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
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