"On the Riemann-Hilbert correspondence"

Ponente: Mebkhout Zoghman
Institución: CNRS, Université Paris 7
Tipo de Evento: Researcher, Human Resource Training

When	Sep 02, 2015 from 12:00 PM to 01:00 PM
Where	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.