Juvitop seminar

Fall 2006


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
(*) - Joint meeting with the Babytop seminar: November 21 (Tuesday) at 4 pm in room 2-132
(**) - Thursday

References

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