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Title:
Super-Teichmueller spaces: coordinates and applications
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Abstract:
The Teichmüller space parametrizes Riemann surfaces of fixed topological type and is fundamental in various mathematics and physics contexts. It can be defined as a component of the moduli space of flat G=PSL(2,R) connections on the surface. Higher Teichmüller space extends these notions to appropriate higher rank classical Lie groups G, and N=1 super Teichmüller space likewise studies the extension to the super Lie group G=OSp(1|2). In this talk, I will review the solution to the problem of producing Penner-type coordinates on super-Teichmüller space and its higher analogs. I will also talk about some applications of these coordinates.
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