Topology Seminar

Title: The cyclic (co)bar construction on A-infinity objects and THH
Speaker: Vigleik Angeltveit
Speaker Info: MIT
Brief Description:
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
Time: 3pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
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