Date: Tuesday, January 23, 2018
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Representing curves
Abstract: A complex algebraic curve can be realized as either 1) a quotient of the hyperbolic plane by a discrete subgroup of PSL_2(R), or 2) a quotient of sphere, minus some bad points, by a discrete subgroup of PSL_2(C). More recently, it was discovered that you can similarly describe an algebraic curve over a nonarchimedean field K, by looking at discrete subgroups of PSL_2(K) and a natural space on which it acts. These curves are known as Mumford curves. We will go over all three constructions in this talk.
Files:
Speaker: Harry Richman
Institution: University of Michigan
Event Organizer: Trevor Hyde tghyde@umich.edu
