Koszul duality is a fundamental phenomenon in mathematics. In its original form, it gives a derived equivalence between the module category of a Koszul algebra A and its Koszul dual A!. Koszul algebra...
La trasformata di Fourier trasforma funzioni periodiche nella serie delle sue frequenze, chiamata serie di Fourier. Algebricamente si può generalizzare la trasformata per decomporre i moduli, su anell...
We are interested in climate models introduced by Sellers in 1969 which takes the form of some nonlinear parabolic equation with a degenerate diffusion coefficient. We investigate here some inverse pr...
The YTD conjecture predicts that the existence of "canonical" Kähler metrics on a polarized projective manifold is governed by a purely algebro-geometric notion known as K-stability. Recently, solutio...
Controlling the quantum state of isolated or interacting correlated atoms has emerged as a promising research field in modern quantum information science. In particular, engineering methods for the hi...
In this talk, we present a strong form of the quantitative fractional isoperimetric inequality. In particular, we show that the square root of the fractional isoperimetric deficit controls not only th...
The purpose of this talk will be to analyze the 2d Navier-Stokes equations in a half plane with no-slip boundary conditions, when the initial vorticity is a Dirac mass (point vortex) located at finite...
We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum...
The bounded derived category of coherent sheaves on a smooth
projective variety X is an invariant that encodes several geometric
properties of the variety. Remarkable invariants are the
topological...
The bounded derived category of coherent sheaves on a smooth
projective variety X is an invariant that encodes several geometric
properties of the variety. Remarkable invariants are the
topological...
