Past Events

In this second part, we will look at more examples of cohomology rings. We will then focus on manifolds and discuss de Rham cohomology, orientations, Poincaré duality, and the intersection product.

A combinatorial object is said to be quasirandom if it exhibits certain properties that are typically seen in a truly random object of the same kind. It is known that a permutation is quasirandom if and only if the pattern density of each of the...

A geometric graph $G$ is a graph $G$ whose vertices are drawn in the plane such that no three vertices are collinear, and each edge of G is a straight line segment. A geometric homomorphism from geometric graph $G$ to geometric graph $H$ is a...

In this talk, we establish a fractional chain rule in the context of weighted Triebel-Lizorkin spaces. This result notably extends the fractional chain rule to weighted Sobolev spaces with an integrability index less than one. Additionally, we...

The theta process is a stochastic process of number theoretical origin arising from a scaling limit of quadratic Weyl exponential sums. It shares many properties in common with the Brownian motion such as its Hölder continuity, covariance structure...

In the talk exchangeability appears in two different meanings. In the first part, the determination of the phase diagram of the Curie-Weiss model relies on De Finetti’s Theorem. The Curie-Weiss distribution will be expressed as a random mixture of...

A zero-free region of the Riemann zeta-function is a subset of the complex plane where the zeta-function is known to not vanish. In this talk we will discuss various computational and analytic techniques used to enlarge the zero-free region for the...

In this overview talk, I will present the encounter-based approach to diffusive processes in Euclidean domains and highlight its fundamental relation to the Steklov spectral problem. So, the Steklov eigenfunctions turn out to be particularly useful...

The main task of causal discovery is to learn direct causal relationships among observed random variables. These relationships are usually depicted via a directed graph whose vertices are the variables of interest and whose edges represent direct...

A good way to understand the structure of a finite group is through its representations. The family of representations of a group on a fixed field has several properties: it is closed by finite direct sums, by tensor products, it contains the dual...