Video Lectures

The astral sciences and early cultures: why do we study them, and how do we share our interest with the public?Alexander Jones (ISAW, NYU) in conversation with Sonja Brentjes (IAS, MPIWG)

 Alexander Jones will present a brief survey on his...

I will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular, it is non-A1

-invariant in general, but it recovers classical...

Consider the process where a signal propagates downward an infinite rooted tree. On every edge some independent noise is applied to the signal. The reconstruction problem asks whether it is possible to reconstruct the original signal given...

The problem of control of large multi-agent systems, such as vehicular traffic, poses many challenges both for the development of mathematical models and their analysis and the application to real systems. First, we discuss how conservation laws can...

I will give a construction of certain Q-valued deformation invariants of (in particular) complete non-positively curved Riemannian manifolds. These are obtained as certain elliptic Gromov-Witten curve counts. As one immediate application we give the...

We will discuss excitations with large spin and/or large particle number. For conformal theories this corresponds to investigating particular trajectories of heavy operators. 

We find trajectories with large approximate degeneracy and show that they...

Consider an oracle which takes a point x

and returns the minimizer of a convex function f in an ℓ2

ball of radius r around x. While it is straightforward to show that ≈r−1 queries to this oracle suffice to minimize f

to high accuracy in a unit ball...

In 1982, S. T. Yau conjectured that there exists at least four embedded minimal 2-spheres in the 3-sphere with an arbitrary metric. In this talk, we will show that this conjecture holds true for bumpy metrics and metrics with positive Ricci...

I will discuss the relationship between positive loops of contactomorphisms of a fillable contact manifold and the symplectic cohomology (SH) of the filling. The main result is that the existence of a positive loop which is "extensible" implies SH...

We discover a surface related to the pair correlation of zeros of the Riemann zeta function. We make a conjecture on the shape of the surface and present partial results and numerical evidence towards the conjecture. This is joint work with Debmalya...