[Binghamton Geometry Topology Seminar] This week: Yu Zhang

[blomquist at math.binghamton.edu]

Also, in case anyone is interested we'll be taking the speaker to dinner
Thursday evening, location to be determined. You can respond to this email
or I'll announce it again after the talk.

Best,
Jake

> This week we will meet as usual on Thursday, November 21 at 2:50pm in
> WH 100E.
>
> Title: Topological Quillen localization of structured ring spectra
>
> Abstract: Homotopy groups and stable homotopy groups of spaces are central
> invariants in algebraic topology. Stable homotopy groups are comparatively
> easier to work with, at the expense of losing certain information.
> However, if we are working with nice spaces, nothing will be lost by
> working stably: A map between nilpotent spaces induces homotopy groups
> isomorphisms if and only if it induces stable homotopy groups
> isomorphisms.
>
> Structured ring spectra are spectra with certain algebraic structure
> encoded by the action of an operad O. For such O-algebras, the analog of
> stable homotopy groups are played by Topological Quillen (TQ) homology
> groups. In this talk, we will draw the analogy between topological spaces
> and O-algebras, discuss the TQ-localization of O-algebras, and show the
> TQ-Whitehead theorem for homotopy pro-nilpotent O-algebras. Part of the
> work in this talk is joint with John E. Harper.
> _______________________________________________
> Seminar web page:
> http://www2.math.binghamton.edu/p/seminars/topsem
> topsem mailing list:
> http://www1.math.binghamton.edu/mailman/listinfo/topsem
>
>