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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269: Combinatorics Seminar
Stephan Pfannerer
University of Waterloo
Rotation-invariant web bases from hourglass plabic graphs
Abstract:
In 1995, Kuperberg introduced a remarkable collection of trivalent web bases which encode tensor invariants of $U_q(\mathfrak{sl}_3)$. Extending these bases to general $\mathfrak{sl}_r$ has been an open problem ever since. We present a solution to the $r=4$ case by introducing hourglass plabic graphs - a new generalization of Postnikov's plabic graphs. Joint work with Christian Gaetz, Oliver Pechenik, Jessica Striker and Joshua Swanson.
Host: Brendon Rhoades
April 22, 2025
2:00 PM
APM 5829
Research Areas
Combinatorics****************************
