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YouTube

Geometry of Matroids Workshop

Institute for Advanced Study via YouTube

Overview

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Explore advanced mathematical concepts in this comprehensive workshop featuring 15 expert presentations on the geometric aspects of matroid theory. Delve into cutting-edge research topics including delta-matroids, tropical quiver representations, derived categories of permutahedral varieties, and valuated delta matroids with principal minors. Examine Baker-Bowler theory applications to Lagrangian Grassmannians, investigate paths to matroid representations, and study multimatroids in relation to rational curves with cyclic action. Analyze the external activity complex of matroid pairs, explore generalized Schubert varieties and anabelian matroids, and understand the tropicalization of principal minors in positive definite matrices. Investigate spaces of Lorentzian polynomials, cohomologically tropical varieties, and foundations of generalized parallel connections. Discover connections between matroids and moduli spaces, and examine tropical vector bundles within matroid frameworks. Gain insights from leading researchers presenting their latest findings in this specialized area of algebraic geometry and combinatorics.

Syllabus

Geometry of Delta-Matroids - Matt W Larson
Tropical Quiver Representations - Victoria Schleis
Derived Categories of the Permutahedral Varieties - Mario Sanchez
Valuated Delta Matroids and Principal Minors - Cynthia Vinzant
Baker-Bowler Theory for Lagrangian Grassmannians - Donggyu Kim
Paths to Matroid Representations - Tong Jin
Multimatroids and Rational Curves with Cyclic Action - Shiyue Li
The External Activity Complex of a Pair of Matroids - Andrew Berget
Towards Generalized Schubert Varieties and Anabelian Matroids - Mateusz Michalek
Tropicalizing Principal Minors of Positive Definite Matrices - Josephine Yu
Spaces of Lorentzian Polynomials - Mario Kummer
Cohomologically Tropical Varieties - Kris Shaw
The Foundation of a Generalized Parallel Connection - Zach Walsh
From Matroids to Moduli Spaces - Lukas Kühne
Tropical Vector Bundles and Matroids - Kiumars Kaveh

Taught by

Institute for Advanced Study

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