Columbia Mathematics Department Colloquium
Splines, partition functions, index and infinitesimal
index
by
Claudio Procesi
La Sapienza, Rome
Abstract:
I will explain how certain theorems of Dahmen--Micchelli on
splines and partition functions can be interpreted in the theory of the
index of transversally elliptic operators. I will then show how ideas of
approximation theory fit into the relation between equivariant K-theory
and equivariant cohomology, using a new tool developed
with De Concini, Vergne called the "infinitesimal index".