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Towards a categorical boson-fermion correspondence

Presented by: 
Yian Tian Tsinghua University
Date: 
Thursday 29th June 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons