Top-level heading

Modular vector bundles on the Fano variety of a cubic fourfold

In this talk I will report on a joint work in progress with E. Fatighenti, in which we study some special vector bundles on the Fano variety of lines of a cubic fourfold. We will see that these bundle...

An adaptive stochastic Galerkin method for elliptic PDEs

We model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...

Classical and tropical moduli spaces of curves, combinatorial aspects.

The aim of this seminar is to highlight the combinatorial aspects that arise from studying the compactifications of the moduli space of smooth curves. We will provide an overview of the construction o...

Every complex Hénon map satisfies the Central Limit Theorem.

Hénon maps were introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. They are among the most studied discrete-time dynamical systems that exhibit chaotic behav...

Low energy spectrum of the XXZ model coupled to a magnetic field

I will report on recent developments concerning the control of a class of short-range perturbations of the Hamiltonian of an Ising chain. An example covered by our analysis is the celebrated XXZ chain...

A Hamilton-Jacobi-Bellman Approach to Ellipsoidal Approximations of Reachable Sets

Society's ever-increasing integration of autonomous systems in day-to-day life has simultaneously brought forth concerns as to how their safety and reliability can be verified. To this end, reachable ...

Dissolution of Multiple Variable-in-Shape Drug Particles Using the Level-Set Method

The dynamics of variable-in-shape drug particles are fundamental to predict the dissolution of drugs in a fluid. In this talk we propose a new approach which consists of describing the dissolution pro...

Cluster algebras and knot theory

Cluster algebras are commutative algebras with a special combinatorial structure. A cluster algebra is a subalgebra of a field of rational functions in several variables that is generated by a disting...

Stochastic Homogenization of viscous HJ equations in 1d

In this talk I will present some new results I have recently obtained about homogenization of viscous Hamilton-Jacobi equations in dimension one in stationary ergodic environments with nonconvex Hamil...
Iscriviti a a.a. 2023-2024