Seminars

Hodge numbers attached to confluent hypergeometric functions

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Seminars

2017-10-18
14:00:00 - 15:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



Given an irreducible and rigid confluent hypergeometric connection with real parameters, Sabbah shows that it underlies a unique variation of irregular Hodge structures up to a twist by a constant rank one irregular Hodge structure. We determine the Hodge numbers of such a connection by realizing its fiber as the de Rham cohomology of a unitary connection on a torus twisted by an exponential. (Joint work with N.Tsuzuki.)