{ "144446-21895363": { "datetime_modified":"20260125T172305", "datetime_start":"20260127T150000", "datetime_end":"20260127T160000", "has_end_time":1, "date_start":"2026-01-27", "date_end":"2026-01-27", "time_start":"15:00:00", "time_end":"16:00:00", "time_zone":"America\/Detroit", "event_title":"Derived Fun: Towards Homotopical Algebra", "occurrence_title":"", "combined_title":"Derived Fun: Towards Homotopical Algebra: Ajay Srinivasan", "event_subtitle":"Ajay Srinivasan", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"Derived functors play a central role in commutative algebra, organizing algebraic computations through exact sequences and homological methods. This talk begins with a brief conceptual revisit of derived functors in homological algebra, and then examines K\u00e4hler differentials of commutative rings as a motivating example for why we want derived functors beyond abelian categories. \n\nTo address this problem, we trace Dan Quillen\u2019s insight that homotopical methods provide an ideal framework for defining derived functors in nonabelian settings. Along the way, we encounter his definition of model categories, which have since become central tools in modern homotopy theory. From this perspective, the cotangent complex arises as a derived replacement for K\u00e4hler differentials. We will outline the construction of the cotangent complex and discuss some of its powerful applications to deformation theory. Time permitting, I will say something about how the homotopical viewpoint reconciles with homological algebra.", "occurrence_notes":null, "guid":"144446-21895363@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/144446", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3088", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Student Commutative Algebra Seminar - Department of Mathematics", "group_id":"4908", "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":21895363 } , "143123-21892177": { "datetime_modified":"20251226T220321", "datetime_start":"20260127T160000", "datetime_end":"20260127T170000", "has_end_time":1, "date_start":"2026-01-27", "date_end":"2026-01-27", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Colloquium: Topology, graphs, and data", "occurrence_title":"", "combined_title":"Colloquium: Topology, graphs, and data: Chris Kapulkin, University of Western Ontario", "event_subtitle":"Chris Kapulkin, University of Western Ontario", "event_type":"Lecture \/ Discussion", "event_type_id":"13", "description":"This talk will be an introduction to the emerging area of discrete\r\nhomotopy theory, which applies intuitions and techniques from the\r\ncontinuous setting to discrete objects such as graphs. It has found a\r\nbroad range of applications, both within and outside mathematics,\r\nincluding to matroid theory, hyperplane arrangements, and data analysis.\r\n\r\nI will discuss two of my own contributions to discrete homotopy theory,\r\none more theoretical and one more applied. The first is a proof, joint\r\nwith D. Carranza (Compos. Math., 2024), of the conjecture by E. Babson,\r\nH. Barcelo, M. de Longueville, and R. Laubenbacher that discrete\r\nhomotopy groups can be topologically realized. The second, joint with N.\r\nKershaw (arXiv:2506.15020), builds on this result and introduces a new\r\nmethod of data analysis, which we call persistent discrete homology. We\r\nshow that in addition to its utility for clustering, it can detect other\r\ngeometric features of a data set. It is furthermore highly noise\r\nresistant, and as such provides a powerful alternative to the usual\r\nmethods of (unsupervised) machine learning, especially in areas subject\r\nto high uncertainty, such as seismology or crime linkage.", "occurrence_notes":null, "guid":"143123-21892177@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/143123", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"1360", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"https:\/\/www.math.uwo.ca\/faculty\/kapulkin\/index.html", "sponsors":[ { "group_name":"Colloquium Series - Department of Mathematics", "group_id":"4884", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2025\/12\/event_143123_original-1.jpg", "styled_images":{ 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Veidlinger will moderate an exchange between Shai Feldman (Chair on Israeli Politics and Society at Brandeis University) and Khalil Shikaki (director of the Palestinian Center for Policy and Survey Research in Ramallah, Palestine) as they explore the feasibility and potential outcomes of moving from October 7 to peacemaking.", "occurrence_notes":null, "guid":"137003-21879402@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/137003", "building_id":"1000172", "building_name":"Rackham Graduate School (Horace H.)", "campus_maps_id":"71", "room":"Rackham Amphitheatre", "location_name":"Rackham Graduate School (Horace H.)", "has_livestream":0, "cost":"", "tags":["Discussion","Education","Faculty","Free","Graduate","Graduate and Professional Students","Graduate School","Civic Engagement","Graduate Students","History","Humanities","Jewish Studies","Undergraduate Students","Undergraduate","Staff","Social Sciences","Social Justice","Social","International","Middle East Studies","Open Inquiry","Philosophy","Social Impact"], "website":"https:\/\/docs.google.com\/forms\/d\/e\/1FAIpQLSfY1mAAjQvIIXB-W0vpizm_G1xT3qt9qkEnwYjlXojodw-9Eg\/viewform?usp=header", "sponsors":[ { "group_name":"Raoul Wallenberg Institute", "group_id":"5270", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/01\/event_137003_original-6.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_thumb\/media\/attachments\/2026\/01\/crop-event_137003_original-6.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/01\/crop-event_137003_original-6.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/01\/crop-event_137003_original-6.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/01\/crop-event_137003_original-6.png", 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Chos\u014fn Korea", "occurrence_title":"", "combined_title":"Nam Center Colloquium Series | Private Violence and the Law in Late Chos\u014fn Korea: Ha-kyoung Lee, Academy of Korean Studies", "event_subtitle":"Ha-kyoung Lee, Academy of Korean Studies", "event_type":"Lecture \/ Discussion", "event_type_id":"13", "description":"Please note: This lecture will be held in person and virtually on Zoom. The webinar is free and open to the public, but registration is required. Once you've registered, joining information will be sent to your email. Register for the Zoom webinar at: https:\/\/myumi.ch\/QwX2k\r\n\r\nThis lecture examines how the Chos\u014fn State addressed the problem of private violence, focusing on adultery-related homicides. While the State criminalized adultery under legal codes, the law allowed a notable exception that justified private violence: if a husband killed his wife and her lover when caught in the act, he could be exempt from punishment. By the late eighteenth century, the exception was more broadly interpreted, extending leniency to other kin, such as sons and brothers-in-law, and loosening the requirement that the killing occur immediately at the scene. Did these developments reflect a weakening of state authority, or a different logic of governance? The lecture argues that they embodied the state\u2019s effort to reconcile centralized legal authority with Confucian ideals of familial honor, thereby illuminating how Chos\u014fn Korea negotiated the boundary between public governance and private moral obligation.\r\n \r\nHa-kyoung Lee is an Associate Professor in the Department of Political Science at the Academy of Korean Studies. Her research investigates the intersections of law, authority, and governance in premodern Asia, with a particular emphasis on the legislative processes and legal practices of Chos\u014fn Korea (1392\u20131910). She is currently working on two projects: Confucian Moral Ethics, Moral Crimes, and the State in Chos\u014fn Korea (funded by the National Research Foundation, 2025-2027) and Koreans\u2019 Legal Literacy: Its Historical Formation and Development (supported by the Institute for Legal Studies at Yonsei University, 2025-2031). Her recent publications include \u201cRoles and Challenges of Legal Officials During King Ch\u014fngjo\u2019s Reign,\u201d The Journal of Korean Studies (forthcoming in Vol. 31, no. 2, 2026). This lecture draws from her ongoing research as a Visiting Scholar at the Nam Center for Korean Studies, University of Michigan.\r\n \r\n*Accommodation: If there is anything we can do to make this event accessible to you, please contact us at ncks.info@umich.edu. Please be aware that advance notice is necessary as some accommodations may require more time for the university to arrange.*", "occurrence_notes":null, "guid":"143253-21892555@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/143253", "building_id":"1000165", "building_name":"Weiser Hall", "campus_maps_id":"47", "room":"Room 555", "location_name":"Weiser Hall", "has_livestream":0, "cost":"", "tags":["Korean Studies","Law","Korea","History","Asian Languages And Cultures"], "website":"https:\/\/myumi.ch\/QwX2k", "sponsors":[ { "group_name":"Nam Center for Korean Studies", "group_id":"2738", "website":"http:\/\/www.ii.umich.edu\/ncks" }, { "group_name":"International Institute", "group_id":"1968", "website":"http:\/\/www.ii.umich.edu" }, { "group_name":"Asian Languages and Cultures", "group_id":"3364", "website":"http:\/\/www.lsa.umich.edu\/asian" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/01\/event_143253_original-1.png", "styled_images":{ 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Participants will develop a deeper understanding of what the term \u201ccommunity engagement\u201d means, as well as the many forms it might take - from research and course-based projects to philanthropy, activism, policy, and direct service. Across all these forms of engagement, participants will learn concepts and actions that promote equitable partnerships, center community-defined priorities, and disrupt entrenched power dynamics between universities and community members. 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