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DTSTART:20070311T020000
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DTSTAMP:20251111T102033
DTSTART;TZID=America/Detroit:20260109T150000
DTEND;TZID=America/Detroit:20260109T160000
SUMMARY:Lecture / Discussion:AIM Seminar:  The Willmore energy and curvature concentration
DESCRIPTION:Abstract:  We study isometric immersions of a two-dimensional Riemannian surface into three-dimensional Euclidean space. We consider their bending energy\,  i.e.\, the square-integral of their second fundamental form\, which is equivalent to the Willmore functional. We obtain two new lower bounds for this energy\, one in terms of the Gaussian curvature of the surface\, and the other in terms of a Burgers vector---a measure of non-flatness connected to torsion. These new estimates provide optimal blowup rates of the energy when the curvature is concentrated (e.g.\, in a conical geometry). In the more subtle case of dipoles of concentrated curvature\,  we use the Burgers vector estimates to obtain an optimal blowup rate in terms of the size of the system. Our motivation comes from non-Euclidean elasticity\, in which cones and curvature-dipoles play a central role. The lower bounds derived in this work directly yield lower bounds for the elastic energy of thin elastic sheets. The derivation of the curvature-based lower bound involves an isoperimetric inequality for framed loops\, which we believe to be of independent interest.\n\nContact:  Ian Tobasco
UID:140580-21887369@events.umich.edu
URL:https://events.umich.edu/event/140580
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1084
CONTACT:
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DTSTAMP:20260109T164133
DTSTART;TZID=America/Detroit:20260109T150000
DTEND;TZID=America/Detroit:20260109T160000
SUMMARY:Other:Capstone & Community - Essential Skills for the Workplace: Project Management
DESCRIPTION:This workshop will cover practical project management skills relevant to those with foundational experience gained from client-based projects and internships. Participants will review essential techniques and explore new strategies for effective planning and communication. Through real-world examples and hands-on activities\, this workshop aims to help attendees strengthen their project management toolkit and prepare for professional roles and upcoming job searches.
UID:143632-21893539@events.umich.edu
URL:https://events.umich.edu/event/143632
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Community
LOCATION:UMSI Central - Room 201 (Great Room)
CONTACT:
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