Event
Higgs bundles, Harmonic Maps and Twistor lines| Title of the event | Higgs bundles, Harmonic Maps and Twistor lines |
| Series | MathematischeGesellschaft |
| Organizer | Mathematisches Institut |
| Speaker | Markus Röser |
| Speaker institution | Universität Hamburg, Fachbereich Mathematik |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | The moduli space of Higgs bundles on a Riemann surface is a (usually singular) hyperkähler manifold that plays a prominent role in many areas of mathematics and mathematical physics. We will review the non-abelian Hodge theorem which gives a correspondence between Higgs bundles and harmonic metrics and interpret it in terms of the hyperkähler geometry of the moduli space. Using twistor theory, we may view a harmonic metric as a real holomorphic section of the twistor fibration associated with the moduli space. Our main result is the existence of holomorphic sections that cannot be obtained from harmonic metrics, although they obey the same reality condition. This answers a question by Carlos Simpson. This is joint work with Florian Beck, Indranil Biswas and Sebastian Heller. |
| Date | Start: 24.01.2019, 16:15 Uhr Ende: 24.01.2019 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer |
| Contact |
0551397752 annalena.wendehorst@mathematik.uni-goettingen.de |