GTA Seminar: Bohmann -- The Equivariant Generating Hypothesis

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")

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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.

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Web site for Geometry Seminar is at: 

http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html