## Columbia Mathematics Department Colloquium

*Splines, partition functions, index and infinitesimal*

index

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".