Calendar
Friday, April 26, 2024
Time  Items 

All day 

10am 
04/26/2024  10:00am The BosonFermion correspondence has found connection to symmetric functions through its application for deriving soliton solutions of the KP equations. In this framework, the space of Young diagrams is the Fermionic Fock space, while the ring of symmetric functions is the Bosonic Fock space. Then the (second part of) BF correspondence asserts that the map sending a partition to its Schur function forms an isomorphism as Hmodules, with H being the Heisenberg algebra. In this talk, we give a generalization of this correspondence into the context of Schubert calculus, wherein the space of infinite permutations plays the role of the fermionic space, and the ring of backstable symmetric functions represents the bosonic space. Location:
KT801

2pm 
04/26/2024  2:30pm I will propose two classes of algebras which are generalizations/enhancements of the Virasoro algebra in conformal field theory. The first class of examples exists in any dimension, and like the Virasoro Lie algebra, are built from central extensions of vector fields. The second example exists only in dimension three and appears as an enhancement of conformal symmetry in the famous AGT correspondence. Location:
KT217
