19–23 Aug 2024
IBS Science Culture Center
Asia/Seoul timezone

Infinite matroids on lattices

19 Aug 2024, 14:40
25m
S236 (IBS Science Culture Center)

S236

IBS Science Culture Center

Daejeon, Yuseong District, Expo-ro, 55 과학문화센터
Presentation (25 min)

Speaker

Peter Nelson (University of Waterloo)

Description

There are at least two well-studied ways to extend matroids to more general objects - one can allow the ground set to be infinite, or instead define the concept of independence on a lattice other than a set lattice. I will give several cryptomorphic definitions of an object that generalizes a matroid in both these ways at once, and argue that they are (in some ways) nicer than the usual finite matroid axioms. This is joint work with Andrew Fulcher.

Primary author

Peter Nelson (University of Waterloo)

Co-author

Andrew Fulcher (University College Dublin)

Presentation materials

There are no materials yet.