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吴文俊数学重点实验室代数学系列报告之八十八【汪兴庭】

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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