Title: The cyclic (co)bar construction on A-infinity objects and THH
Speaker: Vigleik Angeltveit
Speaker Info: MIT
Special Note: Note the time.
A classical result of Stasheff says that one can define the bar construction on an A-infinity H-space using a certain family of polyhedra called Stasheff associahedra. I will show how one can define the cyclic bar and cobar construction in a similar way, using another family of polyhedra called cyclohedra. I will then use this to define THH of an A-infinity ring spectrum, and explain how the A-infinity structure is responsible for extensions in the canonical spectral sequences calculating the homotopy groups of THH.Date: Monday, January 16, 2006