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...
We study the degenerations of conical Kähler-Einstein metrics when the cone angle becomes small. In particular, in the Fano case, we solve a question of Donaldson (2012). Joint work with Henri Guenanc...
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...
A divisibility sequence is a sequence of integers d_n such that, if m divides n, then d_m divides d_n. Bugeaud, Corvaja, Zannier showed that pairs of divisibility sequences of the form a∧n−1 have only...
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...
