Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Oct
23
2024

Geometry of Matroid Workshop

The External Activity Complex of a Pair of Matroids
10:30am|Simonyi 101

Abstract: I will introduce the external activity complex of an ordered pair of matroids on the same ground set. This is the combinatorial analogue of the Schubert variety of an ordered pair of linear subspaces of a fixed space, which is also new...

Oct
23
2024

Geometry of Matroid Workshop

Multimatroids and Rational Curves with Cyclic Action
12:00pm|Simonyi 101

Abstract: I will share with you a connection between multimatroids and moduli spaces of rational curves with cyclic action. Multimatroids are generalizations of matroids and delta-matroids that naturally arise from topological graph theory. The main...

Oct
24
2024

Geometry of Matroid Workshop

Paths to Matroid Representations
Tong Jin
10:00am|Simonyi 101

Abstract: In this talk, I will first review previous works on matroid representations initiated by Tutte in 1958, generalized by Dress and Wenzel in the 1980s, and refined by Baker, Bowler, and Lorscheid more recently using the language of F1...

Oct
24
2024

Geometry of Matroid Workshop

Baker-Bowler Theory for Lagrangian Grassmannians
Donggyu Kim
12:00pm|Simonyi 101

Abstract: Baker and Bowler (2019) showed that the Grassmannian can be defined over a tract, a field-like structure generalizing both partial fields and hyperfields.

This notion unifies theories for matroids over partial fields, valuated matroids, and...

Oct
24
2024

Geometry of Matroid Workshop

Valuated Delta Matroids and Principal Minors
Cynthia Vinzant
2:30pm|Simonyi 101

Abstract: Delta matroids are a generalization of matroids, encompassing combinatorial structures such as matchings of graphs and principal minors of symmetric matrices. In this talk, I will discuss a notion of valuated Delta matroids and their...