Zoom link https://unm.zoom.us/j/97004030448 (contact vassilev@unm.edu for passcode)

Title: The bigraded Rumin complex

Abstract: The Rumin and bigraded Rumin complex are CR analogues of the De Rham and Dolbeault complexes, respectively.  In this talk, I describe a new construction of these complexes using differential forms which gives both complexes the structure of an A-infinity algebra.  I will also describe Hodge theorems relevant to both complexes.  Finally, I will discuss how these results indicate that the second page of the CR analogue of the Frolicher spectral sequence is in some ways the better analogue of the Dolbeault complex, including through a Hodge decomposition theorem for Sasakian manifolds analogous to that on Kahler manifolds.