Comet Calendar
Algebra and Combinatorics Seminar
Friday, April 11, 2025 12pm to 1pm
Friday, April 11, 2025 12pm to 1pm
Speaker: Ashleigh Adams (North Dakota State University)
Title: Webification of symmetry classes of plane partitions
Abstract: Plane partitions are a combinatorial objects generalizing Young diagrams. They have beautiful combinatorial properties, such as product counting formulas for their symmetry classes. Recently, plane partitions have been shown by Gaetz, Pechenik, Pfannerer, Striker, and Swanson to be in bijection with certain U_q(sl_4)-webs lying on a hexagonal grid. These webs can be viewed as combinatorial objects called hourglass plabic graphs and have deep representation theoretic connections to quantum invariant theory. In this talk, I will discuss the connection between these seemingly unrelated combinatorial objects. Moreover, I will give a classification of the symmetry classes of plane partitions via lattice words obtained from analyzing trip permutations of the corresponding hourglass plabic graphs and give a combinatorial map between certain nice U_q(sl_4)-webs and U_q(sl_2)-webs, as well as give some representation theoretic implications.
Engineering and Computer Science North (ECSN), 2.126
800 W. Campbell Road, Richardson, Texas 75080-3021
UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed above) at least 10 business days prior to the event. If you have any additional questions, please email ADACoordinator@utdallas.edu and the AccessAbility Resource Center at accessability@utdallas.edu.