Reading Group — Toric Varieties and its Applications

This is the resource page for the reading group ``Toric Varieties and its Applications''. See Joint UOttawa/Carleton Algebra Seminar. 

The final purpose is to understand the proof of Read's conjecture stating that the absolute value of coefficients of the chromatic polynomial of a graph is unimodal. Note that June Huh was awarded the Fields Medal in 2022 due to the mentioned work and more work in this direction. The proof is established in a series of papers with main ideas originally from algebraic geometry. The main geometric object is toric varieties, a sort of algebraic variety parametrized by combinatorial objects --- fans.

• Plan (plan, description, etc)
• Talk1 (2022-10-14, chromatic polynomials, affine toric varieties) [1] [2] [3] [录像]
• Talk2 (2022-10-21, limit, toric variety in general) [1] [2] [录像]
• Talk3 (2022-11-04, divisors) [1] [2] [录像]
• Talk4 (2022-11-11, line bundles) [1] [2] [录像]
• Talk5 (2022-11-25, Chow ring)  [录像]
• Talk6 (2022-12-8, equivariant cohomology)  [录像]
• ...
• Notes in all (with section 2 revised) 

PS: I will do a practice talk in Chinese each time before it happens in uOttawa. So... 如果你说中文并希望加入讨论，请联系我。