Veranstaltung

Vortrag
The Witten deformation for singular algebraic curves and stratified Morse functions
Dr. Ursula Ludwig
15.12.2009, 16:00 Uhr – 17:00 Uhr

About 25 years ago motivated by ideas in physics, Witten introduced a beautiful new approach to proving Morse inequalities based on the deformation of the de Rham complex (see ``Supersymmetry and Morse Theory'', J. of Differ. Geometry, 17). His ideas were fruitfully applied in different situations. In this talk I will first recall Wittens proof of the Morse inequalities for a Morse function on a compact smooth manifold and then explain how to give an analytic proof of the Morse inequalities of stratified Morse theory (as developed by Goresky/MacPherson) for singular algebraic curves by generalising the Witten deformation to the singular setting.

Verknüpft mit:

• Ursula Ludwig
• Wintersemester 2009/10