Oct 30, 2019
Wednesday

01:00 PM  02:30 PM


Undergrad Mini Course 2: An introduction to matroid theory
Anastasia Chavez (University of California, Davis)

 Location
 
 Video


 Abstract
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 minicourse 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 wellbehaved family of realizable matroids called Positroids. By exploring the many combinatorial objects associated with Positroids, we will touch briefly on their farreaching 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



02:45 PM  04:10 PM


Undergrad Mini Course 2: An introduction to matroid theory
Anastasia Chavez (University of California, Davis)

 Location
 
 Video


 Abstract
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 minicourse 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 wellbehaved family of realizable matroids called Positroids. By exploring the many combinatorial objects associated with Positroids, we will touch briefly on their farreaching 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



