Women in Math Colloquium Series
Webs are diagrams that arise in the representation theory of quantum groups and the construction of quantum knot invariants. Originally motivated by connections between webs and Springer theory in the $sl_2$ setting, we have been studying the symmetric group action on webs from a combinatorial perspective. In this talk, we introduce $sl_2$ and $sl_3$ webs, explore their combinatorial properties, and describe how the symmetric group acts on them. We then briefly outline our work comparing the symmetric group action on webs to the classical Specht module construction. This work is joint with Julianna Tymoczko at Smith College.
3:15 (Virtual Tea) and 3:30 (Colloquium Talk)