Perturbation results for some parabolic algebraic actions

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, November 17, 2008 - 11:30am to 12:30pm
Location: 
431 DL
Speaker: 
Danijela Damjanovic
Speaker affiliation: 
Harvard University
Event description: 

I will discuss local structure for unipotent-generated rank-two abelian actions on homogeneous spaces X/L, where X is SL(2, R)XSL(2, K), with K real or complex, and L a cocompact irreducible lattice. Unlike their rank-one counterparts (horocycle flows) these rank-two actions have vanishing first cohomology, which implies a weak form of local classification