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4:00 pm Monday, November 6, 2017 Topology Seminar: Arithmetic topology.
by Ted Chinburg (University of Pennsylvania) in HBH 227

Arithmetic topology has its origins in an analogy between rings of integers and three dimensional manifolds which goes back to Barry Mazur in the 1960's. In this talk I will discuss some recent developments in the subject. One has to do with an arithmetic version of Chern Simons theory suggested by Minhyong Kim. Another has to do with the application of Massey triple products to Iwasawa theory. These analogies are a two way street. Results in number theory or about three manifolds suggest new questions about the other of the two subjects.