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DTSTART:20070311T020000
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DTSTAMP:20240326T173909
DTSTART;TZID=America/Detroit:20240327T160000
DTEND;TZID=America/Detroit:20240327T173000
SUMMARY:Workshop / Seminar:Logic Seminar: Duality for algebraic logic
DESCRIPTION:This week we will discuss duality for equational/algebraic logic\, the fragment of (many-sorted) first-order logic in which we only consider functional signatures and theories whose axioms are equations between terms. Previously we discussed the connection between algebraic theories and small categories with finite products\, as well as the construction of the syntactic algebra (or \"universal model”) of an algebraic theory. This week we will discuss the duality theorem for algebraic logic\, namely the bi-equivalence between the 2-category of algebraic categories (categories equivalent to Mod(T) for some algebraic theory T) and the 2-category of “canonical” algebraic theories (algebraic theories that are idempotent-complete).
UID:120767-21845276@events.umich.edu
URL:https://events.umich.edu/event/120767
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 5822
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20240205T154353
DTSTART;TZID=America/Detroit:20240327T160000
DTEND;TZID=America/Detroit:20240327T170000
SUMMARY:Workshop / Seminar:Non-parametric estimations for graphon mean-field particle systems
DESCRIPTION:We consider the graphon mean-field system introduced by Bayraktar et al. in Bayraktar\, Chakraborty\, Wu (AAP 2023)\n	which is the large-population limit of a heterogeneously interacting diffusive particle system.\n	The interaction is of mean-field type with weights characterized by an underlying graphon function.\n	Via continuous observations of the trajectories of the finite-population particle system\,\n	we build plug-in estimators of the particle densities\, drift coefficients\, and graphon interaction weights of the mean-field system.  \n	Our estimators for the densities and drifts are direct results of kernel interpolation on the empirical data\, and a deconvolution method leads to an estimator of the underlying graphon function\n	We prove that the estimator converges to the true graphon function as the number of particles tends to infinity when all other parameters are properly chosen.	\n	Besides\, we also conduct a minimax analysis on the plug-in estimator of the particle densities within a particular class of particle systems\, which justifies its pointwise optimality.  \n\nJoint work with Erhan Bayraktar
UID:118407-21841044@events.umich.edu
URL:https://events.umich.edu/event/118407
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1360
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20240308T121501
DTSTART;TZID=America/Detroit:20240327T160000
DTEND;TZID=America/Detroit:20240327T163000
SUMMARY:Presentation:Registration Refresher
DESCRIPTION:Do you need help navigating the course guide or backpacking classes for the spring\, summer\, or fall terms? Do you need a quick refresher on how to register? Are you simply confused about the process in general? Then come to this session to hear an advisor explain the steps to backpack and register\, and some ways to figure out what classes you might need to take. There will also be time for you to ask questions.
UID:119879-21843717@events.umich.edu
URL:https://events.umich.edu/event/119879
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Transfer Students
LOCATION:Off Campus Location
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20240324T230219
DTSTART;TZID=America/Detroit:20240327T160000
DTEND;TZID=America/Detroit:20240327T182000
SUMMARY:Workshop / Seminar:RTG GeomTopDyn Seminar:  Poincaré Recurrence and Its Quantitative Version
DESCRIPTION:The Poincaré recurrence theorem states that probabilistic measure-preserving dynamical systems will\, after a sufficiently long but finite time\, return to a state arbitrarily close to their initial state. This raises a natural question: How long must one wait? The rate of recurrence can be quantified in cases where the space has a finite Hausdorff dimension. We will prove the classical Poincaré recurrence theorem and its quantitative version due to Boshernitzan. Some applications will be provided. This talk is will be very accessible\; no prior knowledge is required.\nReference:\n[B] Boshernitzan\, M.D. Quantitative recurrence results. Invent. Math. 113\, 617–631 (1993).
UID:120551-21844898@events.umich.edu
URL:https://events.umich.edu/event/120551
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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