Title: Representation stability and finite linear groups Speaker: Stephen Sam (University of Wisconsin)
Time: Thursday, March 23, 2017 at 4:00 pm Place: MONT 214Abstract: Homological stability is the phenomenon in which the homology of a sequence of objects eventually becomes constant; representation stability is a generalization of this phenomenon when the objects have group actions. I will give an introductory overview of this and then discuss joint work with Andrew Putman in which the groups are finite linear groups like SL_n(Z/l) and the objects are congruence subgroups of various kinds. The techniques use ideas from commutative algebra and topology but I will keep the technicalities to a minimum.