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“The modular character
ring and its associated

monomial Burnside ring, part II”

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LAURENCE BARKER

(Bilkent University)

__Abstract:__ When the
scalar field is algebraically closed, Boltje's canonical
induction formula provides a canonical way of lifting characters to elements of
the monomial Burnside ring. A crucial component of the theory is an integrality property, a guarantee that the formula is a map
of integral lattices, not just a map of vector space extensions of the lattices.
We shall discuss Symonds' proof of integrality which, in characteristic zero, realizes the Boltje lifting as a kind of
monomial Lefschetz invariant of the projective
fibre-bundle associated with the module. We shall explain how his proof also
applies to the modular scenario.

Date : October 5, 2009 (Monday)

Time : 14:40-15:30

Place: Seminar Room SA-141