Vertex algebras are algebraic structures coming from two dimensional conformal field theory. This talk is about their relation with moduli spaces of Riemann surfaces. I will first review some backgro...
In the first part of the talk we will look at the optimal transport problem from two different approaches, analyzing some of their strengths, weaknesses and sketching the intuitions behind each one. S...
A fruitful way to produce examples of IHS varieties is to consider terminalizations of symplectic quotients of symplectic varieties. In a work in collaboration with A. Grossi, M. Mauri and E. Mazzon w...
Severi varieties parametrize integral curves of fixed geometric genus in a given linear system on a surface. In this talk, I will discuss the classical question of whether Severi varieties are irreduc...
The famous Weyl's Law computes the dimension and volume of a closed Riemannian manifold from the eigenvalue growth of its Laplacian. Bruning-Heintze and Connelly extended this theorem to manifolds wit...
In this talk we explore a few quiver grassmannians for the equioriented type A Dynkin quiver and for the equioriented cycle. These include the complete flag variety and its PBW degeneration, as well a...
In this talk, we consider a simple random walk defined on a Chung-Lu directed graph, an inhomogeneous random network that extends the Erdos Renyi random digraph by including edges independently accord...
Conformal field theory (CFT) provides a very powerful framework to study the large-scale properties of models of statistical mechanics at their critical point. The prototypical example of this is the ...
In this talk, I will go back to the origin of the minimal exponent and give a brief history on how it naturally arises in the context of integration over vanishing cycles (Arnold-Varchenko), counting ...
