Wednesday, March 11, 20091:00 PM - 2:00 PMCNLS Conference Room (TA-3, Bldg 1690)|
Conserved quantities of planar contour dynamics
Alexander VasilievMathematical Institute, University of Bergen
We consider two types of contour dynamics in parallel. One is related to physical Hele-Shaw problem (or Laplacian growth). The other one is the Loewner evolution. Harmonic momenta are conserved for the first evolution and Virasoro generators are conserved for the second one. We discuss differences and similarities of these two constructions, deduce generating functions, reveal relations with Conformal Field Theory.
Host: Razvan Teodorescu