Update (Summer 2018): Math 856 will not be taught in the Fall semester of 2018.
Previous description: The topic will be Morse Theory.
Main Reference: Morse Theory, by J. Milnor
1. Morse Theory and Morse Inequalities
2. Lusternik-Schnirelman Theory
3. Applications (may change during the course subject to students'
interests and time limit)
(i) Lustnernik-fet theorem
(ii) Lusternik-Schnirelman theorem
(iii) Bott periodicity theorem