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.

Thesis Defence
Speaker: Javadekar Omkar Deepak
Host: Ananthnarayan Hariharan
Title: On Invariants of Graded Free Resolutions
Time, day and date: 4:00 PM, Wednesday, May 21
Venue: Ramanujan Hall
Abstract: --