects are usually asked to be compact. In recent years, several authors started studying also large silting objects showing that such objects are useful to parametrise certain torsion pairs. 

In this talk, we will focus on partial silting objects in any triangulated category with coproducts and study the torsion pairs associated with them. Moreover, we will show that in many reasonably nice triangulated categories every compactly generated smashing subcategory is generated by such a partial silting object. 

This talk is based on ongoing joint work with Lidia Angeleri Hügel and Jorge Vitória.

Programme Director
Lidia Angeleri

External reference
Publication date
May 19, 2018

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