# Mathematical Sciences Research Institute

Home » DMS Postdoc Seminar: Degeneration of complex projective structures on surfaces that converges in the character variety

# Seminar

DMS Postdoc Seminar: Degeneration of complex projective structures on surfaces that converges in the character variety March 13, 2015 (10:45 AM PDT - 11:30 AM PDT)
Parent Program: Dynamics on Moduli Spaces of Geometric Structures MSRI: Baker Board Room
Speaker(s) Shinpei Baba (Ruprecht-Karls-Universität Heidelberg)
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Abstract/Media

A complex projective structure is a geometric structure on a surface modeled on the Riemann sphere. Then a complex projective structure has a holonomy representation from the fundamental group of the surface into PSL(2, C), which is not necessarily discrete.

We discuss about neck-pinching'’ type degeneration of complex projective structures when their holonomy representations converge in the character variety.