| Speaker: | Timothy Logvinenko (Cardiff U) |
|---|---|
| Title: | P-functors |
| Date (JST): | Tue, Jan 19, 2016, 15:30 - 17:00 |
| Place: | Seminar Room B |
| Abstract: |
P^n objects are a class of objects in derived categories of algebraic varieties first studied by Huybrechts and Thomas. They were shown to give rise to derived autoequivalences in a similar fashion to Seidel-Thomas spherical objects. It was also shown that they could sometimes be produced out of spherical objects by taking a hyperplane section of the ambient variety. In this talk, we'll first recall the basics on spherical and P^n objects, and then explain how to generalise the latter to the notion of P-functors between (enhanced) triangulated categories. We'll also discuss a closely related notion of a non-commutative line bundle over such category. This is based on work in progress with Rina Anno and Ciaran Meachan. |
