Week |
(date of lecture) |
Topics |
Sections |
Homework |
Notes |
1 |
10/10 |
Introduction |
|
HW 1 |
Lecture 1 |
2 |
17/10 |
Fundamental theorem and structure theorem |
|
HW 2
(Q2 and 3 can only be answered after Lecture 4) |
Lecture 2 |
3 |
24/10 |
Proofs |
Gröbner complex survey |
HW 3 |
Lecture 3 |
4 |
31/10 |
More proofs and tropical curves and hypersurfaces
|
|
|
Lecture 4 (Note that there is a gap that was explained on paper while the smartboard was down at the start of the "drawing plane curves"). |
5 |
7/11 |
Balancing condition and computing tropical varieties |
|
HW 4 |
Lecture 5 |
6 |
14/11 |
Examples: Linear spaces and Grassmannians |
|
HW 5 |
Lecture 6 |
7 |
21/11 |
Toric connections |
|
|
Lecture 7 |
8 |
28/11 |
Tropical curves and Riemann Roch |
|
HW 6 |
Lecture 8 |
9 |
5/12 |
Enumerative geometry |
|
|
|