Event

Talk
Modular realizations of hyperbolic Weyl groups
Prof. Dr. Hermann Nicolai
29 Nov 2011, 16:00 – 17:00

For hyperbolic Kac--Moody algebras of ranks 3,4,6 and 10,
the associated Weyl groups can be realized as generalized modular groups over the four normed division algebras. The corresponding modular transformations can be realized on generalized upper half planes, in analogy with the Moebius action of SL(2,Z) on the usual complex upper half plane. In this talk I review this construction, with particular attention to the maximal rank case (octonions), and -- time permitting -- explain the possible relevance of the associated automorphic functions for mini-superspace models of quantum gravity.

Related to:

• Hermann Nicolai