# Video Lectures

### From Nonlocal Games to Undecidability

Thomas Vidick

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...

### Patchy Anthropocene: The Feral Impacts of Infrastructure

Global climate change policy is not enough: environmental damage emerges patch by patch.  It is up close and personal as well as planetary.  Perhaps what we need is a “field guide” to the feral, that is, to nonhuman responses to human building...

### Recognizing Groups in Erdős Geometry and Model Theory

Artem Chernikov

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...

### On the Maximum of a Twisted Divisor Function

Dimitris Koukoulopoulos

Given n∈ℕ and ξ∈ℝ, let τ(n;ξ)=∑d|ndiξ. Hall and Tenenbaum asked in their book \textit{Divisors} what is the value of maxξ∈[1,2]|τ(n;ξ)| for a typical'' integer n. I will present work in progress, carried out in collaboration with Louis-Pierre...

### The Lens of Abelian Embeddings

A predicate P:Σk→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. These areas...

### On the geometry of p-adic Shimura varieties

Mingjia Zhang

Shimura varieties play an important role in the Langlands program. In this talk I will explain a conjectural fiber product structure on them as p-adic adic spaces, which generalizes the fiber product formula of Mantovan. To understand the conjecture...

### Connes Embedding Problem, Kirchberg's Conjecture and Tsirelson's Problem

Thomas Vidick

The three problems referred to in the title originate in the theory of von Neumann algebras, C* algebras, and quantum information theory respectively. Each of them has been a deep long-standing open problem in its respective area. Surprisingly, the...

### Close Encounters of the Wormhole Kind

Black holes are expected to exhibit universal 'random matrix' behavior at late times, indicative of quantum chaos. The approach to a late-time plateau in the spectral form factor (SFF) is a probe of this behavior. In this talk we study the SFF in...

### A few recent stories about the Gaussian free field

Juhan Aru

In the first story we wonder about the ubiquity of the free field and look at a few characterisation theorems. In the second story we discuss the mutually benefiting relationship between the discrete free field and the O(N) spin model. Finally, in...

### Symplectic Barriers

In this talk we discuss the existence of a new type of rigidity of symplectic embeddings coming from obligatory intersections with symplectic planes. This is based on a joint work with P. Haim-Kislev and R. Hind.