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SL_4 web bases from hourglass plabic graphs

Algebra & Discrete Mathematics

Speaker: Joshua Swanson, University of Southern California
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Location: 1147 MSB
Start time: Mon, May 1 2023, 4:10PM

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.