曹锡华代数论坛（校级报告）
演讲人：邓邦明教授，北京师范大学数学学院教授、教育部优秀青年教师奖学者
题目：Representations of quivers, Ringel-Hall algebras, and quantum groups
地点：理科大楼A 1414室
2月23日下午3：00----4：00
第一讲: We introduce the notion of representations of a quiver and present Gabriel's theorem, as well as Kac's theorem. We also define Frobenius twists of representations of a quiver with automorphism.
2月23日下午4：10---5：10
第二讲: We define Ringel-Hall algebra of a finite dimensional hereditary algebra and show by an example that Ringel-Hall algebras satisfy the quantum Serre relations. Theorems of Ringel and Green which establish the isomorphism of Ringel-Hall algebras and the corresponding quantized enveloping algebras will be stated.
2月24日上午10：00---11：00
第三讲: We focus on Ringel-Hall algebra of a cyclic quiver. Using the homological properties of nilpotent representations of a cyclic quiver, we study bases (including monomial, PBW, and the canonical bases) of quantum affine sl_n.

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