I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...
Abstract: Quantum computers exploit the incredible possibilities of quantum mechanics to significantly enhance computing power, compared with the computers currently available based on a conventional ...
Abstract: Una varietà complessa compatta X è iperbolica nel senso di Kobayashi se e solo se ogni applicazione olomorfa intera dal piano complesso verso X è costante.Trattasi di una proprietà squi...
Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...
We consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and diffusion. First order optimality con...
The interacting Bose gas is a system in quantum statistical mechanics where a collective behavior emerges from the underlying many-body theory, posing interesting challenges to its rigorous mathematic...
Niels Bohr è certamente uno dei grandi protagonisti della fisica del XX secolo. La tradizione ha definito in suo onore quella che sarebbe diventata per molti decenni l’interpretazione canonica della t...
We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use techniques from ellip...