### Monday September 30, 2002

**Speaker**: Bong Lian

**Title**: The Boson-Fermion Correspondence

**Abstract**: In dimension 4, the physics of bosons and fermions are
distinguished by their spins. In mathematical terms,
their particle states form very different representations
of the rotation group SO(3). In dimension 2,
there is no notion of spin. As a result, bosons and fermions
are sometimes indistinguishable. I will explain one classic
example, discovered by string theorists in the 80s, and show how
it is related to an interesting property of the Jacobi theta function.
Required background for this talk is linear algebra and one complex
variable.