## Date:

Tuesday, October 3, 2017, 4:00pm

## Location:

Jefferson 356

Title: Buildings, Surfaces, and Quaternions

Abstract: Buildings are exciting objects which have geometric, algebraic, and number theoretical aspects. We will give elementary constructions of several classes of buildings as universal covers of finite complexes. Then (as a geometric application) we will show a connection of our results with Gromov's surface subgroup question and (as an arithmetic application) we will give explicit examples of quaternionic lattices.