Cluster algebra structures from decorated super-Teichmüller spaces
Speaker:
Sylvester Zhang, University of Minnesota, Twin Cities, Nicholas Ovenhouse, University of Minnesota
Date and Time:
Monday, March 21, 2022 - 10:30am to 10:55am
Location:
Fields Institute, Room 230
Abstract:
Penner’s λ-length coordinates in decorated Teichmüller spaces are known to be cluster algebras. In this talk, I will describe a super analogue of cluster algebra structure in decorated super-Teichmüller spaces of Penner and Zeitlin. In particular, we give two combinatorial formulas for super λ-lengths from a triangulated surface: one in terms of super T-path, and the other using double dimers on snake graphs. This is joint work with Nick Ovenhouse and Gregg Musiker.