Top-level heading

Topological defects in vertex operators algebras

Topological defects in quantum field theory have received considerable attention in the last few years as generalizations of the concept of symmetry. In the context of two dimensional conformal field ...

Introduction to Spectral Geometry, or "how to hear the shape of a drum"

Heat diffusion, wave propagation (drums, guitars), electric and magnetic phenomena, quantum stuff, fluid flow... all these physical phenomena share the property of being modelled by partial differenti...

A new Extended KDV Equation: Theoretical Study, Numerical Validation & Tsunami Application

The KdV is one of the most widespread non-linear models, commonly used by coastal engineers, describing the propagation waves in weakly non-linear and weakly dispersive shallow water problems. Many oc...

Uniform value in stochastic games

I will present an introduction to the literature on dynamic problem s controled by several agents, called Stochastic games and in particular on the concept of uniform value (two-player zero-sum case)...

Cohomological rank functions and Seshadri constants on abelian varieties

In this thesis we study some questions on abelian varieties by means of the Fourier-Mukai-Poincaré (FMP) transform and generic vanishing. Specifically, we study cohomological rank functions, and give ...

Algorithms for plane algebraic curves, with an application to integrating algebraic functions

We will outline an efficient algorithmic approach to the desingularisation of plane algebraic curves. Applications include computing the genus, Riemann-Roch spaces, and testing whether the curve is hy...

An introduction to quiver Grassmannians

We will introduce quiver representations and quiver Grassmannians, focusing on the fact that "quiver Grassmannians can be anything" - that is, every projective variety is a quiver Grassmannian. The go...
Iscriviti a a.a. 2024-2025