Hadwiger and Lefschetz: Valuations on Simplicial Maps

Tuesday, December 3, 2013 - 1:30pm - 2:30pm
Lind 305
Matthew Wright (University of Minnesota, Twin Cities)
The intrinsic volumes generalize both Euler characteristic and volume, quantifying the size of a set in various ways.
Hadwiger's Theorem says that any consistent notion of size for sets is a linear combination of the intrinsic volumes.
In topological fixed-point theory, the Lefschetz number is a generalization of Euler characteristic to self-maps of simplicial complexes.
It is possible to obtain analogues of the intrinsic volumes, called Lefschetz volumes, in the setting of simplicial self-maps.
This talk will introduce Lefschetz volumes and present a recent version of Hadwiger's Theorem for simplicial self-maps.