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...
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...
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...
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...
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...
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...
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...
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...
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.
