MS Seminar (Mathematics - String Theory)

Speaker: Tathagata Basak (Iowa State U)
Title: Finding nice generators for braid-like groups
Date (JST): Tue, Aug 04, 2015, 13:15 - 14:45
Place: Seminar Room A
Abstract: Let X be either the complex affine space or the complex hyperbolic space. Let G be a discrete group acting on X by isometries. Let D be the co-dimension one strata of the set of points of X that have non-trivial stabilizer in G. We shall describe a theorem that lets us find ``nice” generators for the fundamental group of (X - D)/G in some cases. We shall apply the this theorem to a particular group G acting on the 13 dimensional complex ball X. This particular group action is of interest to us because of the ``Monstrous proposal” conjecture thatrelated the the 13 dimensional complex hyperbolic orbifold (X-D)/G and the monster simple group. This is joint work with Daniel Allcock.