printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

algebra seminar

nicolle sandoval gonzalez

usc

categorical bernstein operators and the boson-fermion correspondence

abstract:

bernstein operators are vertex operators that create and annhilate schur polynomials. these operators play a significant role in the mathematical formulation of the boson-fermion correspondence due to kac and frenkel. the role of this correspondence in mathematical physics has been widely studied as it bridges the actions of the infinite heisenberg and clifford algebras on fock space. cautis and sussan conjectured a categorification of this correspondence within the framework of khovanov's heisenberg category. i will discuss how to categorify the bernstein operators and settle the cautis-sussan conjecture, thus proving a categorical boson-fermion correspondence.

host: henry tucker

december 4, 2018

2:00 pm

ap&m 5829

****************************