Dehn-Filling-Like Quotients of Mapping Class Groups

Explore the algebra and geometry of Dehn-filling-like quotients in mapping class groups through this 45-minute lecture by Alessandro Sisto. Delve into the concept of Dehn fillings in relatively hyperbolic groups and their application to mapping class groups. Examine how quotients by large powers of Dehn twists serve as analogues to Dehn fillings in this context. Gain insights into the construction of these quotients, inspired by Thurston's hyperbolic Dehn filling theorem, and their significance in understanding the structure of mapping class groups. This talk, part of the Workshop on Geometry of Subgroups at the Centre de recherches mathématiques, offers a deep dive into advanced topics in geometric group theory and topology.

Alessandro Sisto: Dehn-filling-like quotients of mapping class groups