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2005:Interactions between Differential Geometry, Partial Differential Equations, and Algebraic Geometry |
Coordinator:
Ying-Ji Hong (NCKU)
Differential Geometry, Mathematical Physics, Algebraic Geometry
Tel: +886-6-2757575 Ext. 65141
Participants:
Topics:
This project will be devoted to the following two topics
We propose to study the topologies, the geometries of these moduli spaces and the dynamics of the mapping class group action on the Betti moduli space. For topology and geometry, we wish to identify the irreducible components of the Dolbeault moduli space for various structure groups. The mapping class group of a Riemann surface plays an important role in the study of three manifolds and mathematical physics. This group acts naturally on the Betti moduli space which we propose to study the measure and topological dynamics of this mapping class group action on the Betti moduli space.
國家理論科學研究中心(南區)數學組
地址:台南市東區大學路1號 國立成功大學成功校區 國家理論科學研究中心
電話:06-2757575 ext. 65010
傳真:06-2365845
Email:math@ncts.ncku.edu.tw
Copyright © 2009 Mathematics Division, National Center for Theoretical Sciences(South)