Maps with Values into S^1 and Minimal Connections

JOINT ANALYSIS SEMINAR
Topic:Maps with Values into S^1 and Minimal Connections
Speaker:Augusto Ponce
Affiliation:IAS and Princeton University
Date:Thursday, March 31
Time/Room:4:00pm - 5:00pm/Fine Hall 214

Maps in W^{1,1} from the sphere S^2 into the circle S^1 can have, at most, countably many topological singularities. I will present some techniques which allow us to localize and quantify those "defects". Joint work with H. Brezis and P. Mironescu.