Some Eisenstein Cohomology Classes for the Integral Unimodular Group

Madhav V. Nori
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Madhav V. Nori: University of Chicago, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 690-696 from Springer

Abstract: Abstract Vector-valued differential forms are frequently used to give cohomology classes on manifolds with values in local systems. In particular, certain automorphic forms serve this purpose on certain locally symmetric spaces. Such as representation does not help in deciding whether of not the cohomology class is rational. For example the normalized holomorphic Eisenstein series of weight 2k on the upper half plane gives an elt. of H1 (SL2, Sym3k-2 ℂ2), thanks to Eichler. That this comology class is rational was proved by Deligue using weight considerations. A direct proof of this follows from the work of Beilinson and Levin on the elliptic polylogarithm.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_62

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