Perverse schobers for exceptional collections IIIOberseminar Darstellungstheorie

by Merlin Christ (University of Bonn)

Wednesday Jan 14, 2026, 10:15 AM → 12:00 PM Europe/Berlin

N0-007 (Mathezentrum)

This is the third talk on the topic of full exceptional collections in k-linear stable infinity-categories and perverse schobers. In this talk, we will show that every proper k-linear stable infinity-category with a full exceptional collection arises as the global sections of a perverse schober parametrized by a linear graph. For this, we will pass through an infinity-categorical version of Seidel's directed category construction and a version of Calabi-Yau completion. The original exceptional collection will correspond to the collection of standard objects constructed via induction in talk 2.
Finally, we will introduce a duality for perverse schobers on the once-marked disc, that maps standard objects to costandard objects.