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DTSTAMP:20200227T180000Z
UID:1582738893767@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20200227T180000Z
DTEND:20200227T190000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Seminar in Cluster algebras\n
 Speaker: Nick Ovenhouse, 
 U of Minnesota\n
 Title: Laurent Expansion 
 Formulas for Configurations of Flags\n
 Date: 
 02/27/2020\n
 Time: 1:00 PM - 2:00 PM\n
 Place: 
 C204A Wells Hall\n
 A cluster algebra can be 
 associated to a polygon, where clusters correspond 
 to triangulations of the polygon. These 
 clusters give coordinates on the Grassmannian 
 Gr(2,n). Schiffler gave explicit expressions 
 for the cluster variables as Laurent polynomials, 
 with the terms indexed by combinatorial 
 objects called "T-paths". Fock and Goncharov 
 defined a cluster algebra structure for the 
 configuration space of tuples of flags in a 
 3-dimensional vector space, which generalizes 
 the one given by triangulated polygons. In joint 
 work with Andrew Claussen, we describe a 
 suitable generalization of Schiffler's T-paths 
 to this case, and show that the Laurent expansions 
 of cluster variables are indexed by 
 these generalized T-paths.\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:C204A Wells Hall
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