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On Hitchin's hyperkähler metric on moduli spaces of Higgs bundles
Multi angle
Authors : Neitzke, Andrew (Author of the conference)
CIRM (Publisher )
32Q20 - Kähler-Einstein manifolds
53C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
53C26 - Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
81T13 - Yang-Mills and other gauge theories
81T60 - Supersymmetric field theories
CIRM (Publisher )
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Abstract :
I will review a conjecture (joint work with Davide Gaiotto and Greg Moore) which gives a description of the hyperkähler metric on the moduli space of Higgs bundles, and recent joint work with David Dumas which has given evidence that the conjecture is true in the case of $SL(2)$-Higgs bundles.
Keywords : hyperkähler metric; moduli space; Higgs bundle; hyperkähler structure; hyperkähler quotient; Hermitian-Einstein metric; stable vector bundle; Riemann surface; Abelian Higgs model
MSC Codes : Keywords : hyperkähler metric; moduli space; Higgs bundle; hyperkähler structure; hyperkähler quotient; Hermitian-Einstein metric; stable vector bundle; Riemann surface; Abelian Higgs model
32Q20 - Kähler-Einstein manifolds
53C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
53C26 - Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
81T13 - Yang-Mills and other gauge theories
81T60 - Supersymmetric field theories
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/06/2018 Conference Date : 19/06/2018 Subseries : Research talks arXiv category : High Energy Physics ; Differential Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:58:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-06-19_Neitzke.mp4 
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Information on the Event
Event Title : Gauge theory and complex geometry / Théorie de jauge et géométrie complexeEvent Organizers : Bradlow, Steven B. ; Schmidt, Alexander ; Teleman, Andrei Dates : 18/06/2018 - 22/06/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1747.html
Citation Data
DOI : 10.24350/CIRM.V.19416703Cite this video as: Neitzke, Andrew (2018). On Hitchin's hyperkähler metric on moduli spaces of Higgs bundles. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19416703 URI : http://dx.doi.org/10.24350/CIRM.V.19416703 |
See Also
- [Multi angle] The large scale geometry of the Higgs bundle moduli space / Author of the conference Swoboda, Jan.
- [Multi angle] The ends of the Hitchin moduli space / Author of the conference Fredrickson, Laura.
- [Post-edited] The Verlinde formula for Higgs bundles / Author of the conference Andersen, Jorgen Ellegaard.
- [Multi angle] On the motive of the stack of vector bundles on a curve / Author of the conference Hoskins, Victoria.
Bibliography
- Dumas, D., & Neitzke, A. (2018). Asymptotics of Hitchin's metric on the Hitchin section.
- Gaiotto, D., Moore, G.W., & Neitzke, A. (2011). Wall-crossing, Hitchin Systems, and the WKB Approximation.
