Quantum cluster variables via canonical submodules
数学专题报告
报告题目(Title)：Quantum cluster variables via canonical submodules
报告人(Speaker)：余玉童 博士 (清华大学数学科学系)
地点(Place)：后主楼1220
时间(Time)：2025年9月2日 （周二）14:30-16:30
邀请人(Inviter)：刘玉明
报告摘要
We investigate the structure of quantum cluster algebras arising from marked surfaces without punctures, using gentle algebras as a key tool in our analysis. We introduce a weight function on canonical submodules, which yields a Laurent expansion formula for arbitrary quantum cluster variables in terms of canonical submodules. As a byproduct, we obtain the positivity for this class of quantum cluster algebra.
