Seminario del 2017

Maggio
02
2017
Gabriele Mondello
On the topology of the representation variety of a punctured surface group in PSL(2,R)
algebra e geometria
Goldman classified the connected components of the representation variety of a closed surface group in PSL(2,R) and Hitchin described the topology of the components with nonzero Euler number. In this talk I will describe how to perform a similar analysis for surfaces with punctures, thus detecting the topology of the representation variety in PSL(2,R) with assigned peripheral monodromy and nonzero Euler number. We follow Hitchin's strategy and we exploit Simpson's correspondence between representations of punctured surface groups and parabolic Higgs bundles.
organizzato da: Luca Migliorini
nell'ambito del Progetto C_ECO_MIGLIORINI del prof. Luca Migliorini

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