Previous Conferences & Workshops

Ideas of Kontsevich-Soibelman and Fukaya indicate that there is a natural rigid analytic space (the mirror) associated to a symplectic manifold equipped with a Lagrangian torus fibration. I will explain a construction which associates to a...

The following questions are quite intimately related. Please consider them before the talk. Some have surprising answers which are highly nontrivial theorems in computational complexity.

• Do you find Tic-Tac-Toe an interesting game? Why?
• Do you...

Anabelian geometry techniques allow the construction of explicit universal spaces which capture birational properties of algebraic varieties. I will describe this theory and its applications (joint with F. Bogomolov).

One of the most studied objects in mathematics is the modular curve, which is the quotient of hyperbolic 2-space by the action of \(\mathrm{SL}_2(\mathbb Z)\). It is naturally the home of modular forms, but it also admits an algebraic structure. The...

The Goncharov reading group is an informal seminar which will read the paper "Volumes of hyperbolic manifolds and mixed Tate motives" and related materials. We will meet on Wednesdays at 10 am in Simonyi 114.

We prove that the logarithm of Fourier series with random signs is integrable to any positive power. We use this result to prove the angular equidistribution of the zeros of entire functions with random signs (and more generally the almost sure...

I will survey what is known about the complexity of arithmetic circuits computing polynomials and rational functions with non-commuting variables, focusing on recent results and open problems. Strangely enough, some elementary questions in...

One of the most studied objects in mathematics is the modular curve, which is the quotient of hyperbolic 2-space by the action of \(\mathrm{SL}_2(\mathbb Z)\). It is naturally the home of modular forms, but it also admits an algebraic structure. The...