Three talks on noncommutative geometry@n

Abstract

Notes of three talks given at the workshop 'Hilbert schemes, non-commutative algebra and the McKay correspondence' CIRM-Luminy (France) October 2003. If A is an order over a central normal affine variety X having a stability structure such that the variety of all semi-stable A-representations is a smooth variety, then the corresponding moduli space is a partial desingularization of X and we have a complete classification of the remaining singularities.

54 pages

Cited by in corpus (5)

• Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds
• Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck
• Partial Desingularizations Arising from Non-Commutative Algebras