Special Year 2022-23: Dynamics, Additive Number Theory and Algebraic Geometry - Seminar

Special Year Research Seminar

December 06, 2022 | 2:00pm - 3:30pm

A conjecture of Erdős states that for every large enough prime q, every reduced residue class modulo q is the product of two primes less than q. I will discuss my on-going work with Kaisa Matomäki establishing among other things a ternary variant of...

Special Year Informal Seminar

December 02, 2022 | 1:30pm - 2:30pm

Diophantine approximation deals with quantitative and qualitative aspects of approximating numbers by rationals. A major breakthrough by Kleinbock and Margulis in 1998 was to study Diophantine approximations for manifolds using homogeneous dynamics...

Special Year Learning Seminar

November 30, 2022 | 10:30am - 12:00pm

We will survey general definitions and facts about ultrafilters, and how the algebraic operations on the integers extend to the space of ultrafilters. We will also discuss some applications in combinatorial number theory and ergodic theory.

Special Year Research Seminar

November 22, 2022 | 2:00pm - 3:30pm

If a set of integers is syndetic (finitely many translates cover the integers), must it contain two integers whose ratio is a square?  No one knows.  In the broader context of the disjointness between additive and multiplicative configurations and...

Special Year Research Seminar

November 15, 2022 | 2:00pm - 3:30pm

A discrete subgroup of PSL(2,C) is called a Kleinian group. I will present  a criterion on  when a discrete faithful representation of a Kleinian group into PSL(2,C) is a conjugation, or equivalently  a criterion on when an equivariant embedding of...

Special Year Learning Seminar

November 09, 2022 | 10:30am - 12:00pm

The goal of this learning seminar is to explain some of the core model theoretic notions which are behind Tao’s algebraic regularity lemma about definable graphs in finite fields (Tao 2012).

We will assume minimal knowledge of model theory and...