Marian Gidea, Mathematics, Northeastern Illinois University
"Topological methods in the Arnold diffusion problem"
Time: 5:00 PM
Location: CoRe 433
Abstract: We discuss some geometric and topological methods that are applied
to overcome the large gap problem in Arnold diffusion for a priori unstable
Hamiltonian systems. The geometric methods rely on the theory of normally
hyperbolic invariant manifolds and on the scattering map. The topological
methods rely on correctly aligned windows, and on the connecting orbits of
Birkhoff and Mather for twist maps. We will illustrate these methods in an
example based on the spatial circular restricted three-body problem.
Wednesday, December 2nd
Alexander Grosberg, Physics, NYU
"Knots in proteins"
Time: 3:30 PM
Location: CoRe 433
Abstract:
Proteins with knots in their native state were discovered few years ago. Analysis of the entire protein data base indicates that there are quite a few proteins with knots, particularly with slip knots, but still the fraction of proteins with knots appears much lower than one would expect from random polymers of the same length, thickness, flexibility, and compactness.
Wednesday, December 2nd
Daniel Koditschek, Electrical and Systems Engineering, Univ. of Pennsylvania
"TBA"
Time: 2:00 PM
Location: CoRe 433
Wednesday, November 4th
Special Topology: Identifying Order in Complex Systems
Sarah Day, College of William & Mary
"Computational Topology in the Study of Discrete Dynamical Systems"
Time: 3:30 PM
Location: IAS S-101
Abstract: This is a joint seminar with IAS, Princeton
Wednesday, November 4th
Special Topology: Identifying Order in Complex Systems
Gunnar Carlsson, Stanford University
"Functoriality, Generalized Persistence, and Hierarchy"
Time: 2:00 PM
Location: IAS S-101
Abstract: This is a joint seminar with IAS, Princeton
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