Chow Ring of Toric Arrangements

Scientific-Disciplinary Group

01/MATH-02 - Algebra And Geometry

Description

This project explores the deep connection between combinatorics and geometry, inspired by June Huh’s insight that combinatorial results can be proved using algebraic geometry, and that geometric methods can be recovered from combinatorics alone. The central question is whether Huh’s philosophy, developed in a linear setting, extends to broader contexts. The project addresses this by studying the toric case, an intermediate step between the linear and the fully general setting. Its goal is to extend many recent algebraic-geometric results on matroids to arithmetic matroids, while developing a general machinery that associates to almost any poset an algebra, structural theorems, and inequalities for its numerical invariants. The research combines tools from toric and tropical geometry, Chern classes, operads, and sheaves on posets, with applications to polytope theory, singularities, and moduli spaces.

Job posting website

https://bandi.unibo.it/ricerca/incarichi-di-ricerca

Funding body

ALMA MATER STUDIORUM - UNIVERSITA' DI BOLOGNA - - DIPARTIMENTO DI MATEMATICA

How to apply

Other

Selection process