Events and Activities

A predicate $P:\Sigma^k \to {0,1}$ is said to be linearly embeddable if the set of assignments satisfying it can be embedded in an Abelian group. 

In this talk, we will present this notion and mention problems it relates to from various areas...

Given $n\in\mathbb{N}$ and $\xi\in\mathbb{R}$, let $\tau(n;\xi)=\sum_{d|n}d^{i\xi}$. Hall and Tenenbaum asked in their book \textit{Divisors} what is the value of $\max_{\xi\in[1,2]} |\tau(n;\xi)|$ for a ``typical'' integer $n$. I will present work...

Erdős-style geometry is concerned with combinatorial questions about simple geometric objects, such as counting incidences between finite sets of points, lines, etc. These questions can be typically viewed as asking for the possible number of...

In this lecture I will present basic elements of the theory of nonlocal games from quantum information theory and give some examples. I will then introduce the idea of "compressing" the complexity of nonlocal games, and show how the right form of...

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We discuss the integrality of theta liftings of anti-cyclotomic characters to a definite unitary group of two variables. This will allow us to construct a Hida family of the theta liftings and relate the congruence module of which to an anti...

The question of stability of approximate group homomorphisms was first formulated by Ulam in the 1940s. One of the most famous results in this area is Kazhdan's 1982 result on stability of approximate unitary representations of an amenable group...