11-12 décembre 2017
Université Pierre et Marie Curie Paris 6
Fuseau horaire Europe/Paris

Pluri-Hodge Decomposition and Associated Jacobian

12 déc. 2017 à 11:00
50m
Amphi Astier (Université Pierre et Marie Curie Paris 6)

Amphi Astier

Université Pierre et Marie Curie Paris 6

4, place Jussieu 75252 Paris Cedex 05

Orateur

Prof. Y-T. Siu (Univesity of Harvard)

Summary

The deformational invariance of the m-genus, the dimension of H⁰(X;mK_X), is known for the case of a compact complex algebraic manifold X and is conjectured for the case of a compact Kähler manifold. For m=1, the deformational invariance in the Kähler case follows from the Hodge decomposition. The question arises whether H⁰(X;mK_X)) for m≥2 is naturally a direct summand of the cohomology group of some flat bundle so that the deformational invariance of the m-genus can be explained in terms of such a "pluri-Hodge decomposition". The talk will discuss the question, starting with the case of a compact Riemann surface, and study the construction of jacobians associated to such a "pluri-Hodge decomposition" for a compact Riemann surface.

Documents de présentation

Aucun document.
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