Equivariant stable homotopy theory and the Kervaire invariant

Frank Adams 1930-1989. More pictures

Daniel Kan 1927-2013

J. Peter May

Mark Mahowald 1931-2013

Dan Quillen 1940-2011. More pictures

Samuel Eilenberg 1913-1998 More pictures

Saunders Mac Lane 1909-2005 More pictures

Nobuo Yoneda 1930-1996

Instructor Information

• Doug Ravenel

  Office: Hylan 819
  Phone: x54415
  Office hours: TBA

Class meetings

• MWR 9:00-10:15, all in Hylan 1106A.

• The first meeting will be on Thursday January 14.

• There will be no class on Monday January 18 (Martin Luther King Day) and March 7-10 due to Spring Break.

• The class meets three times a week to make up for the days I will be out of town, namely February 8-18, March 14-17, and April 4-7.

Useful links

• Doug’s archive. This includes copies of nearly every reference you need for this course.

• Kervaire invariant page. This has lots of background information, links to related papers, slides for talks and so on.

• The Hill-Hopkins-Ravenel paper (221 pages), soon to appear in the Annals of Mathematics.

My coauthors and I in Princeton, 2010

• Green book page. Online edition of my first book, Complex cobordism and stable homotopy groups of spheres.

• Orange book page. Online edition of my second book, Nilpotence and periodicity in stable homotopy theory .

• Dan Isaksen’s Ext chart page. The best available pictures of the Adams spectral sequence and its motivic analog at the prime 2.

• Slides for my talk What is a G-spectrum?, May 2015.

• Slides for my talk on the Gap Theorem, March 2015.

Mike Mandell

L. Gaunce Lewis 1949-2006

Pete Bousfield