Symplectic

Event Information Super-Teichmueller theory
14:10 on Monday September 26, 2016
15:00 on Monday September 26, 2016
BA6183, Bahen Center, 40 St. George St.
Anton M. Zeitlin

Columbia University

I will talk about the construction of Penner-like coordinates on the co-called N=1 and N=2 super-Teichmueller spaces for punctured Riemann surfaces. These are higher Teichmueller spaces for supergroups OSP(1|2) and OSP(2|2). I will discuss about all important ingredients such as a combinatorial approach to spin structures on Riemann surfaces, super-version of the Ptolemy transformations and the explicit formula for the analogue of the Weil-Petersson 2-form.