- Series
- Research Horizons Seminar
- Time
- Wednesday, September 3, 2014 - 12:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dr. Dan Margalit – Georgia Tech Math Department – http://people.math.gatech.edu/~dmargalit7/
- Organizer
- Alexander Hoyer
Here is a classical theorem. Consider a bijection (just a set map!)
from the Euclidean plane to itself that takes 0 to 0 and takes the
points on an arbitrary line to the points on a (possibly different
line). The theorem is that such a bijection always comes from a linear
map. I'll discuss various generalizations of this theorem in geometry,
topology, and algebra, ending with a discussion of some recent, related
research on the topology of surfaces.