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UID:0-8397@eng.ufl.edu
DTSTART;TZID=America/New_York:20260409T125000
DTEND;TZID=America/New_York:20260409T134000
DTSTAMP:20260325T202744Z
URL:https://www.eng.ufl.edu/news-events/events/mae-seminar-elasticity-doub
 le-forms-and-vector-bundles/
SUMMARY:MAE Seminar: Elasticity\, Double forms\, and Vector Bundles
DESCRIPTION:MAE Seminar: Elasticity\, Double forms\, and Vector Bundles\nDa
 te: April 9\, 2026\nTime: 12:50 PM Location: MAE-A 303\nDr. Anil Hirani\nP
 rofessor\nDepartment of Mathematics\nUniversity of Illinois at Urbana-Cham
 paign\nAbstract\nLinearized elasticity and continuum models for crystal de
 fects (dislocations\, disclinations\, point defects) fit neatly into some 
 diagrams that first appeared in geometry and are now one of the hottest to
 pics in some areas of numerical analysis. There are many other physical th
 eories that appear in these diagrams\, but I will focus on elasticity\, es
 pecially the role of and geometric meaning of the incompatibility operator
  and the hessian. The diagrams not only encapsulate several physical theor
 ies\, they are also leading to discoveries of new finite element spaces. T
 he main actors in these diagrams are form valued differential forms\, or d
 ouble forms. Each row in the diagram is a sequence of vector bundles with 
 connection. I will show a discretization of such rows that we have been de
 veloping and show some computations for biharmonic equation and linearized
  elasticity in the plane.\nBiography\nThe speaker got his graduate degrees
  in Computer Science at Stanford and Caltech. He is currently Professor of
  Mathematics at University of Illinois at Urbana-Champaign before which he
  was in the CS department there. He has worked at Sun Microsystems as a co
 mputer graphics software engineer\, at Sony Corporation as a researcher in
  image processing\, and at NASA’s Jet Propulsion Laboratory in space mis
 sion design.\nFaculty Host: Dr. James Fairbanks
CATEGORIES:Seminars
LOCATION:MAE-A Room 303\, 939 Sweetwater Drive\, Gainesville\, FL\, 32611\,
  United States
GEO:29.643814;-82.34865
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  303:geo:29.643814,-82.34865
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DTSTART:20260308T030000
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