swartz@watdcsu.waterloo.edu ( SWARTZ SJ - COMBINATORICS Swartz OPT. ) (09/14/89)
C & O SEMINAR =========================================== | | |DATE: Friday, September 22, 1989 | | | |TIME: 3:30 p.m. | | | |PLACE: MC5158 | | | |SPEAKER: Dr. Laurent Habsieger | | Universite de Quebec a Montreal | | | |TITLE: Group representation theory and | | the easier Waring problem | |==========================================| ABSTRACT It is useful in number theory to get identities that express x as sums or differences of k-powers. The main tool used before was the Tarry-Escott prob- lem. Recently Vaserstein extended a formula due to Rao to get better identities. We notice that these two identities are related to permutation groups. We develop a theory that allows us to find brand-new identities, for any representation of any finite group.