In questo seminario, parlerò di alcuni risultati e idee recenti nello studio della limitatezza delle varietà, in collaborazione con Di Cerbo, Birkar e Di Cerbo, e Filipazzi e Hacon. In particolare, mi...
I will give an overview about topology of CAT (0) manifolds and will explain why in four dimensions every such manifold is homeomorphic to the Euclidean space. This is a joint work with Nagano-Stadler...
La dicotomia tra funzioni zeta di Dedekind e funzioni zeta parziali associate a un campo di numeri si estende formalmente a certi valori zeta in campi globali di caratteristica positiva (lavori di And...
One of the simplest examples of W-algebras is the Bershadsky-Polyakov vertex algebra W∧k(g,f), associated to g=sl(3) and the minimal nilpotent element f. We study the simple Bershadsky-Polyakov algebr...
Why do some polynomial equations have only finitely many solutions in the integers? Lang-Vojta's conjecture provides a conjectural answer and relates this number-theoretic question to complex geometry...
Finite W-algebras are a finite collection of filtered algebras associated to each complex semisimple Lie algebra, which have interesting applications to the classification of primitive ideals in envel...
In this talk, I will give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals. I will also c...
We prove the uniform stability of some smooth DM stacks obtained by further ramifying the moduli stack of stable curves over the Deligne-Mumford boundary divisor and apply this construction to prove t...
Parleremo di un risultato di struttura per alcune varietà di Fano (complesse e lisce), che dipende dal difetto di Lefschetz δ(X), un invariante di X definito nel modo seguente. Consideriamo un divisor...
The Yamabe problem is a classical problem about how to find Riemannian metrics of constant scalar curvature. This problem can be written as a PDE with unique positive solutions. On the other hand, the...
