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Tokyo-Nagoya Algebra Seminar
Seminar information archive ～04/28｜Next seminar｜Future seminars 04/29～
| Organizer(s) | Noriyuki Abe, Aaron Chan, Osamu Iyama, Yasuaki Gyoda, Hiroyuki Nakaoka, Ryo Takahashi |
|---|
2023/12/14
10:30-12:00 Online
Xiaofa Chen (University of Science and Technology of China)
On exact dg categories (English)
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
Xiaofa Chen (University of Science and Technology of China)
On exact dg categories (English)
[ Abstract ]
In this talk, I will give an introduction to exact dg categories and then explore their application to various correspondences in representation theory. We will generalize the Auslander–Iyama correspondence, the Iyama–Solberg correspondence, and a correspondence considered in a paper by Iyama in 2005 to the setting of exact dg categories. The slogan is that solving correspondence-type problems becomes easier using dg categories, and interesting phenomena emerge when the dg category is concentrated in degree zero or is abelian.
[ Reference URL ]In this talk, I will give an introduction to exact dg categories and then explore their application to various correspondences in representation theory. We will generalize the Auslander–Iyama correspondence, the Iyama–Solberg correspondence, and a correspondence considered in a paper by Iyama in 2005 to the setting of exact dg categories. The slogan is that solving correspondence-type problems becomes easier using dg categories, and interesting phenomena emerge when the dg category is concentrated in degree zero or is abelian.
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
