I will discuss joint work with Chris Peters which extends rigidity results of Arakalov, Faltings and Peters to period maps arising from families of complex algebraic varieties which are non-necessaril...
Gromov-Witten invariants are defined via intersection theory on Kontsevich's space of stable maps. The latter is very singular, with many irreducible components of different dimensions. As a consequen...
We introduce a monoidal analogue of Jantzen filtrations in the framework of monoidal categories with generic braidings. It leads to a deformation of the multiplication of the Grothendieck ring. We con...
A 3-dimensional del Pezzo fibration \( X\to C \) is one of the possible outcomes of the MMP. One aims to study the birational geometry of \( X \) in terms of the generic fibre \( X_{k(C)} \) and the b...
I will describe some local-global principles used in the study of rational points on algebraic varieties, and the Brauer-Manin obstruction which can explain failures of these local-global principles. ...
I will discuss some questions on plane curves which involve logarithmic vector fields and provide a new viewpoint on classical problems and results....
We will discuss modular compactifications of M_{g,n} (the moduli space of smooth curves) and their birational geometry within the framework of the Hassett-Keel program. We classify the open substacks ...
We will discuss the general notion of symplectic duality (also known as 3D mirror symmetry) between symplectic resolutions of singularities. We will give examples of dual varieties such as Higgs and C...
Le varietà log-omogenee sono state introdotte da Brion nel 2007, come generalizzazione delle varietà algebriche complesse omogenee complete. Queste ultime sono descritte dal Teorema di Borel-Remmert c...
The Fröhlich polaron and related models of quantum field theory have played a prominent role in mathematical physics over several decades. In this talk, we shall explain recent bounds on the quantum c...
