This is a reading group for students interested in algebraic topology, focusing on classical topics. We will meet in the fourth floor alcove, on Fridays at 3pm.

1. (2/10/12) Akhil Mathew will be speaking on the J-homomorphism (following Adams's second paper on the topic). Notes
2. (2/17/12) Saul Glasman will be speaking on the K-theory of finite fields (following Quillen's paper).
3. (2/24/12) Charmaine Sia will be speaking on the Kervaire invariant. Notes are available here.
4. (3/2/12) Mitka Vaintrob will be speaking about Bott periodicity.
5. (3/9/12) Omar Antolin-Camarena will be speaking about Segal's paper "Categories and cohomology theories.''
6. (3/16/12) Spring break; no seminar.
7. (3/23/12) Gijs Heuts will be speaking about the Atiyah-Singer index theorem.
8. (3/30/12) Akhil Mathew will be speaking about the Dirac operator and some of its applications. Preliminary (rough) notes.
9. (4/20/12) Charmaine Sia will be speaking on some computations with the Adams spectral sequence. Notes are available here
10. (4/27/12) Saul Glasman will be speaking about configuration spaces, Brown-Gitler spectra, and immersion theory.