Given a set with a group action (a G-set), one can form the associated permutation representation. Two basic questions arise: when do two non-isomorphic G-sets give rise to isomorphic representations (such a pair of sets is called a Brauer relation)? And which representations are (virtual) permutation representations? There is a lot of literature on both of these questions, and even partial answers have lots of applications in number theory and geometry. In this talk, I will introduce the topic from scratch, will then explain a complete classification of Brauer relations (joint work with T. Dokchitser), and will partially answer the second question (also joint work with T. Dokchitser). There will also be lots of examples of number theoretic and geometric applications (some of them joint work with B. de Smit).
Donnerstag, den 11. Dezember 2014 um 17 Uhr c.t. Uhr, in INF 288, HS2 Donnerstag, den 11. Dezember 2014 at 17 Uhr c.t., in INF 288, HS2
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. G. Böckle