活动地点：CMS 203

活动类型：学术报告

主讲人：

活动时间：2016-05-17 10:00:00--2016-05-19 17:00:00

活动内容：

     Center of Mathematical Sciences

          Zhejiang University

 

Lectures on Mathematics

Speaker：Professor Kyungyong Lee(University of Nebraska-Lincoln,USA)

Title:　Maximal green sequences and upper cluster algebras, (I, II)

Abstract:  Cluster algebras have become an important object in many areas of mathematics and mathematical physics. A cluster algebra is constructed from quiver mutations. A maximal green sequence is a certain sequence of quiver mutations given by a sequence of vertices of the quiver.  

The existence of a maximal green sequence for a quiver seems to be related to whether the cluster algebra A it generates is equal to its upper cluster algebra U. Gross, Hacking, Keel and Kontsevich showed that if A = U and a maximal green sequence exists, then the Fock-Goncharov canonical basis conjecture holds. In my lectures, I'll discuss the property of A=U and the existence of maximal green sequences. Also some related properties including positivity will be mentioned.

Times：(I) 10:00-11:30am, May 17, 2016 (Tuesday)

      (II) 15:30-17:00pm, May 19, 2016 (Thursday)

 

Place：The Room 203# of the CMS Building,

 Zhejiang University (Yuquan Campus)