Deformations of Symplectic Foliations

In this talk, based on joint work with Stephane Geudens and Marco Zambon, we develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. ...

Symmetry breaking for semilinear elliptic problems in higher dimensions

In this talk, we present an existence result for semilinear elliptic problems of the form -Delta u + u = f(u), u > 0, u in H^1_0(A), where A denotes either an annulus or the exterior of a ball in R...

The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one

Abstract: We study the limiting case $\gamma\to(1/2)^-$ in dimension one for the fractional Caffarelli-Kohn-Nirenberg inequality, obtaining Onofri's inequality in the unit disk as a limit. An importan...

Variational methods for topological patterns arising in physics

https://indico.math.cnrs.fr/event/15095/...

On the Brezis-Nirenberg problem in low dimensions

In this talk I will present some recent results regarding some open problem for a classical critical problem in a bounded domain in low dimensions. We will discuss the question of the existence of pos...

Degenerate deterministic Mean Field Games

I will talk about a research project with Y. Achdou, A. Cutri', C. Marchi and N. Tchou about some models of degenerate deterministic Mean Field Games (MFG). These games are modelized by a system of tw...

Variational methods for topological patterns arising in physics

https://indico.math.cnrs.fr/event/15095/...

Chiralization of cluster varieties

The chiralization in the title denotes a certain procedure which turns cluster X-varieties into q-W algebras. Many important notions from cluster and q-W worlds, such as mutations, global functions, s...

Variational methods for topological patterns arising in physics

https://indico.math.cnrs.fr/event/15095/...

Asymptotics for solubility of unit equations over real quadratic fields

For a real quadratic field K and positive integer r, we prove an asymptotic formula for the number of rational integers of bounded absolute value that can be written as a sum of r units of the ring of...
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