Event Type:

Department Colloquium

Date/Time:

Tuesday, June 6, 2006 - 08:00

Location:

Kidd 364

Guest Speaker:

Institution:

U. of Portland

Abstract:

The Mapping Class Group M_g of a smooth, compact, topological surface X of genus g can loosely be described as the group of all continuous bijections from X to itself. With applications ranging over different areas of mathematics such as Teichmueller theory, knot theory and complex algebraic geometry, knowledge of the structure of this group is important to many mathematicians. In this talk, we shall consider the problem of classifying the finite subgroups of M_g and the how such a classification will yield insight into an overall understanding of the structure of M_g. We shall also consider the implications of such a classification in other areas of mathematics.