Previous Conferences & Workshops

Dislocations are line defects in crystals, and can be modeled using non-local operators. In this talk we will consider a related reaction-diffusion equation with a half-Laplacian. We show that the limit dynamics is characterized by a system of ODEs...

The Parallel Repetition Theorem by Raz is used to amplify the soundness of PCP's, and is one of the ingredients to prove strong inapproximability results. Unfortunately, Raz's proof was very complicated. In these two talks, I will present the...

If a closed subset X of the plane is projected orthogonally onto a line, then the Hausdorff dimension of the image is no larger than the dimension of X (since the projection is Lipschitz), and also no larger than 1 (since it is a subset of a line)...

This work attempts to broaden the foundations of public-key cryptography. We construct a new public key encryption based on two “hardness on average” assumptions: (1) it is hard to “learn parity with noise” for random sparse equations; and (2) it is...

From the trace formula and the global Langlands correspondence one can infer the existence of a particular rigid l-adic local system on the projective line with tame ramification at 0 and wild ramification, of the mildest possible kind, at infinity...

We construct our understanding of the world solely from neuronal activity generated in our brains. How do we do this? Many studies have investigated how the electrical activity of neurons (action potentials) is related to outside stimuli, and maps...

In this talk I review recent results on the infrared mass renormalization in non-relativistic quantum electrodynamics (non-relativistic particle system interacting with quantized electro-magnetic field). The review will also include the description...