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A Categorification of the Boson-Fermion Correspondence

Algebra & Discrete Mathematics

Speaker: Nicolle Gonzalez, University of Southern California
Related Webpage: https://sites.google.com/usc.edu/nicollesandovalgonzalez/who-am-i
Location: 1147 MSB
Start time: Mon, Apr 23 2018, 3:10PM

The Boson-Fermion correspondence is a fundamental relationship in mathematical physics relating the Fock spaces of two elementary particles, bosons and fermions. Given that bosonic and fermionic Fock spaces are irreducible representations of the Heisenberg and Clifford algebras, the correspondence yields a way of relating these two actions via the theory of vertex operators. In this talk we will explain this correspondence from an algebraic and combinatorial perspective and discuss a categorification of this relationship.