Monodromy for a large class of Hurwitz-Belyi maps

David Roberts
University of Minnesota, Morris
Friday, October 27, 2017 -
2:30pm to 3:30pm
Vincent Hall 207

Hurwitz varieties covering configuration varieties are important objects in mathematics, with monodromy described via permutation representations of braid groups. In the case of the curves, the maps can be normalized to be Belyi maps, meaning that the base becomes just C-{0,1} and monodromy can be described by giving two permutations. The talk will present a uniform formula explicitly giving the monodromy of a large class of these Hurwitz-Belyi maps simultaneously. Many pictorial examples will be given, illustrating both the monodromy formula itself and related phenomena.