In this talk, we discuss left-invariant CR structures on compact, semisimple Lie groups. We show that, if the CR structure is of hypersurface type and a suitable diophantine condition is satisfied, then the tangential Cauchy-Riemann cohomology groups can be computed entirely on a maximal torus. As a consequence, the cohomology groups are finite-dimensional. This result also applies to complex structures and recovers a classical result of Pittie (1988). In the Levi-flat situation, it also recovers a result of Jacobowitz-Jahnke (2023). This is joint work with Howard Jacobowitz, Max Jahnke and Konstantin Wehler.
On the cohomology of CR structures on compact Lie groups
13.04.2026 13:15 - 14:45
Organiser:
Luke Edholm
Location:
BZ09