The Rumin algebra of a contact manifold

GAP (Geometry, Algebra, Physics) Seminar

Meeting Details

For more information about this meeting, contact Donna Cepullio, Ping Xu, Mathieu Stiénon.

Speaker: Jeffrey Case, Penn State

Abstract: On a contact manifold, the Rumin complex is a differential complex which computes de Rham cohomology. In this talk, I show that the Rumin complex is a deformation retract of the de Rham complex, thereby recovering the $A_\infty$-structure on the former which was previously defined by ad hoc methods. If time allows, I will also discuss some possible applications to formality.

Room Reservation Information

Room Number: 106 McAllister

Date: 09/13/2022

Time: 2:30pm - 3:30pm