Geometry, Topology, Dynamical Systems Seminar, AY 12-13
| Date | Speaker | Affiliation | Title | Abstract |
|---|---|---|---|---|
| Feb. 22 | Dr. Rachinskiy | Mathematical Sciences, UTD | A mechanism of mode locking in slow-fast delayed systems | – |
| Feb. 15 | M. Dabkowski | Mathematical Sciences, UTD | Kauffman Bracket Skein Module of a 3-manifold | – |
| Feb. 8 | Zelenko | Texas A&M | Geometry of nonholonomic distributions with given Jacobi symbol | This talk is devoted to a novel approach to geometry of vector distribution, based on the ideas from Optimal Control (the colloquium talk can be considered as an introductory and motivating for this talk but I will try to make the presentation here independent of the colloquium talk). This procedure allows one to reduce the problem to the (extrinsic) differential geometry of curves of flags of isotropic and coisotropic subspaces in a linear symplectic space. The extrinsic geometry of such curves is simpler in many respects than the original equivalence problem, because symbols of curves in flag varieties are simpler algebraic objects than the classical Tanaka symbols of distributions.In this way we define another basic invariant of distribution, the Jacobi symbol which is much coarser than the Tanaka symbol and, more importantly, discrete and classifiable. Then we describe the unified construction of the canonical frame for all distributions with given Jacobi symbol in terms of natural algebraic operations with this symbol. |
| Dec. 7 | A. Phung | – | The number of intersections of plane algebraic curves | – |
| Nov. 30 | T. Hagge | Mathematical Sciences, UTD | What is a 3-Manifold? | – |
| Nov. 9 | M. Dabkowski | Mathematical Sciences, UTD | Polynomial Knot Invariants | – |
| Nov. 2 | M. Dabkowski | Mathematical Sciences, UTD | Why knot? | – |
| Oct. 26 | V. Dragovic | Mathematical Sciences, UTD | Siebeck-Marden Theorem | – |