Tuesday, July 14

MS13
Matroid Representation

10:30 AM-12:30 PM
Room: Sidney Smith 1072

Matroid representation theory addresses the question, given a field and a set of points with collection dependent subsets, under what conditions can the points be embedded into a vector space over the field in a way that respects the prescribed dependencies. This question is interesting in its own right, and also has applications in combinatorial optimization. The speakers in this minisymposium will provide an overview of progress made in the field in the last five years.

10:30 Generalized $\Delta$-Y Exchanges and $k$-Regular Matroids

James Oxley, Louisiana State University; Charles Semple, Victoria University, New Zealand; and Dirk Vertigan, Louisiana State University

11:00 Partial Fields

Dirk L. Vertigan, Louisiana State University

11:30 Totally-free Expansions of Matroids

James F. Geelen, Organizer; James G. Oxley and Dirk Vertigan, Louisiana State University; and Geoff P. Whittle, Victoria University, New Zealand

12:00 A Splitter Theorem for 4-Connected Matroids

James F. Geelen, Organizer and Geoff P. Whittle, Victoria University, New Zealand