29 November 2017, 12.00 – 13.30h

Claire Voisin, Còllege de France

UPC, School of Mathematics & Statistics, Sala d’Actes

Hyper-Kähler geometry

Kähler geometry is a natural extension of complex projective geometry where the tools of Hodge theory are still available and allow to study the link between topology and complex geometry.

The simplest examples of projective complex manifolds deforming to non-projective ones are the abelian varieties (complex tori) of dimension at least 2. The subject of the lecture will be hyper-Kähler (or quaternionic) manifolds, which also share this property. This geometry was discovered by Beauville on the basis of Yau’s fundamental work on existence of Kähler-Einstein metrics. Although this geometry may seem extremely restricted, there are many (families of) examples, all built via algebraic geometry.

Registration required.

november 23, 2017

Michel Ledoux

UB, Maths Faculty.
T1 Classroom

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