Aarhus University Seal / Aarhus Universitets segl

Gluing of Self-Similar Solitons

Niels Martin Møller
Analysis Seminar
Thursday, 29 August, 2013, at 15:15, in Aud. D4 (1531-219)
The talk will explain some gluing constructions in the theory of geometric evolutions via nonlinear parabolic PDEs, such as the mean curvature flow (or Ricci flow). For solitons (such are singularity models for the flows), these procedures (some of which originated in the theory of minimal surfaces) yield rigorous ways of obtaining - starting from much simpler solitons - many new examples of solitons of nontrivial topology. For example, one may construct complete, embedded mean curvature flow self-similar shrinking solitons (i.e. "self-shrinkers") of large genus, as expected in numerics by Tom Ilmanen in the early 90's. Some of this material is joint with Nicos Kapouleas and Stephen Kleene.
Contact person: Bent Ørsted