PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yakov Pesin, Sergei Tabachnikov.

Title:Topology and Integrability
Seminar:Department of Mathematics Colloquium
Speaker:Alexander Veselov, Department of Mathematical Sciences, Loughborough University, UK
Abstract:
The theory of completely integrable systems goes back to the classical works of Jacobi on the geodesic flow on ellipsoids and the Poncelet Porism describing the billiard system in ellipses. A resurgence of interest in integrable systems came with the discovery, in the late 1960s, that solitons --localized solutions of partial differential equations like the Korteweg–de Vries equation -- could be understood by viewing these equations as infinite dimensional integrable systems. Since then, completely integrable systems remain on the forefront of contemporary research in mathematics and mathematical physics. A fruitful interaction between topology and theory of integrable systems was known for a long time, although it was not always explicitly emphasized. I will demonstrate this using a few examples from elementary Morse theory. The talk will be accessible to graduate students and non-specialists.

Room Reservation Information

Room Number:MB114
Date:09 / 13 / 2012
Time:03:35pm - 04:25pm