Reading course on Khovanov homology
This is an informal reading course on Khovanov homology and lowdimensional topology.
The main topic for Winter 2021 will be topology of singularities .
Organizers: Roger Casals ,
Eugene Gorsky ,
Laura Starkston .
The seminar meets on Thursdays at 12pm 34pm.
Older notes: WinterSpring 2020 , Fall 2020 .
Program
1/7: Introductory meeting, A1 singularity notes
Problem set 1
1/14: Milnor fibration, vanishing cycles notes
1/21: Resolution of singularities Solutions to problems , notes
1/28: More on blowups notes, Solution to problem 4
Problem set 2
2/4: Plane curve singularities: Puiseaux expansion notes
2/11: Plane curve singularities: semigroup notes
2/18: Resolution of singularities: multiplicities notes
2/25: Resolution of singularities: intersection form notes
3/4: Monodromy, Seifert form
3/11: Zeta function and Alexander polynomial
Course materials

J. Milnor. Singular Points of Complex Hypersurfaces.

V. Arnold, S. GuseinZade, A. Varchenko.Singularities of Differentiable Maps (Volume 2).

D. Eisenbud, W. Neumann. ThreeDimensional Link Theory and Invariants of Plane Curve Singularities.

C. T. C. Wall. Singular Points of Plane Curves.