Mathematical Sciences Research Institute

Home » Workshop » Schedules » Undergrad Mini Course 2: An introduction to matroid theory

Undergrad Mini Course 2: An introduction to matroid theory

Modern Math Workshop 2019 October 30, 2019 - October 31, 2019

October 30, 2019 (01:00 PM PDT - 02:30 PM PDT)
Speaker(s): Anastasia Chavez (Saint Mary's College of California)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
No Video Uploaded

Imagine you are visiting Honolulu and have a packed schedule of activities. Your map shows a dot for every site to visit, the best poke spot, and a secret bay to snorkel with sea turtles. Using the roads connecting these dots as edges of a graph, you wish to find all the minimal routes connecting these destinations that avoid forming a cycle. A matroid holds the key! In this mini-course we will get our hands dirty defining, computing, and exploring various perspectives of matroids. We will narrow in on realizable matroids, those arising from linear systems, and in particular, a well-behaved family of realizable matroids called Positroids. By exploring the many combinatorial objects associated with Positroids, we will touch briefly on their far-reaching implications in other areas of mathematics and science. This is geared towards undergraduate students and will assume some familiarity with linear algebra.

Link to presentation slides: https://www.academia.edu/40810771/Modernmath2019_minicourse

Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded