Reflexive Polygons, Complex Tori, and Elliptic Curves

Start: 11/04/2009 - 4:15pm
End  : 11/04/2009 - 5:15pm


Charles Doran University of Alberta and University of Washington


We'll start by investigating the combinatorial properties of certain special pairs of
polygons defined on a planar lattice. By reinterpreting these, after Isaac Newton, we
will relate them to algebraic equations. The variables in the algebraic equations are
naturally complex numbers and they describe a “complex torus”. The vanishing loci
of the algebraic equations are elliptic curves, whose basic geometric and topological
properties we will discuss. If time permits, we may also describe an application to
string theory.

Millikan Room 134, Pomona College

Misc. Information

Refreshments served at 3:45 p.m. upstairs in the Harry Mullikin Room 209
The dinner will be hosted by Professor Ursula Whitcher.
If interested in attending, call ext. 72844