Previous Conferences & Workshops

An inertial manifold is a positively invariant smooth finite-dimensional manifold which contains the global attractor and which attracts the trajectories at a uniform exponential rate. It follows that the infinite-dimensional dynamical system is...

Abstract: The Higher order Fourier uniformity conjecture asserts that on most short intervals, the Mobius function is asymptotically uniform in the sense of Gowers; in particular, its normalized Fourier coefficients decay to zero.  This conjecture...

Abstract: What is the densest lattice sphere packing in the d-dimensional Euclidean space? In this talk we will investigate this question as dimension d goes to infinity and we will focus on the lower bounds for the best packing density, or in other...

Abstract: Discrete subgroups of PSL(2,C) are called Kleinian groups and they are fundamental groups of complete oriented hyperbolic 3-manifolds/orbifolds. Except for countably many conjugacy classes, all Kleinian groups have infinite co-volume in...

Abstract: The Mobius function is one of the most important arithmetic functions. There is a vague yet well known principle regarding its randomness properties called the “Mobius randomness law". It basically states that the Mobius function should be...

Description
Co-hosted by the Institute for Advanced Study and Princeton University, "Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact" will run from June 3-7, 2024.

Organized in partnership with CMI.  We thank the following...

There has been much recent progress on the local solution theory for geometric singular SPDEs. However, the global theory is still largely open. In my talk, I will discuss the global well-posedness of the stochastic Abelian-Higgs model in two...

At the base of spontaneous pattern formation is universally believed to be the competition between short range attractive and long range repulsive forces. Though such a phenomenon is observed in experiments and simulations, a rigorous understanding...