Geometry and Topology Seminar
Building 15, Room 104
Homomorphisms of pure mapping class groups to the integers
Nicholas Vlamis,
Mathematics Department,
University of Michigan,
A classical theorem of Powell (with roots in the work of Mumford and Birman) states that the pure mapping class group of a connected, orientable, finite-type surface of genus at least 3 is perfect, that is, it has trivial abelianization. We will discuss how this fails for infinite-genus surfaces and give a complete characterization of all homomorphisms from pure mapping class groups of infinite-genus surfaces to the integers. This is joint work with Javier Aramayona and Priyam Patel.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].
Event Series
Geometry and Topology Seminar Series
Event Sponsors