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Morse Theory and Related Topics

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2019-2020
Period: 
October - January
Duration: 
60 h
Description: 

The course includes:

  • Classical Morse theory for smooth functions and regular variational problems.
  • Morse theory for nonsmooth and, in particular, piecewise smooth functions.
  • Symplectic interpretation of the Lagrange multipliers rule. Maslov index and its relation to the Morse index.
  • Floer homology.

The only prerequisite beyond basic mathematical background is the elementary homology theory. No knowledge of symplectic or Riemannian geometry is expected.

I do not plan to follow any book. Standard sources are:

  1. J. Milnor, Morse theory. Princeton Univ. Press, 1963
  2. L. Nicolaescu, An invitation to Morse theory. Springer, 2011
Location: 
A-136
Next Lectures: 
Friday, November 22, 2019 - 11:00 to 13:00
Tuesday, November 26, 2019 - 11:00 to 13:00
Friday, November 29, 2019 - 11:00 to 13:00
Tuesday, December 3, 2019 - 11:00 to 13:00
Friday, December 6, 2019 - 11:00 to 13:00
Tuesday, December 10, 2019 - 11:00 to 13:00
Friday, December 13, 2019 - 11:00 to 13:00
Tuesday, December 17, 2019 - 11:00 to 13:00
Friday, December 20, 2019 - 11:00 to 13:00
Tuesday, January 7, 2020 - 11:00 to 13:00
Friday, January 10, 2020 - 11:00 to 13:00
Tuesday, January 14, 2020 - 11:00 to 13:00
Friday, January 17, 2020 - 11:00 to 13:00
Tuesday, January 21, 2020 - 11:00 to 13:00
Friday, January 24, 2020 - 11:00 to 13:00
Tuesday, January 28, 2020 - 11:00 to 13:00
Friday, January 31, 2020 - 11:00 to 13:00
Tuesday, February 4, 2020 - 11:00 to 13:00
Friday, February 7, 2020 - 11:00 to 13:00
Tuesday, February 11, 2020 - 11:00 to 13:00

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