|Speaker:||Timothy Logvinenko (Cardiff U)|
|Date (JST):||Tue, Jan 19, 2016, 15:30 - 17:00|
|Place:||Seminar Room B|
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.