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2006:Interactions between Differential Geometry, Partial Differential Equations, and Algebraic Geometry |
Coordinator:
Eugene Xia (NCKU)
Algebraic Geometry
Tel: +886-6-2757575 Ext. 65159
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.
Mathematics Division, National Center for Theoretical Sciences(South)
Address:No.1, University Road, Tainan City 701, Taiwan (R.O.C.)
Tel:886-6-2757575 ext. 65081
Fax:886-6-2365845
Email:math@ncts.ncku.edu.tw
Copyright © 2009 Mathematics Division, National Center for Theoretical Sciences(South)