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DTSTART:20070311T020000
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DTSTAMP:20251226T220321
DTSTART;TZID=America/Detroit:20260127T160000
DTEND;TZID=America/Detroit:20260127T170000
SUMMARY:Lecture / Discussion:Colloquium: Topology\, graphs\, and data
DESCRIPTION:This talk will be an introduction to the emerging area of discrete\nhomotopy theory\, which applies intuitions and techniques from the\ncontinuous setting to discrete objects such as graphs. It has found a\nbroad range of applications\, both within and outside mathematics\,\nincluding to matroid theory\, hyperplane arrangements\, and data analysis.\n\nI will discuss two of my own contributions to discrete homotopy theory\,\none more theoretical and one more applied. The first is a proof\, joint\nwith D. Carranza (Compos. Math.\, 2024)\, of the conjecture by E. Babson\,\nH. Barcelo\, M. de Longueville\, and R. Laubenbacher that discrete\nhomotopy groups can be topologically realized. The second\, joint with N.\nKershaw (arXiv:2506.15020)\, builds on this result and introduces a new\nmethod of data analysis\, which we call persistent discrete homology. We\nshow that in addition to its utility for clustering\, it can detect other\ngeometric features of a data set. It is furthermore highly noise\nresistant\, and as such provides a powerful alternative to the usual\nmethods of (unsupervised) machine learning\, especially in areas subject\nto high uncertainty\, such as seismology or crime linkage.
UID:143123-21892177@events.umich.edu
URL:https://events.umich.edu/event/143123
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1360
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20251118T133619
DTSTART;TZID=America/Detroit:20260127T160000
DTEND;TZID=America/Detroit:20260127T170000
SUMMARY:Lecture / Discussion:CPOD Winter 2026 Seminar Series: “Visualizing gene regulation post traumatic brain injury with spatial epigenetics”
DESCRIPTION:Yang Xiao\, Ph.D.\nAssistant Professor\nPathology\nUniversity of Michigan
UID:141985-21889737@events.umich.edu
URL:https://events.umich.edu/event/141985
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:In Person,Undergraduate Students,seminar,Science,Research,Rackham,Public Health,Postdoctoral Research Fellows,Medicine,Life Science,Lecture,Interdisciplinary,AEM Featured,human genetics,Graduate Students,Graduate School,Free,Engineering,Education,Ecology,Biosciences,biomedical engineering,biomedical,Biology,Biointerfaces,Basic Science
LOCATION:Taubman Biomedical Science Research Building - ABC Seminar Rooms
CONTACT:
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