Speaker
Chris Grossack
(UC Riverside)
Description
(Locally) gentle algebras are a broad family of algebras whose representation theory is well understood (and computationally effective!), which makes them an excellent testing ground for new conjectures. In this expository talk we'll discuss the "geometric model" for (locally) gentle algebras, due to Haiden--Katzarkov--Kontsevich, Opper--Plamondon--Schroll, and Lekili--Polishchuk, and show how you can compute everything about the derived category by drawing curves on surfaces and counting intersection points. Given time, we'll discuss applications of this machinery to the speaker's thesis work, relating the HOMFLY skein relation in a surface to the Hall algebra of that surface's Fukaya category.
Author
Chris Grossack
(UC Riverside)