A report on "Regulators of canonical extension are torsion; the smooth divisor case"
Jaya NN Iyer
Abstract:In this note, we report on a work jointly done with C. Simpson on a generalization of Reznikov's theorem which says that the Chern-Simons classes and in particular the Deligne Chern classes (in degrees > 1) are torsion, of a flat vector bundle on a smooth complex projective variety. We consider the case of a smooth quasi-projective variety with an irreducible smooth divisor at infinity. We define the Chern-Simons classes of the Deligne's canonical extension of a flat vector bundle with unipotent monodromy at i… Show more
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