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Chromatic Stable Homotopy Theory and the AHSS
*January 28, 2010*

*Posted by Chris Schommer-Pries in Algebraic Geometry, Algebraic Topology, Characteristic Classes, Chromatic Homotopy, Spectral Sequences.*

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Now that we’ve all gotten over the excitement surrounding the new iPad, I wanted to talk about something else which I actually find very exciting (unlike the iPad). This semester Jacob Lurie is giving a course on Chromatic Homotopy Theory. This is a beautiful picture which relates algebraic topology and algebraic geometry. Hopefully with Jacob at the helm we’ll also see the derived/higher categorical perspective creeping in. This seems like a great opportunity the learn this material “in my heart”, as my old undergraduate advisor used to say.

And with most of our principal bloggers distracted by MathOverflow, it also seems like a good time to experiment with **new media**. So here’s the plan so far:

The offshoot is that today I want to talk a little about chromatic homotopy and about the Atiyah-Hirzebruch Spectral Sequence.