Borcherds Products

Speaker:

Bernhard Heim

Affiliation:

GUtech Oman/ MPIM

Date:

Wed, 2011-08-10 14:15 - 15:15

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

Infinite products in the sense of Borcherds
have applications in many areas. They appear in the proof the moonshine
conjecture,
in physics (generalized Kac-Moody algebras, string theory), and number
theory.
The construction of Borcherds products is pretty complicated and non-linear.
In this talk we report on recent results [joint work with A. Murase].