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Tokyo-Nagoya Algebra Seminar
Seminar information archive ～10/28｜Next seminar｜Future seminars 10/29～
| Organizer(s) | Noriyuki Abe, Aaron Chan, Osamu Iyama, Yasuaki Gyoda, Hiroyuki Nakaoka, Ryo Takahashi |
|---|
2026/10/29
16:30-18:00 Online
Esther Banaian (Paderborn University)
A cluster character map for the derived category of a gentle algebra (English)
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
Esther Banaian (Paderborn University)
A cluster character map for the derived category of a gentle algebra (English)
[ Abstract ]
Caldero and Chapoton described a function which sends representations of an ADE quiver to elements of the associated cluster algebra. This transformative work paved the way for many more interesting studies, and in particular this CC map has been generalized to a variety of settings. We propose a CC map for the derived category of a gentle algebra. A main feature of our definition is how it interacts with the geometric model of the derived category, and a key property is that our CC functions respect skein relations from (graded) intersections of curves. This is based on ongoing joint work with Azzurra Ciliberti, Ilaria Di Dedda, Khrystyna Serhiyenko, Yadira Valdivieso-Diaz and Kayla Wright.
Zoom ID 975 9621 1188
Password 208284
[ Reference URL ]Caldero and Chapoton described a function which sends representations of an ADE quiver to elements of the associated cluster algebra. This transformative work paved the way for many more interesting studies, and in particular this CC map has been generalized to a variety of settings. We propose a CC map for the derived category of a gentle algebra. A main feature of our definition is how it interacts with the geometric model of the derived category, and a key property is that our CC functions respect skein relations from (graded) intersections of curves. This is based on ongoing joint work with Azzurra Ciliberti, Ilaria Di Dedda, Khrystyna Serhiyenko, Yadira Valdivieso-Diaz and Kayla Wright.
Zoom ID 975 9621 1188
Password 208284
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
