I will report on a joint work with Mattia Ornaghi and Paolo Stellari, where we prove that, over an arbitrary commutative ring, the localizations with respect to quasi-equivalences of the categories of...
Quantizing the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce factorially divergent series in the Planck constant and its inverse....
Linear series on smooth curves parametrize invertible sheaves together with linear subspaces of their global sections. This has been generalized to nodal curve of compact type by Eisebud-Harris and Os...
Enhanced ind-sheaves describe the Betti side of the irregular Riemann-Hilbert correspondence, in a manner compatible with Grothendieck's operations. In this way, classical constructions on the de Rham...
The Donaldson-Thomas invariants count stable coherent sheaves on Calabi-Yau 3-folds which were introduced by Thomas around 1998. Later Joyce-Song, Kontsevich-Soibelman and Davison-Meinhardt introduced...
Modified Patankar-Runge-Kutta (MPRK) schemes are numerical methods for the solution of positive and conservative production-destruction systems. They adapt explicit Runge-Kutta schemes in a way to ens...
We are interested in obtaining local nets in the sense of Haag--Kastler from unitary representations of a connected Lie group G. A natural sets of axioms naturally leads to a causal structure on M. We...
I shall discuss the existence of infinite-dimensional invariant tori in a mechanical system made of infinitely many rotators weakly interacting with each other. I shall concentrate on interactions de...
