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SUMMARY:Dan Freed (University of Texas at Austin)
DTSTART:20190916T203000Z
DTEND:20190916T220000Z
DTSTAMP:20260404T094428Z
UID:PeterScherkLectures/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Peter
 ScherkLectures/1/">An Application of Homotopy Theory to Condensed Matter P
 hysics</a>\nby Dan Freed (University of Texas at Austin) as part of Peter 
 Scherk Lectures in Geometry\n\n\nAbstract\nThe classification of phases of
  matter is a topic of much current interest.  While descriptions of quantu
 m mechanical systems often use discrete lattice models\, one can typically
  approximate by\n          continuous field theories.  There is a well-dev
 eloped mathematical\n          framework for studying field theories\, and
  this brings powerful\n          techniques to the table.  In this general
  talk\, I will describe\n          joint work with Mike Hopkins in which w
 e carry out this scheme for\n          invertible phases of matter and ded
 uce the classification in terms\n          of bordism groups of manifolds.
   Much of the talk will focus on\n          general ideas at an elementary
  level.\n
LOCATION:https://stable.researchseminars.org/talk/PeterScherkLectures/1/
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SUMMARY:Edward Witten (Institute for Advanced Study)
DTSTART:20211116T210000Z
DTEND:20211116T223000Z
DTSTAMP:20260404T094428Z
UID:PeterScherkLectures/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Peter
 ScherkLectures/2/">An Overview of Knots and Gauge Theory</a>\nby Edward Wi
 tten (Institute for Advanced Study) as part of Peter Scherk Lectures in Ge
 ometry\n\n\nAbstract\nThe Jones polynomial of a knot\, discovered in 1983\
 , is a very subtle invariant that is related to a great deal of mathematic
 s and physics. This talk will be an overview of quantum field theories in 
 dimensions 2\, 3\, 4 and 5 that are intimately related to the Jones polyno
 mial of a knot and a more contemporary refinement of it that is known as K
 hovanov homology.\n
LOCATION:https://stable.researchseminars.org/talk/PeterScherkLectures/2/
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