[geometry-ml:05763] 馬場伸平氏の講演

[Takuro Mochizuki]

皆様

重複して受け取られた方はご容赦ください。

7月3日に京都大学数理解析研究所本館206号室において、
馬場伸平氏による講演が行われます。
タイトル、アブストラクト、日程等については下記をご覧ください。

ご参加をお待ちしています。

望月拓郎

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Speaker: Shinpei Baba (Osaka University)

Title: 
Intersection of holonomy varieties of complex projective structures on Riemann surfaces.

Date: July 3 (Wed), 10:00--12:00

Place: Room 206 RIMS

Abstract:
In this talk, we discuss the intersection of certain analytic Lagrangians in the PSL(2, C)-character variety of a surface group.

A holomorphic quadratic differential on a Riemann surface corresponds to a complex projective structure and also a PSL(2,C)-oper. Note that the set of holomorphic quadratic differentials on a Riemann surface from a complex vector space.

Then, by the holonomy map, this vector space properly maps onto an analytic Lagrangian subvariety of the space of representations of the surface group into PSL(2,C). Given two (marked) Riemann surface structures of the same topological type, we show that their corresponding Lagrangians intersect in a discrete set.

If time permits, applying this discreteness, we explain a new proof of Bers’ simultaneous uniformization.

https://www.kurims.kyoto-u.ac.jp/ja/seminar/seminar-takuro-wed.html