MS Seminar (Mathematics - String Theory)

Speaker: Agnieszka Bodzenta (U of Warsaw)
Title: Highest weight categories and exact categories
Date (JST): Fri, Feb 01, 2019, 13:15 - 14:45
Place: Balcony A
Abstract: I will explain a new point of view on highest categories based on exact categories. For those I will develop a theory parallel to the theory well-known for triangulated categories; left and right admissible subcategories, and (semi-orthogonal) decompositions. In particular, I will introduce thin exact categories, i.e. exact categories with full exceptional collections. I will discuss left and right abelian envelopes of an exact category and will show that highest weight categories are precisely the abelian envelopes of thin exact categories. I will also discuss Ringel duality from this point of view.
Remarks: Blackboard talk