This talk will summarize a project I was involved in during the
past 8 years. It started with attempts to understand the PIT
(Polynomial Identity Testing) problem - a central problem involving
randomness and hardness. It has led us to pursue many...
We start by relating a result on the reducibility of
induced representations of a reductive group through local
Langlands correspondence to Artin L-functions. Such a result is of
interest in the study of the arithmetic theory of
We prove results in the direction of showing that for some
affine curves, Baker's method applied to finite étale covers is
insufficient to determine the integral points. This is joint
work with Aaron Landesman.
A few months ago, I decide to attempt to formalize one of my own
papers using the Lean4 theorem prover. I will report on this
experiment. (The Lean code can be found there: https://github.com/smorel394/TS1)