BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

P-functors Logvinenko, Timothy


\(P^n\) 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, based on work in progress with Rina Anno, 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, inspired by a construction of Ed Segal

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International