The derivation of effective macroscopic theories approximating microscopic systems of interacting particles in some scaling limit is a major question…
Categoria evento: Seminars
A geometric approach to deriving and numerically integrating models with transport-type noise in geophysical fluid dynamics – Erwin Luesink (Imperial College London)
In this talk I will discuss how the framework of geometric continuum mechanics can be made stochastic by introducing the…
Some results on a simple model of kinetic theory – Federico Bonetto (Georgia Institute of Technology)
In 1955 Mark Kac introduced a simplified model for the evolution of a gas of hard spheres undergoing elastic collisions.…
Hodge-to-singular correspondence – Mirko Mauri (IST Austria)
We show that the cohomology of moduli spaces of Higgs bundles decomposes in elementary summands depending on the topology of the symplectic singularities on a (fixed!) master object and/or the combinatorics of certain posets and lattice polytopes.…
(Non-archimedean) SYZ fibrations for Calabi-Yau hypersurfaces – Enrica Mazzon (University of Regensburg)
The SYZ conjecture is a conjectural geometric explanation of mirror symmetry. Based on this, Kontsevich and Soibelman proposed a non-archimedean approach, which led to the construction of non-archimedean SYZ fibrations by Nicaise-Xu-Yu. A recent…
From transcripts to game strategies: mathematical insights for advancing data science – Francesco Morandin (Università di Parma)
Through a diverse range of topics, we explore the application of statistical modeling and AI algorithms in several realms. We…
A Tensor Gradient Cross for Hamilton-Jacobi-Bellman equations – Luca Saluzzi (Scuola Normale Superiore, Pisa)
Hamilton-Jacobi-Bellman (HJB) equation plays a central role in optimal control and differential games, enabling the computation of robust controls in feedback form. The main disadvantage for this approach depends on the so-called curse of…
Statistical mechanics of neural networks: from the theoretical state of the art to selected applications in health-care – Adriano Barra (Università del Salento)
In this talk, after a streamlined historical introduction to Artificial Intelligence, at first, I will summarize recent advances in our…
Four-sided pegs fitting round holes fit all smooth holes – Andrew Lobb (Durham University)
Given a smooth Jordan curve and a cyclic quadrilateral (a cyclic quadrilateral is a quadrilateral that can be inscribed in…
Vertex labeling properties on simplicial complexes – Bruno Benedetti (University of Miami)
Hamiltonian graphs are graphs where one can find a closed walk that touches all vertices exactly once. Equivalently, they are the graphs whose vertices can be labeled from 1 to n so that all of 12, 23, 34, …, n1 feature among the edges. This…