The Geometry of Groups and Real Trees. The methods used are a mixture of techniques from E. Rips's theory of real trees and from the train track theory of Bestvina and Handel. . The Principal Investigator will also examine to what extent the JSJ theorem of Rips and Z. Sela can be extended to splittings over other than cyclic groups. Now is an exciting time to be a geometric group theorist.
Much beautiful mathematics is devoted to classification results.
Inspired by these manifold successes, mathematicians have begun to look at groups from a geometric viewpoint. Mathematics has arrived at the point where the possibility of a . . . More on THIS Work .