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SUMMARY:Dan Freed (University of Texas at Austin)
DTSTART:20190916T203000Z
DTEND:20190916T220000Z
DTSTAMP:20260422T212750Z
UID:PeterScherkLectures/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PeterScherkL
 ectures/1/">An Application of Homotopy Theory to Condensed Matter Physics<
 /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 quantum mecha
 nical systems often use discrete lattice models\, one can typically approx
 imate by\n          continuous field theories.  There is a well-developed 
 mathematical\n          framework for studying field theories\, and this b
 rings powerful\n          techniques to the table.  In this general talk\,
  I will describe\n          joint work with Mike Hopkins in which we carry
  out this scheme for\n          invertible phases of matter and deduce 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://researchseminars.org/talk/PeterScherkLectures/1/
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SUMMARY:Edward Witten (Institute for Advanced Study)
DTSTART:20211116T210000Z
DTEND:20211116T223000Z
DTSTAMP:20260422T212750Z
UID:PeterScherkLectures/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PeterScherkL
 ectures/2/">An Overview of Knots and Gauge Theory</a>\nby Edward Witten (I
 nstitute for Advanced Study) as part of Peter Scherk Lectures in Geometry\
 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 mathematics and p
 hysics. This talk will be an overview of quantum field theories in dimensi
 ons 2\, 3\, 4 and 5 that are intimately related to the Jones polynomial of
  a knot and a more contemporary refinement of it that is known as Khovanov
  homology.\n
LOCATION:https://researchseminars.org/talk/PeterScherkLectures/2/
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