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Towards a categorical boson-fermion correspondence

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HTLW04 - Quantum topology and categorified representation theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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