|Speaker:||Lev Sukhanov (HSE Moscow)|
|Title:||Morse theory for a pair of commuting vector fields|
|Date (JST):||Thu, May 23, 2019, 13:30 - 15:00|
|Place:||Seminar Room B|
Consider the integral surfaces of a pair of commuting vector fields on a real manifold M. It is natural to consider combinatorics of its degenerations and ask what kind of algebraic structure it leads to, similar to the well known case of the Morse complex in the standard Morse theory.
It turns that the algebraic structure this 2-Morse theory enjoys is formally analogous to the web formalism of Gaiotto Moore and Witten, which describes combinatorics of degenerations of solutions of entirely different PDE.
I will discuss this formal analogy and possible applications of 2-Morse to the enumerative geometry.