This is the Juvitop seminar webpage from Fall 2006, which was organized by Ricardo Andrade and Matthew Gelvin about The Adams Spectral Sequence and Computations in the Stable Homotopy Groups of Spheres. This site was originally hosted here. This is part of a deep copy of all prior Juvitop websites that I could find in the fall of 2016.

Juvitop is a topics seminar on algebraic topology organized by graduate students at MIT.

The topic for the Juvitop seminar this semester is the Adams spectral sequence and its use for computing stable homotopy groups of spheres.

The seminar will meet (unless noted otherwise) on Wednesdays at 4 pm in room 4-257 starting September 13.

The following is a list of the talks:

Date |
Lecturer |
Title |

September 13 |
Matthew Gelvin |
The Steenrod algebra |

September 20 |
Martin Frankland |
The classical Adams
spectral sequence |

September 27 |
Ronen Mukamel |
The lambda algebra |

October 4 |
Veronique Godin |
Computations I |

October 11 |
John Francis |
The generalized Adams
spectral sequence |

October 18 |
Sam Isaacson |
Complex cobordism and
formal group laws |

October 25 |
Pokman Cheung |
Brown-Peterson spectra and
formal group laws |

November 1 |
Giovanni Franklin |
BP spectra and the
Adams-Novikov spectral
sequence |

November 8 |
Constanze Roitzheim |
Computations II |

November 15 |
Nick Rozenblyum |
The chromatic spectral
sequence |

November 21 (*) |
Mike Hill |
The Morava stabilizer
algebra |

November 30 (**) |
David Jordan |
The J-homomorphism and the
1-line |

December 6 |
Mark Behrens |
Greek letter elements |

December 13 |
Ricardo Andrade |
Computations III |

(**) - Thursday

Complex
Cobordism and Stable Homotopy Groups of Spheres, by Douglas
Ravenel. This book is currently published by the AMS and is also
available online.
It is probably the most complete reference for the subject and focuses
on the computational aspects of the theory.

Stable Homotopy and Generalised Homology, by John Frank Adams. This book is a classical reference for the Adams spectral sequence. It also discusses (among other topics) complex oriented cohomology theories and relations to formal group laws.

Bordism, Stable Homotopy and Adams Spectral Sequences, by Stanley Kochman. This book features detailed proofs of (most) of its results.

A User's Guide to Spectral Sequences, by John McCleary. Chapter 9 is devoted to the Adams spectral sequence. This book is a good source for various flavours of spectral sequences.

Cohomology Operations and Applications in Homotopy Theory, by Robert Mosher and Martin Tangora. "The subject matter of this book is adequately explained in its title." (from a review by Larry Smith)

### Contacts

Feel free to e-mail the organizers regarding questions about the
seminar or requests pertaining to the corresponding mailing list:

Ricardo Andrade (rjaa -at- %)

Matthew Gelvin (gelvin -at- %)

(% = math.mit.edu)

### Some links

The Juvitop seminar of Fall 2006 is now over. Here is a link for the Juvitop
seminar, Spring 2007.

Here are some links for the previous editions of the Juvitop seminar:

Juvitop, Spring 2006 focused on stacks in topology and homotopy theory.

Juvitop, Fall 2005 was dedicated to surgery theory.

Juvitop, Spring 2005 was on Galois theory of structured ring spectra.

If you are interested in the other topology seminars organized at MIT, here are the relevant links:

Babytop seminar

Topology seminar

Stable Homotopy and Generalised Homology, by John Frank Adams. This book is a classical reference for the Adams spectral sequence. It also discusses (among other topics) complex oriented cohomology theories and relations to formal group laws.

Bordism, Stable Homotopy and Adams Spectral Sequences, by Stanley Kochman. This book features detailed proofs of (most) of its results.

A User's Guide to Spectral Sequences, by John McCleary. Chapter 9 is devoted to the Adams spectral sequence. This book is a good source for various flavours of spectral sequences.

Cohomology Operations and Applications in Homotopy Theory, by Robert Mosher and Martin Tangora. "The subject matter of this book is adequately explained in its title." (from a review by Larry Smith)

Ricardo Andrade (rjaa -at- %)

Matthew Gelvin (gelvin -at- %)

(% = math.mit.edu)

Here are some links for the previous editions of the Juvitop seminar:

Juvitop, Spring 2006 focused on stacks in topology and homotopy theory.

Juvitop, Fall 2005 was dedicated to surgery theory.

Juvitop, Spring 2005 was on Galois theory of structured ring spectra.

If you are interested in the other topology seminars organized at MIT, here are the relevant links:

Babytop seminar

Topology seminar