(Vasudevan talk) 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.

(Ure talk) The celebrated Bloch-Kato conjecture implies that the cohomology ring of a field with coefficients in a finite cyclic group is generated in degree one. In this talk, I will present a systematic approach to understanding this phenomenon in finite field extensions. Furthermore, I will explore other groups exhibiting this property and characterize all such groups that are finite. This talk is based on joint work with Sunil Chebolu, Ján Mináč, Cihan Okay, and Andrew Schultz.

(Frei talk) TBA

(Haines talk) TBA

(Singh talk) TBA