Fourier analysis over commutative algebraic groups and Frobenius distribution

Abstract: In ongoing joint work with A. Forey and J. Fresán, we generalize to any connected commutative algebraic group the convolution approach to equidistribution problems pioneered by Katz for the multiplicative group.

The lecture will survey the general statements before focusing on concrete examples, including a special case related to lines on cubic threefolds, where the exceptional group E_6 appears.

number theory

Audience: researchers in the topic

Around Frobenius distributions and related topics II