{
    "144430-21895346":
    {
        "datetime_modified":"20260124T210402",
        "datetime_start":"20260128T160000",
        "datetime_end":"20260128T170000",
        "has_end_time":1,
        "date_start":"2026-01-28",
        "date_end":"2026-01-28",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Probability\/Analysis Circle: Change of Variables - From Symmetric Matrices to Eigenvalues",
        "occurrence_title":"",
        "combined_title":"Probability\/Analysis Circle: Change of Variables - From Symmetric Matrices to Eigenvalues: Jinho Baik",
        "event_subtitle":"Jinho Baik",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"This is the second meeting of the Probability\/Analysis Circle, a new event for juniors, seniors, and master\u2019s students interested in probability and analysis. Eigenvalues of a symmetric matrix are complicated functions of the matrix\u2019s entries. If we view the mapping from the entries of a symmetric matrix to its eigenvalues and eigenvectors as a change of variables, what is the Jacobian? We will compute it for the 2x2 case and discuss the general nxn case. Then, we\u2019ll use this formula to explore the distribution of random eigenvalues for certain random symmetric matrices. Students are expected to know multivariable calculus.",
        "occurrence_notes":null,
                "guid":"144430-21895346@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/144430",
        "building_id":"1000166",
        "building_name":"East Hall",
        "campus_maps_id":"53",
        "room":"4088",
        "location_name":"East Hall",
        "has_livestream":0,
        "cost":"",
        "tags":["Mathematics"],
        "website":"",
        "sponsors":[
             {
                "group_name":"Probability and Analysis Seminar - Department of Mathematics",
                "group_id":"5203",
                "website":"https:\/\/sites.google.com\/view\/probsemumich\/future-talks"                },             {
                "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":21895346
    }    ,    "143802-21894055":
    {
        "datetime_modified":"20260324T085405",
        "datetime_start":"20260128T160000",
        "datetime_end":"20260128T170000",
        "has_end_time":1,
        "date_start":"2026-01-28",
        "date_end":"2026-01-28",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Unpacking the News with U-M Faculty Experts",
        "occurrence_title":"",
        "combined_title":"Unpacking the News with U-M Faculty Experts: Join U-M Faculty experts to discuss what's happening now",
        "event_subtitle":"Join U-M Faculty experts to discuss what's happening now",
        "event_type":"Meeting",
        "event_type_id":"14",
        "description":"Each session offers a space to pause, sort out what\u2019s happening, and engage in thoughtful, civil discussion with peers. Bring your questions, your curiosity, and your perspective\u2014no preparation required.\n\nJosh Pasek is Professor of Communication & Media and Political Science, Faculty Associate at the Center for Political Studies, Institute for Social Research, and Associate Director of the Michigan Institute for Data Science at the University of Michigan.",
        "occurrence_notes":null,
                "guid":"143802-21894055@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/143802",
        "building_id":"1000120",
        "building_name":"Michigan Union",
        "campus_maps_id":"191",
        "room":"Pond Room",
        "location_name":"Michigan Union",
        "has_livestream":0,
        "cost":"",
        "tags":["Civic Engagement","Civic Learning","Culture","Education","Free","In Person","Media","Politics","Social Impact","Talk","Undergraduate"],
        "website":"https:\/\/democracy.umich.edu\/",
        "sponsors":[
             {
                "group_name":"Democracy & Civic Empowerment",
                "group_id":"5335",
                "website":"https:\/\/democracy.umich.edu\/"                }                    ],
        "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/03\/event_143802_original-1.png",
        "styled_images":{
                                        "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/group_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/group_thumb_square\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "group_large":"https:\/\/events.umich.edu\/media\/cache\/group_large\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/group_large_lightbox\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/event_large_crop\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_list":"https:\/\/events.umich.edu\/media\/cache\/event_list\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/event_grid_2x\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/event_feature_large\/media\/attachments\/2026\/03\/event_143802_original-1.png",
                                            "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/03\/event_143802_original-1.png"                    },
        "occurrence_count":13,
        "first_occurrence":21894053
    }    }
