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SUMMARY:Dan Freed (University of Texas at Austin)
DTSTART;VALUE=DATE-TIME:20190916T203000Z
DTEND;VALUE=DATE-TIME:20190916T220000Z
DTSTAMP;VALUE=DATE-TIME:20240328T235538Z
UID:PeterScherkLectures/1
DESCRIPTION:Title: 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;VALUE=DATE-TIME:20211116T210000Z
DTEND;VALUE=DATE-TIME:20211116T223000Z
DTSTAMP;VALUE=DATE-TIME:20240328T235538Z
UID:PeterScherkLectures/2
DESCRIPTION:Title: An Overview of Knots and Gauge Theory\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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