Tokyo-Nagoya Algebra Seminar

Seminar information archive ~04/28Next seminarFuture seminars 04/29~

Organizer(s) Noriyuki Abe, Aaron Chan, Osamu Iyama, Yasuaki Gyoda, Hiroyuki Nakaoka, Ryo Takahashi

2023/04/28

13:00-14:30   Online
Please see the reference URL for details on the online seminar.
Takumi Otani (Osaka Univeristy)
Full exceptional collections associated with Bridgeland stability conditions (Japanese)
[ Abstract ]
The space of Bridgeland stability conditions on a triangulated category is important in mirror symmetry and many people develop various techniques to study it. In order to study the homotopy type of the space of stability conditions, Macri studied stability conditions associated with full exceptional collections. Based on his work, Dimitrov-Katzarkov introduced the notion of a full σ-exceptional collection for a stability condition σ.

In this talk, I will explain the relationship between full exceptional collections and stability conditions and some properties. I will also talk about the existence of full σ-exceptional collections for the derived category of an acyclic quiver.
[ Reference URL ]
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html