On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles

Mochizuki, Takuro

Annales de l'Institut Fourier, Tome 59 (2009) no. 7, pp. 2819-2837.

Nous donnons un sommaire du développement récent de l’étude sur les réseaux de Deligne-Malgrange et la résolution des tournants pour les connexions méromorphes plates algébriques. Nous expliquons également leur relation avec les fibrés harmoniques sauvages. L’auteur espère que ce sera utile pour l’accès à son travail sur les fibrés harmoniques sauvages.

In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.

Classification : 14J60, 32C38, 53C07
Keywords: Harmonic bundle, meromorphic flat bundle, Deligne-Malgrange lattice
Mot clés : fibrés harmoniques, connexions méromorphies plates, réseau de Deligne-Malgrange

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