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...
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...
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...
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 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...
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...
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 ...
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....
