Previous Conferences & Workshops

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...

The dichotomy conjecture asks if every Constraint Satisfaction Problem is either in P or NP-complete. We will study the basic algorithms and reductions for such problems. We will see many (equivalent) stronger versions of this conjecture actually...

The Lubotzky-Sarnak Conjecture asserts that the fundamental group of a finite volume hyperbolic manifold does not have Property \tau. Put in a geometric context, this conjecture predicts a tower of finite sheeted covers for which the Cheeger...

Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is widely regarded as a serious barrier to proving strong lower bounds...

5:15 p.m.: Talks
Thibault Damour
Professor, IHÉS
The Constants of Nature

Robert D. MacPherson
Pr...

The Lorenz differential equations, a system of non-linear ODE's in 3 space variables and time, have become well-known as the prototypical chaotic dynamical system with a `strange attractor'. A periodic orbit in the associated flow on $\mathbb R^3$...

Suppose that rho is a three-dimensional modular mod p Galois representation whose restriction to the decomposition groups at p is irreducible and generic. If rho is modular in some (Serre) weight, then a representation-theoretic argument shows that...

We will discuss topological information carried by weakly differentiable maps and its applications in an existence theory for absolute minimizers of the Faddeev knot energies in higher dimensions.