报告题目： Quantum symmetry in non-commutative projective algebraic geometry
报告人：汪兴庭 博士，天普大学
时间：6月21日下午15:00-16:00
地点：管理科研楼1518
摘要：I will introduce the concept of non-commutative automorphism groups associated to any non-commutative projective space due to Manin. Indeed, these automorphism groups are universal quantum groups coacting on the corresponding coordinate rings.

Recently, Raedschelders and van den Bergh has shown that the representation category of these universal quantum groups is quasi-hereditary when the coordinate rings are Koszul Artin-Schelter regular.  I will discuss the joint work of Chelsea and Chirvasitu on how to associate these universal quantum groups with superpotential algebras and construct their finite presentations. When it turns to Sklyanin algebras, many questions concerning ring-theoretic and homological properties are wide open.

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