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Tim Hosgood (Apr 11 2022 at 14:07):This week the Em-Cats seminar has another installment! Wednesday the 13th of April at 15:00UTC
Tim Hosgood (Apr 11 2022 at 14:07):Jennifer Brown: Skein Categories and Quantization
The beautiful AJ conjecture predicts that a (yet-undefined) quantization of one knot invariant — the A-polynomial — annihilates another famous invariant, the colored Jones polynomial. This conjecture was formulated independently by both mathematicians and physicists, and is open but well supported.
The term "quantization" comes from physics, where it describes the transition from a classical to a quantum description of a system. Mathematically, it is a construction that deforms a commutative algebra into a non-commutative one.
The A-polynomial is constructed from the character variety of a knot's complement. We will describe recent work on quantizing this construction using skein categories, with the help of categorical actions, monads, and representable functors. This talk is based on joint work in progress with David Jordan and Tudor Dimofte.
Tim Hosgood (Apr 11 2022 at 14:08):Zoom: https://topos-institute.zoom.us/j/86201468397?pwd=L0NER3FCOFZpTHRWMWVVMEZ5ckJoZz09
YouTube: https://www.youtube.com/watch?v=K2KQECKcbFs
Tim Hosgood (Apr 13 2022 at 13:30):starting in 90 minutes!