# Matroids seminar/ideas

From UW-Math Wiki

Looking to come talk at matroids seminar? Don't know what to talk about? Look no further! This page houses the world's finest selection of matroid-related talk ideas that we'd like to hear. Feel free to pile on your own ideas.

- Kashyap, Navin; Soljanin, Emina; Vontobel, Pascal Applications of Matroid Theory & Combinatorial Optimization to Information and Coding theory
- Matroids in coding theory
- Matroids in combinatorial optimization
- Matroids in information theory
- The same set of authors wrote a series of three papers called “Log-Concave Polynomials I, II, & III”. In first two, they (lightly but crucially) apply results from Hodge Theory of Combo Geo & Botong and June Huh’s paper to develop new basis counting algorithms (I think this was a problem that Jose brought up at our first meeting). In the final one provides “a self-contained proof of Mason’s strongest conjecture”, a result that strengthens the log-concavity result of Hodge Theory for Combo Geo
- LCP I: “First nontrivial deterministic basis-counting algorithm for general matroids” https://arxiv.org/abs/1807.00929
- Randomized algorithm for basis-counting. They also prove a 30-year-old conjecture about the exchange graph of the bases https://arxiv.org/abs/1811.01816
- The self-contained proof of Mason’s conjecture. This one is very short. https://arxiv.org/abs/1811.01600