## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Maps of homotopy T-algebras

**Speaker:** Justin Noel

**Speaker Info:** MPI Bonn

**Brief Description:**

**Special Note**:

**Abstract:**

If T is a (nice) monad acting on a (very nice) model category C we
obtain a (nice) model category of T-algebras in C. Moreover, the monad
T descends in this situation to a monad T^\prime in the homotopy
category of C and we have a forgetful functor from the derived
category of T-algebras to T^\prime-algebras in hoC. In the case that
C is spectra and T-algebras in C are E_\infty ring spectra, this
forgetful functor lands in H_\infty ring spectra. To analyze this
functor Niles Johnson and I constructed a spectral sequence which
computes the homotopy of the space of T-algebra maps and whose edge
homomorphism is this forgetful functor. Naturally occurring examples
show that this functor is in general, neither full nor faithful. We
also provide some examples when this map is an isomorphism.

**Date:** Monday, October 10, 2011

**Time:** 3:00pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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