Seminars Sorted by Series

The first lecture will give some background on the geometry and dynamics on hyperbolic surfaces. I will give a brief overview of Teichmüller theory and properties of the mapping class groups and the space of geodesic currents. I will discuss some...

In the second lecture, I will discuss several natural geometric flows defined on bundles over the moduli spaces of curves. I will describe basic ergodic properties of these flows. I will discuss some open questions and some of the progress made in...

Let $X$ be a complete hyperbolic metric on a surface of genus $g$ with $n$ punctures. In this lecture I will discuss the problem of the growth of $s^{k}_{X}(L)$, the number of closed curves of length at most $L$ on $X$ with at most $k$ self...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

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...