Ian Le

activity

20242026

collaborators

3 papers

math.RT2026

Cluster Categorification of Rank 2 Webs

Ian Le, Emine YÄ±ldÄ±rÄ±m

The homogeneous coordinate ring of the Grassmannian $Gr (k, n)$ has a well-known cluster structure. There is a categorification of this cluster structure via a category of modul…

math-ph2025

Degenerate conformal blocks for the $W_{3}$ algebra at c=2 and connection probabilities in the triple dimer model

Augustin Lafay, Ian Le, Julien Roussillon

We study a homogeneous system of $d + 8$ linear partial differential equations (PDEs) in $d$ variables arising from two-dimensional Conformal Field Theories (CFTs) with a $W_{3}$ -symme…

math.RT2024

Cluster structures on braid varieties

Roger Casals, Eugene Gorsky, Mikhail Gorsky +3

We show the existence of cluster $A$ -structures and cluster Poisson structures on any braid variety, for any simple Lie group. The construction is achieved via weave calc…

Cluster Categorification of Rank 2 Webs

Degenerate conformal blocks for the W3​ algebra at c=2 and connection probabilities in the triple dimer model

Cluster structures on braid varieties

Degenerate conformal blocks for the $W_{3}$ algebra at c=2 and connection probabilities in the triple dimer model