Author Archives: hpasten

Thursday October 2 was the fourth and last day of the Fields Medal Symposium. We had two lectures in the morning and two lectures in the afternoon. There was a stronger number-theoretical flavor in the lectures of this final day. … Continue reading →

In Wednesday October 2 activities started at 9:15 am at the Fields Institute. We had three lectures in the morning, by Hillel Furstenberg, Elon Lindenstrauss and Shimon Brooks. Furstenberg’s lecture focussed on the following conjecture: for almost all x in … Continue reading →

In Tuesday October 1 the activities started in the morning, at 9:30 at the Fields Institute. We had two lectures in this morning session, the first by Nalini Anantharaman and the second by Jean Bourgain. Both of these lectures were … Continue reading →

Here is a survey of the first day at the Fields Medal Symposium 2013. Activities started in the afternoon at 1:30 pm, at the Fields Institute. Walter Craig (Director of the Fields Institute) gave some brief opening remarks about this … Continue reading →

In this post we describe a precise achievement of Lindenstrauss and his co-authors, to get a more concrete idea of what is his research about. There are several deep contributions which one could try to explain, but it seems that … Continue reading →

According to Lindenstrauss’s beautiful expository article [Lin], a common application of Ergodic Theory for solving a number theoretical problem involves three steps: Step 1. Translate your number theoretical problem into a problem about dynamical systems. Step 2. Classify the invariant … Continue reading →

Welcome to the 2013 version of the Fields Medal Symposium blog! I am Hector Pasten and I will be writing for you about the 2013 Fields Medal Symposium during the next couple of weeks. This year the symposium will take … Continue reading →