CIRM - Videos & books Library - Wall-crossing for Donaldson-Thomas invariants

Post-edited

Auteurs : Bridgeland, Tom (Auteur de la Conférence)
CIRM (Editeur )

Loading the player...

wall-crossing iso-Stokes deformations Calabi-Yau categories stability condition Donaldson-Thomas invariants Kontsevich-Soibelman wall-crossing formula Riemann-Hilbert problem questions of the audience

Résumé : There is a very general story, due to Joyce and Kontsevich-Soibelman, which associates to a CY3 (three-dimensional Calabi-Yau) triangulated category equipped with a stability condition some rational numbers called Donaldson-Thomas (DT) invariants. The point I want to emphasise is that the wall-crossing formula, which describes how these numbers change as the stability condition is varied, takes the form of an iso-Stokes condition for a family of connections on the punctured disc, where the structure group is the infinite-dimensional group of symplectic automorphisms of an algebraic torus. I will not assume any knowledge of stability conditions, DT invariants etc.

Codes MSC :
14D20 - Algebraic moduli problems, moduli of vector bundles
14F05 - Sheaves, derived categories of sheaves and related constructions
18E30 - Derived categories, triangulated categories
32G15 - Moduli of Riemann surfaces, Teichmüller theory
81T20 - Quantum field theory on curved space backgrounds

Informations sur la Vidéo

Réalisateur :

Hennenfent, Guillaume

Langue :

Date de publication :

Date de captation :

Sous collection :

arXiv category :

Domaine :

Format :

Durée :

Audience :

Download :

https://videos.cirm-math.fr/2017-04-11_Bridgeland.mp4

Informations sur la Rencontre

Nom de la rencontre : Hodge theory, Stokes phenomenon and applications / Théorie de Hodge, phénomène de Stokes et applications
Organisateurs de la rencontre : Hertling, Claus ; Sabbah, Claude ; Sevenheck, Christian
Dates : 10/04/17 - 14/04/17
Année de la rencontre : 2017
URL Congrès : http://conferences.cirm-math.fr/1585.html

Données de citation

DOI : 10.24350/CIRM.V.19158403
Citer cette vidéo: Bridgeland, Tom (2017). Wall-crossing for Donaldson-Thomas invariants. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19158403
URI : http://dx.doi.org/10.24350/CIRM.V.19158403

Voir aussi

[Multi angle] On the Riemann-Hilbert correspondence for irregular holonomic D-modules / Auteur de la Conférence D'Agnolo, Andrea.
[Multi angle] Exponential motives / Auteur de la Conférence Fresán, Javier.
[Multi angle] Semi-infinite Hodge structures in noncommutative geometry / Auteur de la Conférence Shklyarov, Dmytro.
[Multi angle] Skeletons and moduli of Stokes torsors / Auteur de la Conférence Teyssier, Jean-Baptiste.

Bibliographie

Bridgeland, T. (2017). Riemann-Hilbert problems from Donaldson-Thomas theory. - https://arxiv.org/abs/1611.03697

Bridgeland, T. (2016). Hall algebras and Donaldson-Thomas invariants. - https://arxiv.org/abs/1611.03696

Bridgeland, T., & Toledano-Laredo, V. (2011). Stability conditions and Stokes factors. - https://arxiv.org/abs/0801.3974

Bridgeland.jpg

Player

Sélection Signaler une erreur

TUTELLES

PARTENAIRES

Destination de la recherche

Raccourcis

Voir aussi