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PRODID:-//Virginia Tech//VT Calendar//EN
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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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