Top-level heading

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/...

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...

The Gamma disordered Aztec diamond

The Aztec diamond, under the uniform measure on domino tilings, is one of the classic examples of an exactly solvable model in probability and statistical mechanics. Its rich geometric features—such a...

Some tricks to deal with group actions in positive characteristic.

Through a series of examples (all involving at most $3\times 3$ matrices, as with bigger groups it is clearly impossible to do a correct computation on the board), we illustrate some of the pathologie...

Central limit theorems for sequential systems

The fluctuations of Birkhoff averages for strongly chaotic systems are well known to satisfy a Central Limit Theorem. However, many systems of interest are non-autonomous, prompting the question ...

Bimeromorphic Properties of Locally Conformally Kähler Manifolds

I shall give a brief introduction in LCK geometry, then focus on the existence of a minimal model for a certain subclass. If time permits, I shall discuss other bimeromorphic properties too....

The role of the curvature in the uniqueness of the critical point of solutions to elliptic PDEs

We consider positive, semi-stable solutions of −Delta u = f(u) on domains of the model spaces of constant curvature. We provide geometric conditions on the domains guaranteeing the uniqueness and the ...