東京名古屋代数セミナー

過去の記録 ~05/02次回の予定今後の予定 05/03~

担当者 阿部 紀行、Aaron Chan、伊山 修、行田 康晃、淺井 聡太、高橋 亮
セミナーURL http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html

2025年03月17日(月)

14:30-16:00   オンライン開催
Junyang Liu 氏 (University of Science and Technology of China)
On Amiot's conjecture (English)
[ 講演概要 ]
In 2010, Claire Amiot conjectured that algebraic 2-Calabi-Yau categories with cluster-tilting object must come from quivers with potential. This would extend a structure theorem obtained by Keller-Reiten in the case where the endomorphism algebra of the cluster-tilting object is hereditary. Many other classes of examples are also known. We will report on the proof of the conjecture in the general case for categories with *algebraic* 2-Calabi-Yau structure. This result has been obtained in joint work with Bernhard Keller and is based on Van den Bergh's structure theorem for complete Calabi-Yau algebras. We also generalize his structure theorem to the relative case and use it to prove a relative variant of the conjecture.

ミーティング ID: 853 1951 5047
パスコード: 900788
[ 講演参考URL ]
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html