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Shinpei Baba

Neck-pinching of CP^1-structures and convergence in the PSL(2, C)-character variety.
星期四, 31 三月, 2016 - 14:00
Résumé : 

A CP^1-structure on a surface is a certain locally homogeneous structure, and it can be regarded as a pair of a Riemann structure on the surface  and a holomorphic quadratic differential. A CP^1-structure also corresponds to a representation of the fundament group of the surface into PSL(2, C). 

 
In this talk, we consider a  one-parameter family of diverging CP^1-structures on a closed surface, and we describe its limit under the assumption that the Riemann surface structures are pinched along disjoint loops and the representations converge in the PSL(2, C)-character variety.
Institution de l'orateur : 
Heidelberg
Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
Salle 4
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