The realization of Green's formula of finite dimensional hereditary algebras over finite fields
数学专题报告
报告题目(Title)：The realization of Green's formula of finite dimensional hereditary algebras over finite fields
报告人(Speaker)： 吴雨檬 （清华大学）
地点(Place)：后主楼1223
时间(Time)：2023年11月14日 15:00-15:50
邀请人(Inviter)：肖杰
报告摘要
The report will give a realization of Green's formula by using mixed sheaf complexes. We will not only restrict to hereditary algebras given by symmetric Cartan matrix, but consider every finite dimensional hereditary algebras over finite fields F_q. We construct the corresponding quiver Q with an automorphism a, and give the relation of Lusztig's functors in mixed sheaf complex categories with the automorphism functor a^*. Green's formula of any finite dimensional hereditary algebras over finite fields could be obtained by applying the trace map to this relation of sheaves. This work is joint with Fang and Lan.
