Jacob Mostovoy
Centro de Investigación y de Estudios Avanzados del IPN, Mexico
Nilpotent loops.
Abstract: The nilpotency theory for loops has been first developed by R.H. Bruck about half a century ago. It turns out, however, that his definition of nilpotency is not consistent with the non-associative Lie theory. I will describe the basics of a different theory of nilpotent loops, which does use Lie theoretic methods, and mention some open problems.