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
|Date:||09 / 13 / 2012|
|Time:||03:35pm - 04:25pm|