Seminars Sorted by Series

The Riemann zeta function is the most important function of number theory, and a great part of modern research in number theory is dedicated to its study and the study of its relatives the L-functions. It was Riemann who revolutionized number theory...

Today the prevailing method in mathematics is 'analytic', in the sense that all mathematical objects are broken down into very small bits. For instance, a space or manifold is regarded as merely a set of points with structure. By contrast, in a...

The game of Prisoner's Dilemma is the simplest non-trivial game for two players. It has been studied by game-theory experts for fifty years. So it came as a big surprise this year when Bill Press discovered a new set of strategies which allow one...

Higher-order beliefs are of great importance in reasoning about agents’ strategic behavior, and have been long studied in epistemic game theory. Yet it was unclear whether eliciting such beliefs from the agents can help a social planner to better...

Black (or white) board is probably one of the most precious companions to many mathematicians. However, computers now also play an increasing role in the everyday activity of a researcher in mathematics: for typesetting articles, for testing...

Drawing on some recent work, I will try to explain how ideas from derived algebraic geometry shed new light on old constructions in arithmetic geometry, leading ultimately to a better understanding.

Abstract: Machine learning is a vibrant field with many rich techniques. However, most approaches in the field are heuristic: we cannot prove good bounds on either their performance or their running time, except in quite limited settings. This talk...

We relate algebraic quantum mechanics (C*-algebras) to topos theory, so as to capture the essence of quantum logic and quantum spaces. Motivated by Bohr's idea that the empirical content of quantum physics is accessible only through classical...

I will discuss what we should mean by a higher order structure, and relate it to examples in link theory,cobordism theory and higher categories, motivating a general notion. Examples from physics and chemistry will also appear.

These are a curious and only recently appreciated phenomenon in celestial mechanics, in which (for example) a planet orbiting one member of a binary star system undergoes large, slow oscillations in its orbital eccentricity and inclination. I will...

Many times in theoretical computer science we meet codes that have some local properties. For example Locally Decodable codes, Locally Testable codes, codes with Low Density Parity Check Matrix, Self Correctable codes and many others. In this talk...

Chaos Theory has been applied to find low energy spacecraft trajectories beginning with the successful Japanese lunar mission Hiten in 1991. The orbit design of this mission was based on the empirical concept of a `weak stability boundary’, due to...

In this talk I will present some old and new results on zeros of zeta functions. In particular, I will discuss the at first sight shocking result that there are plenty of zeta functions for which the Riemann hypothesis is false.

Some parts of the random matrix/nonequilibrium workshop will be concerned with stochastic models which are tagged as integrable. I will briefly recall the notion of classical integrability and quantum integrability, just to provide similarities and...

The most common question I get from people outside my field is "what is category theory good for? does it actually help solve problems?" The very very short answer is "yes"; in this talk, I will give a slightly longer answer by explaining some of...

In 1772 Euler characterized the surfaces that can be covered with paper, allowing bending but not tretching, cutting or wrinkling. For cloth in place of paper, it would be a different question, as cloth is more flexible, and that was answered by...

Grothendieck has proposed, under the name of "motives" a kind of Galois theory for non algebraic numbers. A mystery of the so-called "standard model" in high energy physics is the occurrence of about twenty numerical constants, independent of the...