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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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