Morse theory, Bruhat cells and Unitriangular geometry
Petr Pushkar
17-Feb-2021, 16:20-18:00 (3 years ago)
Abstract: Strong Morse function is a Morse function with pairwise different critical values. For such a function we construct a collection of numbers, which is a (smooth) topological invariant of the strong Morse function.
Algebraically our construction is a close relative of the construction of Bruhat cells and belongs to Unitriangular geometry. We will present a generalization of determinant of any linear map between finite dimensional vector spaces.
Talk based on a joint work with Misha Temkin.
mathematical physicsanalysis of PDEsdifferential geometry
Audience: researchers in the topic
( video )
Geometry of differential equations seminar
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