Kazhdan-Lusztig theory for matroids

There is a remarkable parallel between the theory of Coxeter groups (think of the symmetric group or the dihedral group) and matroids (think of your favorite graph or point configuration), based on their combinatorial cohomology theories. After giving an overview of the similarity, I will report on a cohomological approach to some classical conjectures in enumerative combinatorics. Joint work with Tom Braden, Jacob Matherne, Nick Proudfoot, and Botong Wang.

https://web.math.princeton.edu/~huh/