Previous Conferences & Workshops

We will present some recent developments in the quasi-geostrophic equations. We show that local solutions to critical and super-critical dissipative quasi-geostrophic equations have higher regularity, although one gets lower derivative in the...

A Property P of functions is said to be locally testable if there exists a probabilistic algorithm that makes few (constant) queries for the value of f and accepts those satisfying P while rejecting functions that are far from any function...

We give an improved explicit construction of highly unbalanced bipartite expander graphs with expansion arbitrarily close to the degree (which is polylogarithmic in the number of vertices). Both the degree and the number of right-hand vertices are...

Since the end of the nineties, the relations of optimal transport with many functional inequalities with geometric content has been revealed and explored by several authors (Barthe, Caffarelli, Cordero, McCann, Otto and others). Sobolev inequalities...

We give an explicit formula for the syntomic regulator of certain elements in the first algebraic K-theory group of a smooth complete surface over the ring of integers of a p-adic field. The formula uses the theory of Coleman integration and the...

A classic functional analytic result by Johnson and Lindenstrauss from 1984 implies that any Euclidean metric on n points can be represented using only k=(log n)/epsilon^2 dimensions with distortion epsilon. In computer science, this result has been...

We consider biased positional games, played on the edge set of a complete graph Kn on n vertices. These games are played by two players, called Maker and Breaker, who take turns in claiming previously unoccupied edges of Kn. Maker claims a single...

I describe a new simple way to obtain Rankin-Selberg type spectral identities. These include the classical Rankin-Selberg identity, the Motohashi identity for the forth moment of the zeta function and many new identities between various L-functions...

In this talk we introduce a new class of random fractals which we call conformal snowflakes. We study fine structure of harmonic measure on theses snowflakes. It turns out that in this case the multifractal spectrum of harmonic measure is related to...