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SUMMARY:SF Lecture: (Homological) Knot Invariants From Mirror Symmetry
DTSTART;VALUE=DATE-TIME:20211117T220000Z
DTEND;VALUE=DATE-TIME:20211117T231500Z
DTSTAMP;VALUE=DATE-TIME:20220121T091100Z
UID:indico-event-2686@indico.flatironinstitute.org
CONTACT:lectures@simonsfoundation.org
DESCRIPTION:Registration link:\nhttps://www.eventbrite.com/e/homological-k
not-invariants-from-mirror-symmetry-registration-194572510617\n\nQuantum i
nvariants of knots (also known as Chern-Simons knot invariants) have many
applications in mathematics and physics. For example\, Khovanov showed in
1999 that the simplest such invariant\, the Jones polynomial\, arises as
the Euler characteristic of a homology theory. The knot categorification p
roblem is to find a general construction of knot homology groups and to ex
plain their meaning: What are they homologies of?\n\nMirror symmetry is an
other important strand in the interaction between mathematics and physics.
Homological mirror symmetry\, formulated by Kontsevich in 1994\, naturall
y produces hosts of homological invariants. Sometimes\, it can be made man
ifest\, and then its striking mathematical power comes to the fore. Typica
lly\, though\, it leads to invariants that have no particular interest out
side of the problem at hand.\n\nIn this lecture\, Mina Aganagic will prese
nt how she recently showed there is a vast new family of mirror pairs of m
anifolds\, for which homological mirror symmetry can be made manifest. The
y do lead to interesting invariants. In particular\, they solve the knot c
ategorification problem.\n\nSpeaker Bio:\nAganagic is a professor of math
ematics and physics at the University of California\, Berkeley. She applie
s string theory to problems in pure mathematics\, including knot theory\,
enumerative geometry\, representation theory and geometric Langlands. She
received a Department of Energy Outstanding Junior Investigator Award\, a
Sloan Fellowship\, a Simons Investigator Award\, and she was elected a fel
low of the American Physical Society. She is an invited speaker at the 202
2 ICM in Saint Petersburg.\n\nSCHEDULE\nDoors Open: 4:30 PM\nLecture: 5:00
- 6:15 PM\n\nRegistration is required for this free\, in-person event.\n\
nFurther instructions will be sent to all registrants upon sign up.\nhttp
s://indico.flatironinstitute.org/event/2686/
LOCATION:Gerald D. Fischbach Auditorium (160 Fifth Av.)
URL:https://indico.flatironinstitute.org/event/2686/
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