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June 6, 2022 - June 10, 2022
The Los Angeles Workshop on Representations and Geometry is a new annual workshop which aims to bring together graduate students and postdocs interested in representation theory, geometry, and related subjects. LAWRGe will be held from 6/6/22 to 6/10/22 at the University of Southern California. The 2022 topic will be the relationship between Schubert calculus and quantum integrable systems developed in the papers Schubert Puzzles and Integrability I and II of Knutson and Zinn-Justin, who will also be lead mentors for the workshop. Puzzles are combinatorial objects that, since 2004 work of Knutson and Tao, have been known to control intersection theory on Grassmannians and flag varieties. The more recent discovery to be explored in this workshop is that puzzles also have a representation theoretic meaning: they are controlled by R-matrices of quantum affine algebras. Potential participants should apply at https://sites.google.com/view/