Technology permitting, the lectures will be live-streamed over Zoom (but not recorded), at least for the first few weeks of the semester. The livestream is intended only for those who are unable to attend the lecture. When in such situation, please email the instructor for the Zoom link info.
| Date | Lecture notes | Topic | Comments |
|---|---|---|---|
| Jan. 25 | Lecture 1 | introduction, bases of matroids | |
| Jan. 27 | Lecture 2 | small rank matroids, cryptomorphisms I | |
| Feb. 1 | Lecture 3 | crytomorphisms II, constructions I | |
| Feb. 3 | Lecture 4 | constructions II, characteristic polynomials I | |
| Feb. 8 | Lecture 5 | characteristic polynomials II, Tutte polynomials | |
| Feb. 10 | Lecture 6 | Ample divisors and Hodge-Riemann relations | |
| Feb. 15 | Lecture 7 | Lorentzian polynomials I | |
| Feb. 17 | Lecture 8 | Lorentzian polynomials II | Primer on blow-ups |
| Feb. 22 | Lecture 9 | Wonderful compactifications I | |
| Feb. 24 | Lecture 10 | Wonderful compactifications II | Mar. 1 | Lecture 11 | Toric varieties I | Mar. 3 | Lecture 12 | Toric varieties II | Mar. 8 | Lecture 13 | Divisors on toric varieties | Mar. 10 | Lecture 14 | Generalized permutohedra | Mar. 15 | No lecture | Spring break | Mar. 22 | Lecture 15 | Toric intersection theory | Mar. 24 | Lecture 16 | Tropical intersection theory | Mar. 29 | Lecture 17 | Tropical Hodge theory I | Mar. 31 | Lecture 18 | Tropical Hodge theory II | Apr. 5 | Lecture 19 | Tautological bundles I | Apr. 7 | Lecture 20 | Tautological bundles II | Apr. 12 | Lecture 21 | Tautological classes | Apr. 14 | Lecture 22 | Exceptional HRR | Apr. 19 | Lecture 23 | Tropicalizing vector bundles | Apr. 21 | Lecture 24 | Augmented/stellahedral story | Apr. 26 | Lecture 25 | Presentation, Concluding remarks | Last class | Apr. 28 | No lecture | CMSA Workshop on Nonlinear Algebra |