{ "142833-21891725": { "datetime_modified":"20260120T231803", "datetime_start":"20260126T160000", "datetime_end":"20260126T170000", "has_end_time":1, "date_start":"2026-01-26", "date_end":"2026-01-26", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Painlev\u00e9 Universality class for the maximal amplitude solution of the Focusing Nonlinear Schr\u00f6dinger Equation with randomness", "occurrence_title":"", "combined_title":"Painlev\u00e9 Universality class for the maximal amplitude solution of the Focusing Nonlinear Schr\u00f6dinger Equation with randomness: Aikaterini Gkogkou (Tulane University)", "event_subtitle":"Aikaterini Gkogkou (Tulane University)", "event_type":"Livestream \/ Virtual", "event_type_id":"24", "description":"In this work, we establish universality results for the $N$-soliton solution of the focusing NLS equation at maximal amplitude. Specifically, we choose the associated normalization constants so that the solution achieves its maximal peak, which, in the large-$N$ limit, satisfies a Painlev\u00e9-type equation independently of the distribution of the (random) discrete eigenvalues. We identify two distinct universality classes, determined by the structure of the discrete eigenvalues: the \\textit{Painlev\u00e9--III} and \\textit{Painlev\u00e9--V} rogue-wave solutions. In the Painlev\u00e9--III case, the eigenvalues take the form $\\lambda_j = v_j + i \\mu_j$, while for Painlev\u00e9--V they satisfy $\\lambda_j = -\\zeta \\, j + v_j + i \\mu_j$, with $0 < \\zeta < 1$. In both cases, $v_j$ and $\\mu_j$ are sub-exponential random variables. Universality can then be summarized as follows: regardless of the specific realizations of the amplitudes and velocities, provided they are sub-exponential random variables and the normalization constants are chosen to maximize the \\(N\\)-soliton solution, the resulting maximal peak always corresponds to either a Painlev\u00e9--III or Painlev\u00e9--V rogue-wave profile in the large-$N$ limit.", "occurrence_notes":null, "guid":"142833-21891725@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/142833", "building_id":"null", "building_name":"Off Campus Location", "campus_maps_id":"1", "room":"", "location_name":"Virtual", "has_livestream":0, "cost":"", "tags":["Seminar","Virtual","Mathematics"], "website":"https:\/\/sites.google.com\/umich.edu\/isrmt-seminar\/home?authuser=0", "sponsors":[ { "group_name":"Integrable Systems and Random Matrix Theory Seminar - Department of Mathematics", "group_id":"4893", "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":21891725 } , "144224-21894926": { "datetime_modified":"20260127T101229", "datetime_start":"20260126T160000", "datetime_end":"20260126T173000", "has_end_time":1, "date_start":"2026-01-26", "date_end":"2026-01-26", "time_start":"16:00:00", "time_end":"17:30:00", "time_zone":"America\/Detroit", "event_title":"Stamping and Stomping: community inspired relief prints", "occurrence_title":"", "combined_title":"Stamping and Stomping: community inspired relief prints: Paloma N\u00fa\u00f1ez-Regueiro", "event_subtitle":"Paloma N\u00fa\u00f1ez-Regueiro", "event_type":"Reception \/ Open House", "event_type_id":"17", "description":"Artist's Reception and Talk \n-- \n\nCurrently based in Ann Arbor, Paloma N\u00fa\u00f1ez-Regueiro is a Mexican printmaker born in Lima, Peru. Paloma attended art college in Mexico, where she came face to face with printmaking during her first year at the Facultad de Artes Pl\u00e1sticas (College of Arts) in Xalapa, Veracruz. She became fascinated with the possibilities that printmaking offers, as well as its importance in popular resistance throughout history. In 1997, she transferred to the Rochester Institute of Technology with an International Student Scholarship.\n\n-- \nAmongst the subjects that interest her are human migration, social in-visibility, and the intrinsic relation of humans to the universe as well as our dislocated relationship to it. She currently explores the vicissitudes of minorities and their stories in order to create a better understanding of their issues. By offering portraits of minorities and their stories, Nunez-Regueiro\u2019s goal is to create supportive communities for those who need to feel rooted in their geographical space and their present time. \n\nN\u00fa\u00f1ez-Regueiro work is closely related to her experiences of living abroad \u2014 the impermanence, the precarious construction of one's present and even less of one\u2019s future. It is about the rootlessness of those of us who move from place to place. She is an incessantly positive artist and she profoundly believes in art as a tool to create the social change that can lead us to thoughtful actions, and the bettering of ourselves and our communities.", "occurrence_notes":"All welcome! Free & Open to the Public", "guid":"144224-21894926@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/144224", "building_id":"1000054", "building_name":"East Quadrangle", "campus_maps_id":"54", "room":"RC Art Gallery", "location_name":"East Quadrangle", "has_livestream":0, "cost":"", "tags":["Arts Initiative","arts at michigan","Arts And Ideas In The Humanities","arts","artists and curators","artists","art and design","Art","Ann Arbor","All Majors Welcome"], "website":"https:\/\/lsa.umich.edu\/rc\/reserve-a-room-\/rc-art-gallery.html", "sponsors":[ { "group_name":"Residential College", "group_id":"1029", "website":"" }, { "group_name":"Arts Initiative", "group_id":"4583", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/01\/event_144224_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/01\/event_144224_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2026\/01\/event_144224_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2026\/01\/event_144224_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2026\/01\/event_144224_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2026\/01\/event_144224_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/01\/event_144224_original-1.png" }, "occurrence_count":1, "first_occurrence":21894926 } }