Seminars Sorted by Series

Let $G$ be a locally compact group acting by measure-preserving transformations on a probability space $(X,\mu)$. To every probability measure on $G$ there is an associated averaging operator on $L^p(X,\mu)$. Ergodic theorems describe the pointwise...

It is an introduction to the topic. We would present a proof of the quantitative sum-product in F^p and the proof of the exponential sum bound + an overview of what's around.

It is an introduction to the topic. We would present several inverse theorems in additive number theory (starting with Freiman's) and some overview about their applications. Next, we discuss the connection between some of these and problems...

It is an introduction to the topic. We would present a proof of the quantitative sum-product in F^p and the proof of the exponential sum bound + an overview of what's around.

It is an introduction to the topic. We would present several inverse theorems in additive number theory (starting with Freiman's) and some overview about their applications. Next, we discuss the connection between some of these and problems...

There has been quite a lot of recent work in additive combinatorics seeking to develop our understanding of the 'higher Fourier analysis' suggested by the work of Gowers on Szemeredi's theorem and the work of various ergodic theorists (Host, Kra...

There has been quite a lot of recent work in additive combinatorics seeking to develop our understanding of the 'higher Fourier analysis' suggested by the work of Gowers on Szemeredi's theorem and the work of various ergodic theorists (Host, Kra...

The goal of this course to provide an introduction to Monge-Ampere-type equations in conformal geometry and their applications. The plan of the course is the following: After providing some background material in conformal geometry, I will describe...

The goal of this course to provide an introduction to Monge-Ampere-type equations in conformal geometry and their applications. The plan of the course is the following: After providing some background material in conformal geometry, I will describe...

After recalling the definition of $Q$-curvature and some applications, we will address the question of prescribing it through a conformal deformation of the metric. We will address some compactness issues, treated via blow-up analysis, and then...

After recalling the definition of $Q$-curvature and some applications, we will address the question of prescribing it through a conformal deformation of the metric. We will address some compactness issues, treated via blow-up analysis, and then...

In these lectures we will describe the relationship between optimal transportation and nonlinear elliptic PDE of Monge-Ampere type, focusing on recent advances in characterizing costs and domains for which the Monge-Kantorovich problem has smooth...

In these lectures we will describe the relationship between optimal transportation and nonlinear elliptic PDE of Monge-Ampere type, focusing on recent advances in characterizing costs and domains for which the Monge-Kantorovich problem has smooth...

When we look at a differential equation in a very irregular media (composite material, mixed solutions, etc.) from very close, we may see a very complicated problem. However, if we look from far away we may not see the details and the problem may...

When we look at a differential equation in a very irregular media (composite material, mixed solutions, etc.) from very close, we may see a very complicated problem. However, if we look from far away we may not see the details and the problem may...

When we look at a differential equation in a very irregular media (composite material, mixed solutions, etc.) from very close, we may see a very complicated problem. However, if we look from far away we may not see the details and the problem may...

In 2005 Ma, Trudinger and Wang introduced a fourth-order differential condition which comes close to be necessary and sufficient for the smoothness of solutions to optimal transport problems with a given cost function. If the cost function is the...

In 2005 Ma, Trudinger and Wang introduced a fourth-order differential condition which comes close to be necessary and sufficient for the smoothness of solutions to optimal transport problems with a given cost function. If the cost function is the...