Date:
Tue, 12/05/202614:00-15:00
Location:
Ross 70
Title: p-adic dynamics; a non-archimedean version of x2 x3
Speaker: Hillel Furstenberg (HUJI)
Abstract: The reference in the title of my talk is to two unresolved questions relating to a pair of actions, x -> ax and x -> bx, on the 1-torus T = R/Z.
p-adic dynamics replaces the 1-torus T with the ring of p-adic integers, and we deal with the actions x -> [x/a] and x -> [x/b], which are well defined on the ab-adic integers. We find analogous questions arise in this context. However on account of a richer algebraic structure, a bit more can be said in this "non-archimedean" setup. Moreover some of the answers would carry over from one setup to the other.
Speaker: Hillel Furstenberg (HUJI)
Abstract: The reference in the title of my talk is to two unresolved questions relating to a pair of actions, x -> ax and x -> bx, on the 1-torus T = R/Z.
p-adic dynamics replaces the 1-torus T with the ring of p-adic integers, and we deal with the actions x -> [x/a] and x -> [x/b], which are well defined on the ab-adic integers. We find analogous questions arise in this context. However on account of a richer algebraic structure, a bit more can be said in this "non-archimedean" setup. Moreover some of the answers would carry over from one setup to the other.