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  1. Topology and Dynamics
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  5. 2024

Geometric Group Theory

‟Mapping Class Groups of Surfaces with Noncompact Boundary” by Ryan Dickmann <rdickmann3@gatech.edu>, Ga Tech

Abstract:

We will talk about the widely unknown classification of general surfaces due to Brown and Messer. Then we will discuss how the classification was used to get general results about the mapping class groups of orientable surfaces. In particular, we classified the automatically continuous pure mapping class groups over all orientable surfaces.