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DTSTAMP:20241006T182443
DTSTART;TZID=America/Detroit:20241011T160000
DTEND;TZID=America/Detroit:20241011T170000
SUMMARY:Workshop / Seminar:GEOMETRY SEMINAR Equidistribution of polynomially bounded o-minimal trajectories on homogeneous spaces
DESCRIPTION:In this talk\, I will discuss my joint work with Michael Bersudsky and Hao Xing extending Ratner’s theorem on equidistribution of individual orbits of unipotent flows on finite volume homogeneous spaces of Lie groups to trajectories of non-contracting curves definable in a polynomially bounded o-minimal structure.\nTo be precise\, let φ : [0\, ∞) → SL(n\, R) be a continuous map whose coordinate functions are definable in a polynomially bounded o-minimal structure\; for example\, rational functions. Suppose that φ is non-contracting: \n\n∀ linearly independent v1\,...\,vk ∈ R^n\, φ(t) (v1∧···∧vk)̸→0 as t→∞.\n\nThen\, there exists a unique smallest subgroup H_φ of SL(n\, R) generated by unipotent one-parameter subgroups such that \nφ(t) H_φ → g_0 H_φ in SL(n\, R)/H_φ as t→∞ for some g_0 ∈SL(n\,R). \n\nFor any Lie subgroup G of SL(n\,R) such that φ([0\,∞)) ⊂ G\, we have H_φ ⊂G. For any lattice Γ in G and x∈G/Γ\, the trajectory { φ(t)x:t≥0} gets equidistributed with respect to the measure g_0.μ_F_x\, where H_φ x = Fx for a closed connected subgroup F of G and μ_F_x is the unique F-invariant probability measure on Fx.
UID:127457-21859143@events.umich.edu
URL:https://events.umich.edu/event/127457
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20241010T110437
DTSTART;TZID=America/Detroit:20241011T160000
DTEND;TZID=America/Detroit:20241011T173000
SUMMARY:Lecture / Discussion:Linguistics Colloquium
DESCRIPTION:This event will be hybrid held in East Hall 4448 & Zoom.\n\nTITLE\nCategories and gradience in intonation: Empirical investigations in sound and meaning\n\nABSTRACT\nDifferences in intonation among languages and dialects are readily noticed but less easily described. What is the ‘shape’ of phrasal pitch contours\, analyzed in terms of their component phonological features or in acoustic F0 measurements? How does intonation function to mark the structure of phrases and larger discourse units\, or distinctions in semantic or pragmatic meaning? The goal of a linguistic theory of intonation is to establish a framework in which the form and functions of intonation can be analyzed and compared across languages and speakers. This is a surprisingly difficult task. Analyzing the function of intonational expressions calls for preliminary decisions about segmentation\, measurement and encoding– which interval(s) of a continuous pitch signal are associated with a particular meaning or structure\, which aspects of the dynamic F0 signal encode that function\, and what are the features of encoding? Even for English\, arguably one of the most studied intonation systems\, there is ongoing debate over these very questions\, resulting in a knowledge bottleneck that stymies scientific progress on intonation and its communicative function.\nIn this talk I report on my recent work addressing this central challenge for American English: What are the characteristics of phrasal pitch patterns that are reliably perceived and produced as distinct and interpreted differently\, by speakers of the language?  I discuss findings from parallel streams of research in my lab investigating intonational form and its pragmatic function. Part I (work with Jeremy Steffman) relates a series of studies that examine intonational form through imitations 16  intonational “tunes” of English\, under varying task conditions that tap memory representations of model tunes presented auditorily. Analyses of dynamic F0 patterns from five experiments converge on finding a robust\, primary distinction between high-rising and low-falling tunes\, and smaller\, secondary F0 distinctions within both classes. Part II (work with Thomas Sostarics) focuses on the pragmatic function of tunes\, presenting findings from one experiment testing asking/telling interpretations for stimuli from a two-dimensional Rising-Falling continuum\, and another examining the facilitation of scalar inference as a function of tune shape (Falling\, Rise-Fall-Rise\, with varying pitch accents). Findings from both experiments point again to a primary dichotomy between high-rising and low-falling tunes\, with secondary distinctions in meaning corresponding to F0 shape variation within the two primary tune classes. Implications of these joint findings are discussed for a theory of categorical and gradient associations of intonational form and function.
UID:124757-21853737@events.umich.edu
URL:https://events.umich.edu/event/124757
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Free,Talk
LOCATION:Off Campus Location - East Hall 4448
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20240910T152518
DTSTART;TZID=America/Detroit:20241011T161500
DTEND;TZID=America/Detroit:20241011T164500
SUMMARY:Lecture / Discussion:Exhibit Tour: Being Mixed Race
DESCRIPTION:Take a tour of the exhibit \"Being Mixed Race in a Mono-racially Organized World\" (https://umlib.us/mixedraceexhibit) with the student and librarian curators who planned and put the exhibit together. The exhibit explores interracial identity in the U.S. and around the world — what research and mixed race people tell us.\n\nSee the full list of events offered as part of the series \"Exploring Mixed Race and Interracial Family Experiences\" (https://umlib.us/mixedraceexperiences).
UID:126185-21856638@events.umich.edu
URL:https://events.umich.edu/event/126185
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Exhibition,Free,Library,Multicultural
LOCATION:Hatcher Graduate Library - Clark Library (2nd floor)
CONTACT:
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