Colloquium abstracts

Saurabh Trivedi

December 3, 2015

Flat currents on definable pseudomanifolds:  Over the last few years, O-minimal structure have emerged as a nice framework for studying geometry and topology of singular spaces. They originated in model theory and provide an axiomatic approach to characterize spaces with tame topology. In this talk, we consider flat currents on pseudomanifolds that are definable in polynomially bounded o-minimal structures. Flat currents induce cohomology restrictions on the pseudomanifolds and we will show that this cohomology is related to their intersection cohomology.