Quid of dynamical degrees ? The dynamical degree of a polynomial endomorphism f of K^n measures the exponential growth of its degree under iteration. Using weighted degrees, I will construct a space of Tame …

In this talk, I will explain how the non-vanishing of fixed-domain curve counts (Tevelev degrees) in a fixed curve class implies the stability of the tangent bundle TX​ with respect to that class. I will then apply …

We will examine stochastic implicit algorithms. These algorithms have proven more robust with respect to step size selection compared to their explicit counterparts. Specifically, we will show that variance …

Imagine a species whose habitat breaks into islands. Some populations become isolated, others stay connected, and over time the pattern keeps changing. These movements and separations leave traces in the species’ …

Déterminer l’image de l’ensemble des points rationnels sous un morphisme de variétés est une question naturelle et délicate. Abramovich a introduit la notion de _points firms_ afin d’étudier ce problème. Dans ce …

The natural domains of existence of holomorphic functions in several variables are characterized by pseudoconvexity, which turns out to be a local condition on their boundaries. In the case where said boundary is …