Top-level heading

Boundedness for fibered Calabi-Yau varieties

Through the lens of Minimal Model Program, the classification of algebraic varieties can be summarised in 2 steps. First MMP allows to decompose a variety with mild singularities, birationally, into a...

Modular vector bundles on smooth Debarre-Voisin manifolds

Few years ago, O'Grady introduced the notion of modular sheaves on hyperkähler manifolds, which, along with the notion of hyperholomorphic and atomic sheaves, aims to a better study of the moduli spac...

On the geometry of some quiver zero loci Fano manifolds

Quiver flag varieties are special moduli space of stable rapresentations of quiver and are central in the construction of a database of 749 families of Fano fourfolds by E. Kalashnikov. In this talk w...

Spectral gaps in many body quantum systems

How does the spectral gap of a quantum many body system scale with the system size? This turns out to be a very relevant question both in condensed matter physics and in quantum computing. However, th...

The contact process on dynamic scale-free networks

In this talk, I will present recent results on the contact process on two specific types of scale-free, inhomogeneous random networks that evolve either through edge resampling or by resampling entire...

Virtual intersection theory on the space of lines in the plane

The moduli space of stable n-pointed rational curves is a fundamental object in algebraic geometry. Many aspects of the space, such as its intersection theory, have been completely understood. The two...

Schauder estimates for elliptic equations degenerating on lower dimensional manifolds

We discuss some regularity results for a class of elliptic equations with coefficients that degenerate or explode on a lower dimensional manifold. The prototype is given by \( -div(|y|^aA(x, y)\nabla ...

The exact solution of the 2D classical and 1D quantum Ising models via the Kac-Ward method

Onsager proposed a closed-form expression for the free energy of the 2D classical Ising model in 1944. In 1952, Kac and Ward introduced an alternative elegant method of combinatorial nature. Kager, Li...

Introduzione alla Teoria delle Altezze

Il corso si propone per prima cosa di dare una breve introduzione alla teoria delle altezze normalizzate su gruppi algebrici, in particolare su una potenza del gruppo moltiplicativo. Dopo aver richiam...

Towards an Arbitrary Lagrangian Eulerian MOR framework for advection dominated problems

Advection dominated problems represent still nowadays a great challenge for the Model Order Reduction community, because of their intrinsic difficult nature. In this talk we will focus on hyperbolic p...
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