Wall-crossing for Donaldson-Thomas invariants | Vidéo | Carmin.tv

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Wall-crossing for Donaldson-Thomas invariants

By Tom Bridgeland

Appears in collection : Hodge theory, Stokes phenomenon and applications / Théorie de Hodge, phénomène de Stokes et applications

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.

Information about the video

Date of recording 11/04/2017
Date of publication 24/04/2017
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19158403
Cite this video BRIDGELAND, Tom (11/04/2017). Wall-crossing for Donaldson-Thomas invariants. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19158403
URL https://dx.doi.org/10.24350/CIRM.V.19158403

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Bibliography

Bridgeland, T. (2017). Riemann-Hilbert problems from Donaldson-Thomas theory. <arXiv:1611.03697> - https://arxiv.org/abs/1611.03697
Bridgeland, T. (2016). Hall algebras and Donaldson-Thomas invariants. <arXiv:1611.03696> - https://arxiv.org/abs/1611.03696
Bridgeland, T., & Toledano-Laredo, V. (2011). Stability conditions and Stokes factors. <arXiv:0801.3974> - https://arxiv.org/abs/0801.3974

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