Lectures on hypersurface singularities I
The course is an introduction to hypersurface singularities. The potential topics are: the Milnor cone and fibration theorem, topology of Milnor fibers (homotopy type, Betti numbers), monodromy of Milnor fibers, Thom-Sebastiani type theorem, Topology of the singularity link, Brieskorn varieties and exotic spheres. Local Weierstrass theory and applications, Milnor and Tujrina numbers, right and contact equivalence, finite determinacy, etc.
Lecturer
Date
10th September ~ 19th December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 09:50 - 11:25 | A3-4-101 | ZOOM 13 | 637 734 0280 | BIMSA |
Prerequisite
Algebraic geometry, algebraic topology.
Reference
1. Singular points of complex hyper-surfaces, J.Milnor;
2. Introduction to singularities and deformations, G.M.Greuel, C.Lossen, E.Shustin;
3. Three-dimensional link theory and invariants of plane curve singularities, D.Eisenbud, W.Neumann.
2. Introduction to singularities and deformations, G.M.Greuel, C.Lossen, E.Shustin;
3. Three-dimensional link theory and invariants of plane curve singularities, D.Eisenbud, W.Neumann.
Audience
Advanced Undergraduate
, Graduate
Video Public
No
Notes Public
No
Language
English