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        "event_title":"Monomial identities in the Weyl algebra (Combinatorics Seminar)",
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        "combined_title":"Monomial identities in the Weyl algebra (Combinatorics Seminar): Tom Roby -- University of Connecticut",
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        "description":"The (Heisenberg) Weyl algebra is the free algebra with two generators D and U and single relation DU\u2212UD = 1.  As a consequence of this relation, certain monomials are equal, such as DUUD and UDDU. We characterize all such equalities over a field of characteristic 0, describing them in several ways, including operationally (by a combinatorial  equivalence relation generated by certain moves) and computationally (through lattice path invariants).  We also enumerate the equivalence classes and several variants thereof and discuss possible extensions to other algebras.",
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        "event_title":"Sustainability Coffee Chats: Free coffee and good conversation!",
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        "event_title":"Smith Lecture: Jida Wang",
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        "combined_title":"Smith Lecture: Jida Wang: Tracking lake water resources in the Anthropocene: from infrastructure data to societal indications",
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