Alex Lubotzky - A tale of three problems
September 20, 2023 - Princeton University
This talk is an preview to Alex Lubotzky's Fall 2023 Minerva Mini-course, "High Dimensional Expanders and Their Applications in Mathematics and Computer Science"
In this lecture three fairly elementary problems will be presented along with their history.
a. Gromov topological overlapping problem.
b. The existence of good locally testable error correcting codes.
c. Are all groups sofic?
While the three problems appear to be unrelated, the following talks will show that they are! The solutions of the first two will be described and a plan of attack on the third.