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        "event_title":"Learning Seminar in Algebraic Combinatorics",
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        "combined_title":"Learning Seminar in Algebraic Combinatorics: Nakajima quiver varieties in type A (Raj Gandhi)",
        "event_subtitle":"Nakajima quiver varieties in type A (Raj Gandhi)",
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        "description":"This talk will be an introduction to Nakajima quiver varieties, focusing on type A quivers. We will begin with a brief recount of quiver representations, including discussion of kernels and indecomposables. We will define the notion of framing, and impose a ``stability condition\" on framed quiver representations to obtain what we will call pre-quiver varieties, of which the Grassmannians and complete flag varieties are examples. Next, we will introduce the doubled framed quiver. Imposing both the stability condition and additional \"moment map condition\" on doubled framed quiver representations yields the notion of a Nakajima quiver variety. Examples include cotangent bundles of Grassmannians and complete flag varieties.",
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        "tags":["Combinatorics","Mathematics"],
        "website":"https:\/\/gtbarkley.org\/seminars\/latticemodels26\/",
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        "datetime_start":"20261014T143000",
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        "event_title":"Student Number Theory: An Introduction to Perfectoid Theory",
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        "combined_title":"Student Number Theory: An Introduction to Perfectoid Theory: Zijie Tao",
        "event_subtitle":"Zijie Tao",
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        "description":"Nearly fifteen years ago, Peter Scholze introduced perfectoid fields, establishing a bridge between deeply ramified fields of characteristic zero and characteristic (p). Perfectoid theory has since found important applications in arithmetic geometry. In this talk, I will follow Scholze\u2019s original paper to give an introduction to perfectoid fields and, if time permits, perfectoid spaces.",
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        "event_title":"Entropy-Regularized Finite-State Mean Field Control Problems",
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        "combined_title":"Entropy-Regularized Finite-State Mean Field Control Problems: Aditya Priya",
        "event_subtitle":"Aditya Priya",
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        "description":"We study an infinite-horizon discounted mean field control problem for finite-state nonlinear continuous-time Markov chains. Controls are locally integrable transition-rate matrices and are penalized by relative entropy with respect to a state-dependent reference generator. We prove that the value function is the unique bounded viscosity solution on the closed simplex of the Hamilton\u2013Jacobi\u2013Bellman equation by a direct dynamic-programming argument and a finite-state comparison principle. Under a uniform semiconvexity condition and C\u00b9,\u00b9 regularity, the value function is globally semiconvex and intrinsically C\u00b9,\u00b9 on the closed simplex and yields a Gibbs feedback that is the unique Hamiltonian minimizer at interior states. For positive, symmetric, possibly state-dependent reference rates, an entropy-plus-value free energy decays globally exponentially when the temperature parameter is compatible with the semiconvexity modulus. We also establish a discounted planner-to-game correspondence for potential mean field games under a state-independent reference generator.",
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        "event_title":"Student DGT: Dehn Surgery Number",
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        "combined_title":"Student DGT: Dehn Surgery Number: Nathan Li",
        "event_subtitle":"Nathan Li",
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        "description":"Dehn surgery is one of the most basic operations in the study of low dimensional topology that allows us to produce new manifolds. In this talk we will sketch a variety of results concerning Dehn surgery ranging from classical to current research level results. This talk will be accessible to first year graduate students.",
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        "event_title":"Student Life Coaching Circles",
        "occurrence_title":"Managing Difficult Conversations",
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        "description":"Join us for our annual Coaching Cirlces!\u00a0 Each coaching session will provide 8-10 staff members with an opportunity to interact informally with a Student Life Unit Director (or leader) around a leadership topic of interest to them. These are informal conversations (rather than workshops or presentations) between staff and these leaders who have experience with and willingness to share their wisdom around these topics.Staff are asked to register for no more than one coaching circle a semester. Space is very limited, register today!",
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        "location_name":"Ginsberg Center, Room 1080",
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