Trying to generalize Pick's theorem.

Abstract: We will review Pick's theorem in dimension 2 and see some ideas for an extension. Based on understanding the Todd class of toric varieties, a variety of local formulas have been proposed. Each of these local formulas can be seen as a higher Pick's theorem. I will present a conjecture and evidence for one particular formula to become "the" natural extension.

commutative algebraalgebraic geometrycombinatorics

Audience: researchers in the topic

Matroids - Combinatorics, Algebra and Geometry Seminar