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DTSTAMP:20210210T200000Z
UID:1612881211473@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210210T200000Z
DTEND:20210210T205000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Combinatorics and Graph Theory\n
\n
Nicholas Ovenhouse,
University of Minnesota, will be speaking.\n
\n
The
presentation is titled "Laurent
Polynomials from the Super Ptolemy Relation."\n
\n
Contact
Bruce E Sagan (bsagan@msu.edu) for
more information.\n
\n
In classical geometry,
Ptolemy's theorem relates the lengths of the
sides of a quadrilateral to the lengths of the
diagonals. Fixing a triangulation of a polygon,
the length of any diagonal can be expressed
(using Ptolemy's theorem) as a Laurent polynomial
in the lengths of diagonals in the
triangulation. There is a combinatorial description
of the terms in this Laurent polynomial
due to Schiffler, in terms of "T-paths". Recently,
Penner and Zeitlin constructed a super-algebra
from a triangulation, and an analogue
of the Ptolemy relation in this situation.
I will describe a generalization of "T-paths"
which enumerate the terms in the corresponding
super Laurent polynomials. This is joint
work with Gregg Musiker and Sylvester Zhang.\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:Online via Zoom
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