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

Unbounded matroids, polymatroids and subspace arrangements

19 Aug 2024, 15:05
25m
S236 (IBS Science Culture Center)

S236

IBS Science Culture Center

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

Speaker

José Samper (Pontifical Catholic University of Chile)

Description

The goal of the talk is to introduce the theory of unbounded matroids. These are possibly unbounded Polyhedra in R^d whose vertices are 01 whose edge directions are of the form $e_i - e_j$. We will explore some cryptomorphic variations of these definitions involving linear extensions of posets and relate them to matroids and polymatroids.  We will discuss how these objects can be used to study the geometry of subspace arrangements and present several questions inspired by classical results for matroids. Based on joint work with J. Berggren and J. Martin.

Primary author

José Samper (Pontifical Catholic University of Chile)

Presentation materials

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