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Seminar
FIELD Mathematics
DATE June 11 (Wed), 2014
TIME 10:00-11:00
PLACE 7323
SPEAKER Cho, Jinseok
HOST Cho, Jinseok
INSTITUTE KIAS
TITLE Introduction to the volume conjecture
ABSTRACT

We explain the definition of the Kashaev invariant of a link using the
R-matrix and introduce the volume conjecture.
Especially, we follow Kashaev's original idea of calculating the limit
of the Kashaev invariant
and formulate his method as the optimistic limit of the Kashaev invariant.
Then, we revise the optimistic limit and show that it determines the
volume and the Chern-Simons invariant of the hyperbolic knot.
Finally, we introduce ongoing developments of this concept briefly.

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