This is a list of all upcoming talks for the next two weeks. Talks are from 3:45-4:45 p.m. in the Colloquium or Seminar Room, unless otherwise specified.
Dimension Breaking and Numerical ContinuationBen AkersAirforce Institute of TechnologyApplied Math SeminarNumerical methods for computing overturned traveling waves in the vortex sheet equations will be discussed. The extreme cost of simulation of this system motivates the use of dimension-breaking numerical continuation. The numerical method's strength, weaknesses and structure will be evaluated, both in the vortex sheet equations and weakly nonlinear models. The need for, and utility of, local and global bifurcation theorems in this area will be discussed. A sampling of these theorems in the vortex sheet setting will be reviewed.
Continuous Orbit Equivalence and Continuous Cocycle RigidityKostya MedynetsTime: 03:45 PMOperator Algebras and Dynamics SeminarsIn the 1980s, Mike Boyle proved that whenever two minimal Z-actions on the Cantor set are continuous orbit equivalent, they are automatically conjugate. Results of this nature are referred to as continuous orbit equivalence rigidity. In the talk, we will discuss the phenomena of continuous orbit equivalence rigidity and continuous cocycle rigidity and what systems are known to exhibit them.