After explaining what are Ulrich bundles and why they are interesting, I'll focus on the major problem in the subject: the existence of a Ulrich bundle on any projective variety. I'll explain how the standard constructions of rank 2 bundles give a positive answer for some surfaces and threefolds.

An Introduction to Ulrich Bundles

Intervenant(s)

Arnaud Beauville

Événements

An Introduction to Ulrich Bundles

K3 Surfaces Of Genus 14 via Cubic Fourfolds

Git Versus BB Compactification for the Moduli Space of Quartic Surfaces

The Global Torelli Theorem for Cubic Fourfolds via the Jacobi Ring and the Derived Global Torelli Th…

Extension of Holomorphic Functions Defined on Non Reduced Analytic Subvarieties

From Birational Transformations to Regular Automorphisms

Tautological Classes on the Moduli Space of K3 Surfaces

Intermediate Jacobians and Hyperkahler Manifolds

Moduli of Stable Varieties

Polarized Halphen Surfaces and du Val Curves

Unexpected Isomorphisms Between Hyperkähler Fourfolds

Measures of Irrationality for Hypersurfaces of Large Degree

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