In this talk, we first introduce the notion of a continuous
cover of a manifold parametrised by any compact manifold
endowed with a mass 1 volume-form. We prove that any such cover
admits a partition of unity where the usual sum is replaced
by...
We present a full $h$-principle (relative, parametric,
$C^0$-close) for the simplification of singularities of Lagrangian
and Legendrian fronts. More precisely, we prove that if there is no
homotopy theoretic obstruction to simplifying the...
Abstract: In this talk we will report on joint work in progress
with Mohammed Abouzaid concerning homological mirror symmetry for
hypersurfaces in (C*)^n, namely, comparing the derived category of
the hypersurface and the Fukaya category of the...
Abstract: Within an emerging approach to Fukaya categories via
cohomology with categorical coefficients, I will outline a theory
of a particularly nice class of nonconstant coefficient systems
defined on Riemann surfaces. These are categorical...
Abstract: Mirror symmetry has led to deep conjectures regarding the
geometry of Calabi-Yau manifolds. One of the most intriguing of
these conjectures states that various geometric invariants, some
classical and some more homological in nature, agree...
Abstract: In this talk we will combine classical mathematical
structures and we will look at them from a new prospective.
Applications to geometry will be considered.
Abstract: We study the effective BV quantization theory for chiral
deformation of two dimensional conformal field theories. We
establish an exact correspondence between renormalized quantum
master equations for effective functionals and Maurer...
Abstract: I will describe descent formalism in categorical
non-commutative geometry which is geared towards constructions of
Fourier–Mukai functors. The formalism allows one to carry out
descent constructions in general algebraic and analytic...
Abstract: In this talk reporting on joint work with K. Rietsch and
L. Williams, I will explain a new version of the construction by
Rietsch of a mirror for some varieties with a homogeneous Lie group
action. The varieties we study include quadrics...
Abstract: I'll give an overview of basic concepts about B-branes
and their central charges and how they arise in physics and
mathematics. In particular I'll present the gauge linear model
approach which allows for defining quantities in the full...
