"On the Riemann-Hilbert correspondence"
Ponente: Mebkhout Zoghman
Institución: CNRS, Université Paris 7
Tipo de Evento: Investigación, Formación de Recursos Humanos
Institución: CNRS, Université Paris 7
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo |
02/09/2015 de 12:00 a 13:00 |
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Dónde | Auditorio Alfonso Nápoles Gándara, Edificio nuevo del Instituto de Matemáticas |
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Abstract: Lecture I
« On the Riemann-Hilbert correspondance »
Il the first lecture we recall the notion of a singular point of a differential equation on
a Riemann surface and we state the Local R-H correspondance in this case. Then we
recall the Bolibrough contre-example tho the Global R-H correspondance on the complex
projective line.
Then we shift two the case of a complexe surface. We define the notion of a regular
meromorphic connexion and we state the local R-H correspondance and the strategy
of proof and we recall the necessary new tools.Then we state a problem on the
complex plane of a global nature for irreducible representations of the fondamental
group which generalize the case of the complex projectif line.