Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki]

Details Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki] Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki]

2012-01-22

arxiv.org/abs/1201.4531v1

Mathematics

Algebraic Geometry

35 pages. Bourbaki talk, Jan. 21, 2012. In French

Scientific paper

T. Mochizuki constructs a theory of variations of wild Hodge structure for which the underlying flat connection can have irregular singularities at infinity. He extends in this way the correspondence of Corlette and Simpson between irreducible flat bundles and stables Higgs bundles, taking into account objects with irregular singularities. As an application, he proves a conjecture of Kashiwara concerning a generalization of the Hard Lefschetz theorem when the coefficients are the de Rham complex of a simple holonomic D-module on smooth complex projective variety.

Affiliated with

Also associated with

No associations

Rating

Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki] does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki], we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wild Hodge theory and Hitchin-Kobayashi correspondence [after T. Mochizuki] will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482715