Perverse filtration via the Brylinski-Radon transformation

par Shuddhodan Kadattur Vasudevan

jeudi 26 oct. 2023, 14:00 → 15:00 Europe/Paris

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