Video Lectures

We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimensional incompressible Euler equations.  Specifically, we discuss whether steady states can be isolated, wandering for solutions starting nearby...

One of the central problems of coding theory is to determine the trade-off between the amount of information a code can carry (captured by its rate) and its robustness to resist message corruption (captured by its distance). On the existential side...

Understanding the behavior of multi-player (multi-prover) games under parallel repetition is an important problem in theoretical computer science.

In a k-player game G, a referee chooses questions (x1,...,xk) from a (publicly known)...

Modern theoretical investigations into the nature of spacetime are revealing that quantum entanglement plays a crucial role for resolving several long standing puzzles. Black holes have been central to these investigations. Quantum models for black...

Modern theoretical investigations into the nature of spacetime are revealing that quantum entanglement plays a crucial role for resolving several long standing puzzles. Black holes have been central to these investigations. Quantum models for black...

Modern theoretical investigations into the nature of spacetime are revealing that quantum entanglement plays a crucial role for resolving several long standing puzzles. Black holes have been central to these investigations. Quantum models for black...

Modern theoretical investigations into the nature of spacetime are revealing that quantum entanglement plays a crucial role for resolving several long standing puzzles. Black holes have been central to these investigations. Quantum models for black...

In this talk, I want to show that in the planar circular restricted three body problem there are infinitely many symmetric consecutive collision orbits for all energies below the first critical energy value.  By using the Levi-Civita regularization...

Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Liouville theory appeared there under the form of a 2D Feynman path integral, which can be thought of as a measure (or expectation value) over the...

Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Liouville theory appeared there under the form of a 2D Feynman path integral, which can be thought of as a measure (or expectation value) over the...