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Mon, Mar 1, 2021

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Math Seminar Series  (Conferences / Seminars / Lectures)

Combinatorics and Graph Theory

Nicholas Ovenhouse, University of Minnesota, will be speaking.

The presentation is titled "Laurent Polynomials from the Super Ptolemy Relation."

Contact Bruce E Sagan ( for more information.

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.

more information...

Location: Online via Zoom [map]
Price: free
Sponsor: Department of Mathematics
Contact: Department of Mathematics
phone pic (517) 353-0844