{ "127457-21859143": { "datetime_modified":"20241006T182443", "datetime_start":"20241011T160000", "datetime_end":"20241011T170000", "has_end_time":1, "date_start":"2024-10-11", "date_end":"2024-10-11", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"GEOMETRY SEMINAR Equidistribution of polynomially bounded o-minimal trajectories on homogeneous spaces", "occurrence_title":"", "combined_title":"GEOMETRY SEMINAR Equidistribution of polynomially bounded o-minimal trajectories on homogeneous spaces: NIMISH SHAH (OSU)", "event_subtitle":"NIMISH SHAH (OSU)", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"In this talk, I will discuss my joint work with Michael Bersudsky and Hao Xing extending Ratner\u2019s 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.\r\nTo be precise, let \u03c6 : [0, \u221e) \u2192 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 \u03c6 is non-contracting: \r\n\r\n\u2200 linearly independent v1,...,vk \u2208 R^n, \u03c6(t) (v1\u2227\u00b7\u00b7\u00b7\u2227vk)\u0338\u21920 as t\u2192\u221e.\r\n\r\nThen, there exists a unique smallest subgroup H_\u03c6 of SL(n, R) generated by unipotent one-parameter subgroups such that \r\n\u03c6(t) H_\u03c6 \u2192 g_0 H_\u03c6 in SL(n, R)\/H_\u03c6 as t\u2192\u221e for some g_0 \u2208SL(n,R). \r\n\r\nFor any Lie subgroup G of SL(n,R) such that \u03c6([0,\u221e)) \u2282 G, we have H_\u03c6 \u2282G. For any lattice \u0393 in G and x\u2208G\/\u0393, the trajectory { \u03c6(t)x:t\u22650} gets equidistributed with respect to the measure g_0.\u03bc_F_x, where H_\u03c6 x = Fx for a closed connected subgroup F of G and \u03bc_F_x is the unique F-invariant probability measure on Fx.", "occurrence_notes":null, "guid":"127457-21859143@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/127457", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3866", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Geometry Seminar - Department of Mathematics", "group_id":"4891", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21859143 } , "124757-21853737": { "datetime_modified":"20241010T110437", "datetime_start":"20241011T160000", "datetime_end":"20241011T173000", "has_end_time":1, "date_start":"2024-10-11", "date_end":"2024-10-11", "time_start":"16:00:00", "time_end":"17:30:00", "time_zone":"America\/Detroit", "event_title":"Linguistics Colloquium", "occurrence_title":"", "combined_title":"Linguistics Colloquium: Jennifer Cole, Northwestern University", "event_subtitle":"Jennifer Cole, Northwestern University", "event_type":"Lecture \/ Discussion", "event_type_id":"13", "description":"This event will be hybrid held in East Hall 4448 & Zoom.\r\n\r\nTITLE\r\nCategories and gradience in intonation: Empirical investigations in sound and meaning\r\n\r\nABSTRACT\r\nDifferences in intonation among languages and dialects are readily noticed but less easily described. What is the \u2018shape\u2019 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\u2013 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.\r\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 \u201ctunes\u201d 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.", "occurrence_notes":null, "guid":"124757-21853737@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/124757", "building_id":"null", "building_name":"Off Campus Location", "campus_maps_id":"1", "room":"East Hall 4448", "location_name":"Hybrid", "has_livestream":1, "livestream_type":"zoom", "livetream_require_login":0, "livestream_id":"98160522966", "livestream_link":"https:\/\/umich.zoom.us\/j\/98160522966", "cost":"", "tags":["Free","Talk"], "website":"", "sponsors":[ { "group_name":"Department of Linguistics", "group_id":"3480", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2024\/10\/event_124757_original-3.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2024\/10\/event_124757_original-3.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2024\/10\/event_124757_original-3.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2024\/10\/event_124757_original-3.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2024\/10\/event_124757_original-3.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2024\/10\/event_124757_original-3.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2024\/10\/event_124757_original-3.png" }, "occurrence_count":1, "first_occurrence":21853737 } , "126185-21856638": { "datetime_modified":"20240910T152518", "datetime_start":"20241011T161500", "datetime_end":"20241011T164500", "has_end_time":1, "date_start":"2024-10-11", "date_end":"2024-10-11", "time_start":"16:15:00", "time_end":"16:45:00", "time_zone":"America\/Detroit", "event_title":"Exhibit Tour: Being Mixed Race", "occurrence_title":"", "combined_title":"Exhibit Tour: Being Mixed Race", "event_subtitle":"", "event_type":"Lecture \/ Discussion", "event_type_id":"13", "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 \u2014 what research and mixed race people tell us.\r\n\r\nSee the full list of events offered as part of the series \"Exploring Mixed Race and Interracial Family Experiences\" (https:\/\/umlib.us\/mixedraceexperiences).", "occurrence_notes":null, "guid":"126185-21856638@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/126185", "building_id":"1000181", "building_name":"Hatcher Graduate Library", "campus_maps_id":"65", "room":"Clark Library (2nd floor)", "location_name":"Hatcher Graduate Library", "has_livestream":0, "cost":"", "tags":["Exhibition","Free","Library","Multicultural"], "website":"", "sponsors":[ { "group_name":"University Library", "group_id":"1186", "website":"https:\/\/www.facebook.com\/UMichLibrary\/" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2024\/09\/event_126185_original-1.jpeg" }, "occurrence_count":3, "first_occurrence":21856636 } }