Seminar on Discrete Mathematics: Deformed free fermions and factorial Schur functions
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：Travis Scrimshaw（Hokkaido University）
： 2026-03-13 15:00
：Conference Room S102 at Experiment Building at Haiyun Campus
Speaker：Travis Scrimshaw（Hokkaido University）
Time：2026-3-13 15:00
Location：Conference Room S102 at Experiment Building at Haiyun Campus
Abstract:
The boson-fermion correspondence is a classical result in mathematical physics that relates two very different concepts, which in terms of mathematics is an isomorphism between an infinite wedge space and a polynomial ring in infinitely many variables as Heisenberg Lie algebra representations. This gives a method to construct Schur functions and prove a number of identities using a fairly simple calculus. In this talk, we will present a new inhomogeneous deformation of this correspondence by using shifted powers and show that we obtain the factorial Schur functions and a number of identities. This is based on joint work with Daniel Bump and Andrew Hardt.
