Tuesday Seminar on Topology

Seminar information archive ~03/03Next seminarFuture seminars 03/04~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya


17:00-18:30   Room #大講義室 (Graduate School of Math. Sci. Bldg.)
Richard Hain (Duke University)
Johnson homomorphisms, stable and unstable (ENGLISH)
[ Abstract ]
In this talk I will recall how motivic structures (Hodge and/or Galois) on the relative completions of mapping class groups yield non-trivial information about Johnson homomorphisms. I will explain how these motivic structures can be pasted, and why I believe that the genus 1 case is of fundamental importance in studying the higher genus (stable) case.