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Joseph Spivey! : Mapping Class Groups and Moduli Spaces
There are many different ways to make a compact 2-manifold of genus g into a Riemann surface. In fact, there is an entire space of dimension 3g-3 (when g>1) of possible holomorphic structures. This space is called the moduli space of Riemann surfaces of genus g. We will give a definition of moduli spaces and briefly talk about their construction, starting with the "easy" examples of g=0 and g=1. We will also talk about mapping class groups, which play an important part in the construction of moduli spaces.
- Category: Graduate/Faculty Seminar
- Duration: 01:34:27
- Date: February 8, 2008 at 4:25 PM
- Views: 194
- Tags: seminar, Graduate/faculty Seminar
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