Algebra seminar - Ben Briggs
| Dates: | 5 November 2024 |
|---|
| Times: | 14:00 - 15:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Current University students |
|---|
| Speaker: | Ben Briggs |
|---|
|
Title: Koszul duality for (seemingly) non-Koszul rings
Abstract: This is a talk about a relative version of Koszul duality, and how it can tell us about the homological algebra of (seemingly) non-Koszul local rings. It’s all joint work with James Cameron, Janina Letz, and Josh Pollitz.
I'll start by reminding everyone how classical Koszul duality works (at least some parts of it). Then I'll talk about this relative definition: A homomorphism of commutative local rings is Koszul its derived fibre F is formal and the homology H(F) is a Koszul algebra in the classical sense. The goal is first to make sense of this, then to convince you that this is a good definition with interesting consequences, and that it actually happens all the time. If there’s time, I'll give some applications to the homological algebra of local rings, by taking the classical Koszul resolutions written down by Priddy and generalising them with some A-infinity tricks.
Speaker
Ben Briggs
Organisation: Imperial College London
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
