Event time:
Tuesday, March 29, 2011 - 12:30pm to Monday, March 28, 2011 - 8:00pm
Location:
431 DL
Speaker:
Jeff Danciger
Speaker affiliation:
Stanford University
Event description:
We introduce a geometric transition between two homogeneous three-dimensional geometries: hyperbolic geometry and anti de Sitter (AdS) geometry. Given a path of three-dimensional hyperbolic structures that collapse down onto a hyperbolic plane, we describe a method for constructing a natural continuation of this path into AdS structures. In particular, when hyperbolic cone manifolds collapse, the AdS manifolds generated on the “other side” of the transition have tachyon singularities. We also discuss combinatorial/algebraic tools for constructing transitions using ideal tetrahedra.