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## Topological fixed point theory for homogeneous spaces
-- a brief survey

### Peter N. Wong

Bates College

###
Thursday, May 6, 2004

102 Bradley Hall, 4 pm

Tea 3:30 pm, Math Lounge

**Abstract: **
The celebrated Lefschetz-Hopf fixed point theorem asserts that if a
selfmap on a finite polyhedron has nonzero Lefschetz trace then
every map homotopic to the given map must have a fixed point. While
the converse does not hold in general, the vanishing of a more
subtle invariant, namely, the Nielsen number, is often sufficient to
guarantee that the given map is deformable to be fixed point
free. In this talk, I will survey the computation of the Nielsen
number of selfmaps on coset spaces of Lie groups.

This talk will be accessible to general faculty.