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SL_4 web bases from hourglass plabic graphs

Joshua Swanson, University of Southern California
Wednesday, April 19, 2023 - 3:30pm to 5:00pm
PDL C-401 and via Zoom Link:


In 1995, Kuperberg introduced a remarkable collection of trivalent web bases which encode tensor invariants of \(SL_3\). Extending these bases to general \(SL_r\) has been an open problem ever since. We present a solution to the \(r=4\) case by introducing a new generalization of Postnikov's plabic graphs. Joint work with Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, and Jessica Striker.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

Join Zoom Meeting:
Meeting ID: 915 4733 5974