Albion College
Mathematics and Computer Science
COLLOQUIUM
Group Actions on Curves
Darren B. Glass
VIGRE/Ritt Assistant Professor
Department of Mathematics
Columbia University
New York, NY
Algebraic Geometry is the study of curves which are defined by polynomial equations. Some of these curves have special properties, such as the existence of a group action on the curve. These group actions correspond to nice symmetries in the curve, and are useful in calculating certain invariants. This talk will define all of these terms, and give many examples of such actions. In particular, we will look at the elliptic curves which were recently made famous in the proof of Fermat's Last Theorem, and generalizations such as the hyperelliptic and superelliptic curves.
4:10 PM
All are welcome!
Norris 109
January 13, 2005