# Jerusalem Mathematics Colloquium

Thursday, 3rd December 2009, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Maria Gorelik

(Weizmann)

"On an analogue of Macdonald identities"

** Abstract: **

In 1972 I.G. Macdonald generalized a classical formula of H. Weyl,
obtaining, in particular, a formula for certain powers of
the eta-function which include some classical identities of Jacobi. In
1994 V. Kac and M. Wakimoto conjectured a super-analogue of
Macdonald identities and proved it for some special cases.
Specializations of these identities give, in particular, Jacobi and
Legendre formulas for representing an integer as a sum of squares or
a sum of triangular numbers, respectively. In this talk I will
outline several approaches to Macdonald identities, in particular, a
new one, which leads to a proof of Kac-Wakimoto formulas.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2009-10

Archive of talks