1. 题目: A realization of the quantum linear supergroup

报告人：杜杰(Jie Du)教授

(University of New South Wales，Australia)

时间：2013年6月29日（周六）上午9:00-10:00
地点：浙江大学数学中心203

概要: We reconstruct the quantum enveloping superalgebra

$\bfU(\mathfrak{gl}_{m|n})$ over $\mathbb Q(v)$ via (finite dimensional) quantum Schur superalgebras. In particular, we obtain a new basis containing the standard generators for $\bfU(\mathfrak{gl}_{m|n})$ and explicit multiplication formulas of an arbitrary basis element by a generator.

2. 题目: Oriented cycles and global dimension of algebras.

报告人：刘石平(Shiping Liu)教授

(University of Sherbrooke, Canada)

时间：2013年6月29日（周六）上午10:10-11:10
地点：浙江大学数学中心203

概要: I will talk about on how to determine whether the global dimension

of an algebra is infinite or not in terms of the oriented cycles in the

ordinary quiver of this algebra. I am going to talk about the solution of the strong no loop conjecture. It is just our result is a little more than the solution of this conjecture.