seminar on derived categories
Every two weeks on Monday mornings, we will meet at Imperial to discuss topics in derived categories. You can subscribe to the calendar here:
3 February 2025, 11-12, Huxley 411
Speaker: Sasha Novik
Title: Introduction to exceptional collections and King's conjecture
17 February 2025, 11-12, Huxley 411
Speaker: Ines Chung-Halpern
Title: Introduction to VGIT and the secondary fan
10 March 2025, 11-12, Huxley 6M42
Speaker: Calum Crossley
Title: Quivers and Koszul duality
Abstract: The standard approach to prove an equivalence of derived categories when you don't have a "high-minded" construction of functors between them, e.g. in homological mirror symmetry, is to take generating objects, compute the endomorphism algebras, and hope that they match. In this talk I want to explain why the endomorphsim algebra of a generator determines the whole category, and to explain how quivers make all these computations easy and intuitive. Various algebraic gadgets are involved: the Yoneda embedding, tensor-hom adjunction, Morita theory, Koszul duality, Freyd-Mitchell embedding.
28 March 2025, 2-3, Huxley 658
Speaker: Anibal Aravena Lopez
Title: Windows categories and derived categories of GIT quotients