General potential theories concern the study of functions which are subharmonic with respect to a suitable constraint set in the space of 2-jets. While interesting in their own right, general potentia...
Given a complete d-dimensional Riemannian manifold \((\mathcal M,g)\) I will prove that, for any \(p\in\mathcal M), any nonlinearity \(f(q,u)\) with \(f(p,0)>0\) and for any integer \(n\ge2\), the...
We prove the existence of superabundant components in higher rank Brill-Noether loci of stable bundles over general curves. This, extending a known phenomenon in rank two case, shows that the Petri ma...
The goal of this talk in to introduce the applications of the command-line to support the mathematician in their work and writing, independently of the field. In the first part, we will discuss what a...
Moduli spaces of representations associated to quivers are algebraic varieties encoding the continuous parameters of linear algebraic classification problems. In recent years their topological and geo...
Summation-by-parts (SBP) operators, which discretely mimic the integration-by-parts principle, provide a systematic framework for constructing energy-stable numerical methods for energy-bounded initia...
The talk discusses a framework to analyze certain model-based reinforcement learning algorithm. Roughly speaking, this approach consists in designing a model to deal with situations in which the syste...
The seminar concerns the study of evolution equations on graphs, motivated by applications in data science and opinion dynamics. We will discuss graph analogues of the continuum nonlocal-interaction e...
A famous theorem by Mukai (1988) provides a classification of all possible finite groups admitting a faithful action by symplectic automorphisms on some K3 surface. In 2011, in collaboration with Gabe...
We will begin with a quick reminder of algebraic K-theory, and a few classical, vanishing results for negative K-theory. The talk will then focus on a striking 2019 article by Antieau, Gepner and Hell...
