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SUMMARY:The intrinsic allure of extrinsic curvature - Professor Philip Nel
 son (University of Pennsylvania)
DTSTART:20190509T110000Z
DTEND:20190509T120000Z
UID:TALK123715@talks.cam.ac.uk
CONTACT:81583
DESCRIPTION:A 2D surface embedded in ordinary Euclidean 3-space carries an
  invariantly defined function that quantifies whether or not we can map it
  isometrically to the usual flat plane. This "intrinsic curvature" gets st
 ar billing in physics because its generalization to higher dimensions figu
 res in the general theory of relativity. But a surface that is intrinsical
 ly flat may nevertheless be embedded in 3-space in a way that is clearly c
 urved in the everyday sense. The "extrinsic curvature" needed to quantify 
 this property has its own allure. For example\, it appears in physical mod
 els appropriate for interfaces and fluid membranes. I'll conclude by sketc
 hing some technological implications\, both for biology and even in data s
 cience. 
LOCATION:Room 3\, Mill Lane Lecture Rooms\, 8 Mill Lane\, Cambridge
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