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Neck-pinching of CP^1-structures and convergence in the PSL(2, C)-character variety.
Jeudi, 31 Mars, 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
