32 citations · 88 across the 13 of their papers we have counts for
15 papers
Algebraic loops, braids, and tropicalization
Konstantin Jakob, Masoud Kamgarpour, Ian Le +1
Let be a smooth complex algebraic variety. We develop a tropical framework for studying algebraic loops, i.e., free homotopy classes in associated with formal…
Cluster Categorification of Rank 2 Webs
Ian Le, Emine Yıldırım
The homogeneous coordinate ring of the Grassmannian has a well-known cluster structure. There is a categorification of this cluster structure via a category of modul…
Degenerate conformal blocks for the algebra at c=2 and connection probabilities in the triple dimer model
Augustin Lafay, Ian Le, Julien Roussillon
We study a homogeneous system of linear partial differential equations (PDEs) in variables arising from two-dimensional Conformal Field Theories (CFTs) with a -symme…
Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)
Roger Casals, Ian Le, Melissa Sherman-Bennett +1
First, this article develops the theory of weaves and their cluster structures for the affine cones of positroid varieties. In particular, we explain how to construct a weave from…
Cluster structures on braid varieties
Roger Casals, Eugene Gorsky, Mikhail Gorsky +3
We show the existence of cluster -structures and cluster Poisson structures on any braid variety, for any simple Lie group. The construction is achieved via weave calc…
Mirror Symmetry for Truncated Cluster Varieties
Benjamin Gammage, Ian Le
In the algebraic setting, cluster varieties were reformulated by Gross-Hacking-Keel as log Calabi-Yau varieties admitting a toric model. Building on work of Shende-Treumann-William…