Past Events

In this talk on joint work with Rebecca Bellovin we discuss the “local ε-isomorphism” conjecture of Fukaya and Kato for (crystalline) families of G_{Q_p}- representations. This can be regarded as a local analogue of the global Iwasawa main conjecture...

The correlation length of order p for the |\varphi|^4 spin model (a continuous-spin version of the O(n) model) is a normalization of the p-th moment of its two-point function. We will outline the proof (based on a renormalisation group method of...

In many current applications scientists can easily measure a very large number of variables (for example, several thousands of gene expression levels) some of which are expected be useful to explain or predict a specific response variable of interest...

This is part II of the February 28 talk. Original abstract: I will describe how deterministic and stochastic dynamic optimal mass transports are to Mean Field Games what the classical calculus of variations offers to classical mechanics.

Many chemical systems exhibit a regular pattern of precipitate bands known as Liesegang rings in tribute to the chemist Raphael E. Liesegang who demonstrated them using a reaction of silver nitrate and potassium dichromate. A variety of theories have...

In 1909, Landau showed that the lim sup of the quotient of n by ϕ(n) log log n is exp(γ), where ϕ(n) is Euler's function. Later, Rosser and Schoenfeld asked whether there were infinitely many n for which n/ϕ(n) is greater than (log log n) exp(γ)...

Transitional phenomena are ubiquitous in fluid dynamics; they occur whenever there are multiple states in which a flow can reside. Frequently, we are able to investigate when and how a flow transitions from one state to another by performing a linear...

The Cahn-Hilliard equation models the motion of interfaces between several phases. The underlying energy functional includes a potential for which different types were proposed in the literature. We consider smooth and nonsmooth potentials with a...

Recently, Venkatesh introduced a global version of the derived Hecke algebra to explain extra endomorphisms on the cohomology of arithmetic manifolds: the crucial local construction is a derived version of the spherical Hecke algebra of a reductive p...

A classical approach to understanding spaces of homomorphisms is to describe its connected components. We mainly focus in the spaces Hom(N_{n,q},SU(2)), where N_{n,q} denotes the free q-nilpotent group on n-generators. We show that the connected...