Past Events

Hopfield proposed in 1982 as a simple model capable to store and successively retrieve a number of high dimensional patterns, which represents nowadays a cornerstone of the early AI studies. The Hopfield model can be studied from the angle of...

Skeletal muscle is composed of cells collectively referred to as fibers, which themselves contain contractile proteins arranged longtitudinally into sarcomeres. These latter respond to signals from the nervous system, and contract; unlike cardiac...

We study sums of the form ∑n≤x f(n) n⁻ⁱʸ, where f is an arithmetic function, and we establish an equivalence between the Riemann Hypothesis and estimates on these sums. In this talk, we will explore examples of such sums with specific arithmetic...

The signs of the entries of a real matrix can give insight into the eigenvalues of the matrix. A well-known example is the Perron Frobenius theorem for matrices that have no negative entries. As an inverse eigenvalue problem, one can ask for the...

We study the thermal decay of bubble oscillations in an incompressible fluid with surface tension. Particularly, we focus on the isobaric approximation [Prosperetti, JFM, 1991], under which the gas pressure within the bubble is spatially uniform and...

We prove some Szemeredi-Trotter type estimates for tubes in the plane under some natural assumptions. Joint works with Ciprian Demeter and with Shukun Wu (in progress), which are based on the Furstenberg sets estimate proved by Orponen-Shmerkin, and...

In this third part, we will discuss orientations of manifolds, Poincaré duality, and the intersection product.

We show that \((n,d,\lambda)\)-graphs with \(\lambda=O(d/log^3n)\) are universal with respect to all bounded degree spanning trees. This significantly improves upon the previous best bound due to Han and Yang, and makes progress towards a problem of...

Influential work of Hodge from the 1940s led the way in using Gröbner bases to combinatorially study the Grassmannian. In this talk, we will follow Hodge's approach in order to investigate certain subvarieties called positroid varieties. Positroid...

In the colored asymmetric simple exclusion process, one places a particle of "color" −k at each integer site k∈ℤ. Particles attempt to swap places with an adjacent particle: at rate q∈[0,1) if they are initially ordered (e.g., 1 then 2) and at rate 1...