Modular theory of operator algebras and entropy in quantum field theory

In the theoretical physics community there has been recently an increasing interest towards the analysis and computation of information theoretic quantities in quantum field theory, sparked by their a...

Moduli spaces of semiorthogonal decompositions

The bounded derived category of coherent sheaves on a smooth projective variety $X$ is a sensible and somewhat subtle invariant of $X$. Its study is tightly related to rationality problems, MMP, Mirro...

Modulational instability of internal gravity waves for a 2D Boussinesq system

We consider a two-dimensional incompressible inviscid fluid with variable density, under the action of gravity. We assume that the equilibrium density profile is stable, and we consider the so-called ...

Optimal global BV Regularity for 1-Laplace type problems in presence of sub-homogeneous lower order terms

This seminar addresses the existence and optimal global regularity of solutions for homogeneous Dirichlet problems involving the 1-Laplacian operator and singular lower-order terms. The motivation for...

p-adaptive Deferred Correction

We will show how to design efficient numerical schemes with a natural p-adaptive character within the Deferred Correction framework....

Uniqueness for Radial Lane–Emden Equations in Annuli

In this talk, I will discuss qualitative properties of solutions to the Lane–Emden equation, with particular emphasis on the uniqueness of radial solutions in annular domains for a fully nonlinear ver...

Critical Neumann problem in cones: bifurcation, stability, and regularity

We consider the critical Neumann problem in cones. We prove that the standard bubbles, which are the only radial solutions, become unstable for a class of nonconvex cones, which is defined through the...

Splitting Brauer classes by genus one curves

Let F be a field. A basic way to study a Brauer class over F is through its splitting fields: field extensions of F over which the class becomes trivial. In this lecture, I will discuss a question of ...

Kinetic Theory, Fluid Mechanics and Microscopic Systems: Mathematical Facets of the Physical World

The aim of the meeting is to bring together researchers working on the mathematical connections between microscopic and macroscopic scales, with a focus on interacting particle systems and kinetic and...

Dual formulation methods for hyperbolic conservation laws

We introduce a new framework for the numerical solution of hyperbolic systems of partial differential equations, based on two different formulations of the same governing equations: a conservative for...

The signature of a stratified space

Ever since the 1970's there have been many efforts to extend the definition of the signature from smooth to singular spaces in a manner that remains invariant under bordisms. The first great success, ...

Un approccio visuale per spiegare le proposizioni delle Coniche di Apollonio

Durante il seminario, verrà presentato un nuovo strumento interpretativo realizzato con l'idea di favorire una lettura puramente geometrica delle proposizioni contenute nell’opera Le Coniche di Apoll...
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