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...
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...
I will outline how to extend classical results in the theory of euclidean lattices to infinite rank. When applied to polynomial rings, these results will allow us to describe an analogue in arithmetic...
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...
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...
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...
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...
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...
Dopo alcuni richiami sull'approccio alla teoria delle deformazioni tramite DG algebre di Lie (o più in generale algebre L-infinito), ci concentreremo sullo studio delle deformazioni di un fascio coere...
