Penn Arts & Sciences Logo

Geometry-Topology Seminar

Tuesday, October 22, 2019 - 4:30pm

Andres Mejia



University of Pennsylvania

DRL 4N30

After Andres' talk, if there is time, we will discuss slice theorems in finite and infinite-dimensional Lie groups.


Abstract: Several problems in discrete geometry admit striking solutions coming from equivariant topology.  We will unify some of these solutions through the Configuration-Space/Test Map (CS/TM) setup, thus reducing combinatorial or geometric facts to showing the nonexistence of certain G-equivariant maps.  We pay special attention to how generalizations of the traditional ham-sandwich theorem fit into this paradigm by leveraging the theory of characteristic classes.