# Patrik Norén: Discrete Morse theory and tropical convexity

**Time:
**
Wed 2018-02-21 10.15 - 11.15

**Lecturer: **
Patrik Norén, Uppsala University

**Location: **
Room 3418, Lindstedtsvägen 25. Department of Mathematics, KTH

## Abstract

Tropical convexity has recently been used to prove results in commutative algebra. In particular it has been used to construct cellular resolutions of large classes of monomial ideals. In some important cases the classes of ideals have restrictions that are in some sense unnatural and it has been conjectured that the construction work in a larger setting where tropical methods will not work. We give two examples where discrete Morse theory can be used to prove the more general case.