Towards a categorical boson-fermion correspondence

Duration: 55 mins 50 secs
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Description: Tian, Y (Tsinghua University)
Thursday 29th June 2017 - 14:30 to 15:30
 
Created: 2017-07-11 10:27
Collection: Homology theories in low dimensional topology
Publisher: Isaac Newton Institute
Copyright: Tian, Y
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The celebrated boson-fermion correspondence is an isomorphism between the bosonic Fock space and the fermionic Fock space. We present categorification of the bosonic Fock space and the Heisenberg algebra which is a modification of Khovanov's Heisenberg category. The categorifcation of the fermionic Fock space is based on Honda's category studying contact topology in dimension three. This is a joint work with Mikhail Khovanov.
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