Rotation-Invariant Web Bases from Hourglass Plabic Graphs and Symmetrized Six-Vertex Configurations

Explore a 52-minute conference talk on rotation-invariant web bases, hourglass plabic graphs, and symmetrized six-vertex configurations presented by Jessica Striker from North Dakota State University at IPAM's Integrability and Algebraic Combinatorics Workshop. Delve into the six-vertex model, an exactly solvable model in statistical mechanics, and discover its symmetrized version adapted to 4-regular graphs embedded in a disk. Learn about hourglass plabic graphs and their bijection with 4-row tableaux, leading to a rotation-invariant web basis for SL_4. Examine connections to alternating sign matrices, plane partitions, and their symmetry classes. Gain insights into collaborative research with Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, and Joshua P. Swanson, as well as joint work with Ashleigh Adams.