AAG Seminar: The perverse filtration via Brylinski-Radon transform

Speaker: Shuddhodan Vasudevan, Institut des Hautes Études Scientifiques

Abstract: In 2010, de Cataldo-Miglorini showed how to compute the perverse filtration on the cohomology of an affine variety with values in a constructible sheaf using generic flags.

In this talk, I shall introduce the Brylinski-Radon transformation, discuss its properties and derive consequences for the perverse filtration. Time permitting we shall also discuss some arithmetic applications of our results. This is joint work with Ankit Rai.

Hosted by: Matt Kerr