Top-level heading

Model Categories and Abstract Homotopy Theory

The course will be an introduction to the theory of model categories and abstract homotopy theory. After the basic definitions (model structures, homotopy categories, Quillen functors) we will study h...

Stochastic Controlled Delay Equations: Optimal Control, Mean Field Control, Mean Field Games

We present some recent results on optimal control/differential games in cases where the state equation is a stochastic delay differential equation (SDDE) with delay in the state and/or in the control....

Hyperelastic models with contact and viscosity: simulation of stents in arterial tissues

In this talk, we focus on the modeling and simulation of large-strain (hyperelastic) elasticity problems, with particular application to the study of soft biological tissues. We also consider friction...

Signaling competence in election

We study a dynamic game of incomplete information between two candidates and one voter. There is an unknown state of the world ω ∈ {x, y}. The voter’s payoff is maximized when the implemented policy c...

Conditional propagation of chaos for mean field systems of interacting neurons

Joint work with Dasha Loukianova and Elisa Marini We consider a system of N interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical m...

A journey through memories: spin glasses, associative neural networks and machine learning

Abstract:  The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memo...

L2 Harmonic forms and spinors on stable minimal hypersurfaces

Stable minimal hypersurfaces are a central topic in both Riemannian geometry and geometric analysis. Starting with the foundational work of Fischer-Colbrie and Schoen, the last decades have seen an in...

A journey through memories: spin glasses, associative neural networks and machine learning

The Hopfield model represents a foundational paradigm in artificial intelligence, providing a prototypical example of an attractor neural network designed to implement associative memory. Since its in...

Ottimizzazione di forma per gli autovalori del Laplaciano con condizioni al contorno di Robin e problemi a discontinuità libera

Nel seminario esporrò un approccio al problema di ottimizzare il k-esimo autovaloredel Laplaciano con condizioni di Robin al variare della forma del dominio che utilizza una riformulazione in termini ...

Mathematical Modeling and Analysis of Regeneration in Flatworms

Planaria are flatworms which possess the ability to regenerate after rather severe injuries to their body. Even very small tissue parts cut from the flatworm can regenerate to a fully functioning and ...
Iscriviti a a.a. 2025-2026