Kac-Moody Algebras, the Monstrous Moonshine, Jacobi Forms and Infinite   Products
  In this article, we discuss the relation between Kac-Moody algebras, the monstrous moonshine, Jacobi forms and infinite products. We also review Borcherds' solution of the Moonshine Conjecture and his work of constructing automorphic forms on the orthogonal group which can be written as infinite products. 
Jae-Hyun Yang