Geometry and Topology
Nielsen-Olesen cosmic strings, the Einstein-Bogomol'nyi equations, and algebraic geometry
Y. Yang observed 20 years ago that the 2-sphere is the only compact orientable surface admitting sol
Stability conditions for (G,h)-constellations.
Given a reductive group G and an affine G-scheme X, constellations are G-equivariant sheaves over X
Complexified Hamiltonian symplectomorphisms and solutions of the homegeneous complex Monge-Ampere equation
The geodesics for the Mabuchi metric on the space of Kaehler metrics on a manifold correspond to sol
Computing lines in smooth cubic hypersurfaces and application to the irrationality problem
A smooth cubic hypersurface X of dimension >1 is unirational. The variety of lines F(X) on these hyp
Riemann-Hilbert correspondence for classical and for twistor D-modules
In this talk I will give an overview of the main concepts and results in D-module theory, and then s
Singularities of vector fields and the dimension of groups of holomorphic diffeomorphisms
The group of holomorphic diffeomorphisms, Aut(M), of a compact complex manifold M is a Lie group of
Ciconia metrics
We present a recent result about the Riemannian metric structure of the tangent manifold TM, the tot
Autoduality and Fourier-Mukai for compactified Jacobians
Among abelian varieties, Jacobians of smooth projective curves C have the important property of bein
The cohomology of the Hilbert scheme and of the compactified Jacobians of a singular curve
We generalize the classical MacDonald formula for smooth curves to reduced curves with planar singul