Lie superalgebras, representations and characters

Sun, 04/01/2015 - 12:00
Lie superalgebras and their representations were introduced to mathematics to study supersymmetry in theoretical physics and have since been applicable in algebra, combinatroics, number theory and various other fields.
We shall discuss the recently proved Kac-Wakimoto character formula for representations of Lie superalgebras and its specializations to formulas in combinatorics and number theory such as the Jacobi formula for counting the number of presentations of an integer as a sum of k squares.