Abstract: This talk addresses the challenges of designing high-order implicit schemes for systems of hyperbolic conservation laws, particularly in the context of stiff problems where wave speeds ...
Abstract: Quali sono i meccanismi che regolano la formazione di strutture ramificate di tipo frattale in natura? Questa domanda ha attratto nell'ultimo secolo l'attenzione di molti fisici, matematici ...
Holomorphic line bundles play many important roles in complex analytic geometry. In the higher rank case, much less is known, but there have been important advances in the last 15 years. After a revie...
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...
I will discuss joint work with Marco Maculan in which we prove the Shafarevich conjecture for a large class of irregular varieties over number fields. Our proof combines the method of Lawrence-Sawin w...
I will describe a family of hyperplane arrangements in lattices of signature (n, 2) for which the graded rings of modular forms with poles on those hyperplanes are freely generated. The largest exampl...
In this talk we show how to apply the framework developed by Sam and Snowden to study structural properties (eg. bound on rank and order of torsion) of graph homologies, in the spirit of Ramos, Miyata...
In the first part of the talk I will discuss a "holographic" index theorem for compact manifolds with boundary. It relates the index of a boundary value problem to the index of an operator on the boun...
We prove that a smooth, complex plane curve of odd degree can be defined by a polynomial with real coefficients if and only if it is isomorphic to its complex conjugate; there are counterexamples in e...
Vertex algebras formalise the properties of what physicists would call operator product expansions (OPEs) in chiral conformal field theories (CFTs). One way to motivate the axioms of vertex algebras i...
The Hodge conjecture is a central problem in modern algebraic geometry. It is notoriously difficult to attack, and we still lack general evidence towards its validity. In my talk I will present a proo...
In the 80's Kudla and Millson introduced a theta function in two variables, nowadays known as the Kudla--Millson theta function. This behaves as a Siegel modular form with respect to one variable, and...
