Friday, October 26, 2018
3:00 PM - 4:00 PM
Linde Hall 255

Analysis Seminar

Holomorphic retracts of Teichmuller space
Dmitri Gekhtman, Department of Mathematics, Caltech,
The Teichmuller space of a closed surface carries a natural complex structure, whose analytic properties reflect the topology and geometry of the surface. In this talk, we discuss the problem of classifying the holomorphic retracts of Teichmuller space. Our approach hinges on the analysis of two dynamical flows - one in the moduli space of half-translation surfaces, and the other in the space of bounded holomorphic functions on the polydisk.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.