School of Mathematics

Homological mirror symmetry postulates a derived equivalence between the wrapped Fukaya category of an exact symplectic manifold and a category of coherent sheaves or matrix factorizations on a mirror space. This talk will provide an introduction to...

Recently, a certain "monotone" version of the constraint satisfaction problem has proved an extremely useful tool for attacking problems in circuit, communication, and proof complexity theory. In this talk we discuss this version of the constraint...

Combinatorial geometry is a field that studies combinatorial problems that involve some simple geometric objects/notions, such as: lines, points, distances, collinearity. While such problems are often easy to state, some of them are very difficult...

Recently, a certain "monotone" version of the constraint satisfaction problem has proved an extremely useful tool for attacking problems in circuit, communication, and proof complexity theory. In this talk we discuss this version of the constraint...

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.