Past Events

Any tangent category has a notion of connection for its differential bundles (the analog of vector bundles). In this talk, we’ll explore what this definition gives us in the tangent category of affine schemes. The talk will be roughly divided into...

In this project, we discuss some fine properties and the existence of variational solutions to the Total Variation Flow. Instead of the classical Euclidean setting, we intend to work mostly in the general setting of metric measure spaces. During the...

In the preface of its Lectures on Noncommutative Geometry [Gin05], Ginzburg writes: “Each of the mathematical worlds that we study is governed by an appropriate operad. Commutative geometry is governed by the operad of commutative (associative)...

From the work on Bernoulli convolutions by P. Erd\H{o}s in 1939 and up to the recent advances on self-similar measures by M. Hochman, P. Shmerkin, P. Varj\'u, and others, questions on absolute continuity and singularity remain to be a challenge. They...

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

In this talk, we will study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationship between the large N limit of the constant in the logarithmic...

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya conjecture asserts that such sets must have dimension n. This conjecture is closely related to several open problems in harmonic...

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally...