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    "148877-21905039":
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        "datetime_modified":"20260920T131748",
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        "event_title":"AIM Seminar:  Spectral theory of soliton gases for integrable equations and related problems",
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        "combined_title":"AIM Seminar:  Spectral theory of soliton gases for integrable equations and related problems: Alexander Tovbis (University of Central Florida)",
        "event_subtitle":"Alexander Tovbis (University of Central Florida)",
        "event_type":"Lecture \/ Discussion",
        "event_type_id":"13",
        "description":"Abstract:  Soliton gases for integrable systems is a rapidly developing new area in the theory of nonlinear waves. The spectral theory of soliton gases is concerned about macroscopic characteristics of large soliton ensembles. We go briefly over the history of the subject, such as V. Zakharov\u2019s (1971) expression of the average velocity of a trial soliton in a (diluted) gas and the idea of the thermodynamic limit of wavenumbers and frequencies of finite gap solutions of G. El (2003). We then discuss some recent results and open problems, as well as some methods of potential theory and algebraic geometry that appear to be relevant for soliton gases.\n\nContact:  Peter Miller",
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        "tags":["Applied Mathematics","Mathematics"],
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    {
        "datetime_modified":"20260916T151809",
        "datetime_start":"20261009T150000",
        "datetime_end":"20261009T160000",
        "has_end_time":1,
        "date_start":"2026-10-09",
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        "time_zone":"America\/Detroit",
        "event_title":"Chow Vanishing and Motives of Cluster Varieties",
        "occurrence_title":"",
        "combined_title":"Chow Vanishing and Motives of Cluster Varieties: Josie Hlavinka (UC Berkeley)",
        "event_subtitle":"Josie Hlavinka (UC Berkeley)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Progress over the last decade has shown that the cohomologies of full rank, locally acyclic cluster varieties enjoy remarkable combinatorial structures. Crucial in this program has been the observation that these cohomology groups are, in certain Hodge theoretic senses, about as simple as possible. In this talk we will discuss a motivic lift of this observation. In particular we establish that the Voevodsky motives of really full rank sink-recurrent cluster varieties are mixed Tate and split over Q (strengthening results of Lam and Speyer), and we prove that their integral Chow groups are all trivial.",
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        "tags":["Mathematics"],
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                "group_name":"Combinatorics Seminar - Department of Mathematics",
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