Number Theory Seminar

Speaker: Prasuna Bandi (University of Michigan, Ann Arbor)

Host: U.K. Anandavardhanan

Title: Ergodic theorem for submanifold actions of R^d and application to diophantine approximation

Time, day and date: 4:00:00 PM, Wednesday, May 7

Venue: Ramanujan Hall

Abstract: I will discuss a problem in uniform multiplicative diophantine approximation, motivated by the celebrated Littlewood Conjecture in number theory, which is concerned about simultaneous approximation of two real numbers by rationals. I will explain how this uniform-multiplicative problem connects to homogeneous dynamics and ergodic theory, and then present some recent results that estimate the size (in terms of Lebesgue measure) of the corresponding Diophantine sets.