Abstract
The author's research directions on Krichever-Novikov algebras was inspired by Julius Wess. After some recollections of Julius Wess, mainly from his Karlsruhe time, an overview over these (multi-point) algebras is given. They generalize the Witt, Virasoro, and related algebras to higher genus Riemann surfaces. Differential operator algebras, current algebras and their central extensions are discussed. For the two point situation some of these algebras were introduced by Krichever and Novikov in 1986. The multi-point generalization and the general setting is due to the author. References for further directions and applications are given.
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