Type: Seminar

Distribution: World

Expiry: 26 Sep 2012

Auth: zhangou@bari.maths.usyd.edu.au

Speaker: Dr. Anna Marie Bohmann (Northwestern) http://math.northwestern.edu/~bohmann/ Time: Tuesday, Sept. 4, 12NOON--1PM Room: Carslaw 707A Lunch: after the talk (at Taste at Sydney Uni, i.e. "Law School Annex Cafe") --------------------------------------------------- Title: The Equivariant Generating Hypothesis Abstract: Freyd’s generating hypothesis is a long-standing conjecture in stable homotopy theory. The conjecture says that if a stable map between finite CW-complexes induces the zero map on stable homotopy groups, then it must actually be stably nullhomotopic. We formulate the appropriate version of this conjecture in the equivariant setting, beginning with a brief discussion of equivariant homotopy groups. We then give some results about this equivariant version and compare them to the nonequivariant results. In particular, we show that the rational version of this conjecture holds when the group of equivariance is finite, but fails when the group is S^1. --------------------------------------------------- Web site for Geometry Seminar is at: http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html