Past Events
- Lectures
We will describe some of the progress on these questions, with a particular emphasis on establishing weak forms of some of these questions which has led to new results on bounded gaps between…
- Lectures
By curling, folding, crumpling, sometimes tearing paper, we will explore a variety of unexpected phenomena- from geometry and the traditional art of origami, to magic tricks and engineering of…
- Lectures
We will tip our toes into some of the mathematical aspects of these techniques and we will see how they have recently been used to make precise analytical statements about the solutions of some…
- Conferences & Workshops
Recent developments in physical and social sciences have brought new problems and insights to kinetic theory.
- Lectures
The second and the third lectures will be devoted to discussing, more in detail, the solutions of the above counting problems (counting of real linear subspaces on hypersurfaces in the second…
- Lectures
The second and the third lectures will be devoted to discussing, more in detail, the solutions of the above counting problems (counting of real linear subspaces on hypersurfaces in the second…
- Lectures
Surprisingly, in quite a number of real enumerative problems, the number of real solutions happens to satisfy high lower bounds.
- Lectures
Through the works of Fermat, Gauss, and Lagrange, we understand which positive integers can be represented as sums of two, three, or four squares.
- Lectures
In this talk we will discuss Uniqueness Theorems for ancient solutions to geometric partial differential
equations such as the Mean curvature flow, the Ricci flow and the Yamabe flow.
- Lectures
Presenting recent results revealing a universal mechanism of localization for low-energy eigenfunctions, applying to boundary problems for the Laplacian and bilaplacian, Schroedinger operator with…
- Lectures
By perturbation, we get initial data leading to linear kinetic equations.
- Lectures
Lanford’s theorem states that in the Boltzmann-Grad limit the one-particle density converges to the solution of the kinetic Boltzmann equation almost everywhere on a short-time interval (…
- Lectures
Presenting the formal derivation of this low density limit, and discuss two important features, namely the propagation of chaos and the appearance of irreversibility.