Video Lectures

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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...

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...