“The modular character ring and its associated
monomial Burnside ring, part II”

 

 

 

by

 

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