学术报告(Linhui Shen 8.4)

发布人:周妍 发布日期:2018-08-22
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学术报告(Linhui Shen  8.4

 

题目: Grassmannian and Cyclic Sieving (by L. Shen)

主讲人:Linhui Shen 助理教授密歇根州立大学

时间:201884上午10:40-11:40

地点:新数学楼 415

 

摘要:

The Grassmannian Gr(k,n) parametrizes k-dimensional subspaces in C^n. Due to work of Scott, its homogenous coordinate ring C[Gr(k,n)] is a cluster algebra of geometric type. We introduce a periodic configuration space X(k,n) equipped with a natural potential function W. We prove that the topicalization of (X(k,n), W) canonically parametrizes a linear basis of C[Gr(k,n)], as expected by the Duality Conjecture of Fock-Goncharov. We identify the tropical set of (X(k,n), W) with the set of plane partitions. As an application, we show a cyclic sieving phenomenon involving the latter. This is joint work with Daping Weng.

 

 

数学学院

2018822