BEGIN:VCALENDAR VERSION:2.0 PRODID:-//UM//UM*Events//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/Detroit TZURL:http://tzurl.org/zoneinfo/America/Detroit X-LIC-LOCATION:America/Detroit BEGIN:DAYLIGHT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:EDT DTSTART:20070311T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:EST DTSTART:20071104T020000 RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20261009T150233 DTSTART;TZID=America/Detroit:20261106T150000 DTEND;TZID=America/Detroit:20261106T160000 SUMMARY:Lecture / Discussion:AIM Seminar: The Geometry of Diffusion Generation: A Log-Density Ridge Perspective DESCRIPTION:Abstract: Diffusion models generate data by gradually transforming noise into structured samples. When these samples differ from the training examples\, what determines their geometric organization? In this talk\, I will present a framework based on log-density ridges of the smoothed empirical distribution. These evolving structures provide a geometric reference for analyzing generation relative to a finite training set. I will describe a reach–align–slide mechanism in reverse diffusion: samples enter a ridge neighborhood\, approach the ridge in normal directions\, and move along it relative to nearby training data. Our analysis relates alignment and local tangential motion to directional components of the learned denoising error\, connecting training error to generation geometry. This perspective helps explain how generated samples can organize around structures induced by the data while differing from individual training examples. Synthetic examples and MNIST latent-space experiments illustrate the predicted behavior. The talk will introduce the necessary background on diffusion models and log-density ridges.\n\nThis talk is based on joint work with Yitong Qiu and Molei Tao\, recently accepted at NeurIPS 2026.\n\nContact: Zhiyan Ding UID:148881-21905043@events.umich.edu URL:https://events.umich.edu/event/148881 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Mathematics,Applied Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20261020T211151 DTSTART;TZID=America/Detroit:20261113T150000 DTEND;TZID=America/Detroit:20261113T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Geometry for Physics Simulation DESCRIPTION:Abstract: Advances in simulation and scientific machine learning have made computation an engine of discovery. For increasingly complex physical systems\, however\, computational scale and model expressiveness alone may not suffice for faithful simulation\, exploration\, and inverse design. General-purpose representations often describe a space much larger than the set of physically admissible states. Computing in this larger space can require substantial effort to ensure that solutions respect the underlying geometry\, topology\, and conservation laws. A complementary path is to make this structure explicit. Through examples ranging from bending rods and slithering snakes to fluid flows and magnetic fields in plasmas\, this talk shows how geometric insight can make difficult problems computationally tractable\, how the resulting structure can be preserved and encoded in algorithms\, and how the exchange among theory\, discretization\, and application yields new mathematics alongside more effective computational tools.\n\n\nContact: Ian Tobasco UID:148882-21905044@events.umich.edu URL:https://events.umich.edu/event/148882 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132120 DTSTART;TZID=America/Detroit:20261120T150000 DTEND;TZID=America/Detroit:20261120T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: Zhiyan Ding UID:148883-21905045@events.umich.edu URL:https://events.umich.edu/event/148883 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20261022T142840 DTSTART;TZID=America/Detroit:20261204T150000 DTEND;TZID=America/Detroit:20261204T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: Ibrahim Ekren UID:148884-21905046@events.umich.edu URL:https://events.umich.edu/event/148884 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132204 DTSTART;TZID=America/Detroit:20261211T150000 DTEND;TZID=America/Detroit:20261211T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Open Slot DESCRIPTION:Abstract: TBA\n\nContact: TBA UID:148885-21905047@events.umich.edu URL:https://events.umich.edu/event/148885 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Mathematics,Applied Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132416 DTSTART;TZID=America/Detroit:20270219T150000 DTEND;TZID=America/Detroit:20270219T160000 SUMMARY:Workshop / Seminar:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: ???? UID:151603-21911814@events.umich.edu URL:https://events.umich.edu/event/151603 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132451 DTSTART;TZID=America/Detroit:20270226T150000 DTEND;TZID=America/Detroit:20270226T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: Ian Tobasco UID:151839-21912247@events.umich.edu URL:https://events.umich.edu/event/151839 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132520 DTSTART;TZID=America/Detroit:20270416T150000 DTEND;TZID=America/Detroit:20270416T160000 SUMMARY:Lecture / Discussion:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: Gokul Nair UID:152244-21913427@events.umich.edu URL:https://events.umich.edu/event/152244 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall - 1084 CONTACT: END:VEVENT BEGIN:VEVENT DTSTAMP:20260920T132613 DTSTART;TZID=America/Detroit:20270423T150000 DTEND;TZID=America/Detroit:20270423T160000 SUMMARY:Workshop / Seminar:AIM Seminar: Title TBA DESCRIPTION:Abstract: TBA\n\nContact: ???? UID:151605-21911817@events.umich.edu URL:https://events.umich.edu/event/151605 CLASS:PUBLIC STATUS:CONFIRMED CATEGORIES:Applied Mathematics,Mathematics LOCATION:East Hall CONTACT: END:VEVENT END:VCALENDAR