Nilmanifolds and Gradings on Nilpotent Lie Algebras
Yuri Bahturin, Memorial University, Canada
Location: Stevenson 1310
We give a complete description of gradings by abelian groups on certain classes of nilpotent Lie algebras, including Lie algebras of maximal class. This has consequences concerning symmetries on homogeneous spaces of nilpotent Lie groups. These results are joint with Elizabeth Remm and Michel Goze (Univesite de Haut Alsace, France).
Mixing on Rank-One Transformations
Darren Creutz, Vanderbilt University
Location: Stevenson 1432
In this talk on a more classical part of ergodic theory, that of Z-actions, I will explain the construction of rank-one transformations via cutting and stacking that goes back to von Neumann and Kakutani and has been used to create examples and counterexamples of various mixing-like properties. Following the explanation of the subject, I will present some of my work on when such transformations are mixing. Some of the results presented are joint work with Cesar Silva.