Enhanced n-angulated categories

Abstract: These categories were introduced by Geiss, Keller, and Oppermann in order to encode the behaviour of n-cluster tilting subcategories of triangulated categories. In this talk I will define differential graded enhancements for these categories, analogous to those of Bondal and Kapranov for triangulated categories. I will present an existence and uniqueness theorem for n-angulated enhancements which holds, for instance, for the additivization of an n-cluster tilting object. As a corollary, I will deduce that a triangulated category with a (higher) cluster tilting object has a unique triangulated enhancement. This is joint work with Gustavo Jasso(Lund).

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: Meeting Link icms-org-uk.zoom.us/j/82901356928?pwd=NmNReXc5U1M0MUFScEVLMEtyaU56dz09 Meeting ID: 829 0135 6928 Passcode: LAGOON22

---

Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

Videos of the talks can be viewed here.

Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.

---