## Kan Seminar, Spring 2012

Cotaught with John Francis.

This is an intensive seminar in which students will give talks on classic papers of algebraic topology. Each participant will give three talks; the choice of papers will be made in consultation with the instructors. All talks will be preceded by a practice talk and significant discussion.

Here is the suggested paper list.

Schedule:

- Monday, March 26: Ben Knudsen, Serre's Homologie singuliere des espaces fibres.
- Wednesday, March 28: No class.
- Friday, March 30: Rob Legg, Thom's Quelques proprietes globales des varietes differentiables.
- Monday, April 2: Philsang Yoo, Milnor's On manifolds homeomorphic to the 7-sphere.
- Wednesday, April 4: Eric Dolores-Cuenca, Brown's Cohomology theories.
- Friday, April 6: Philip Egger, Serre's Cohomologie modulo 2 des complexes d'Eilenberg-MacLane.
- Monday, April 9: No class.
- Wednesday, April 11: Ben Knudsen, Wall's Finiteness conditions for CW-complexes.
- Friday, April 13: Rob Legg, Kervaire & Milnor's Groups of homotopy spheres, I.
- Monday, April 16: Philsang Yoo, Quillen's On the (co-)homology of commutative rings.
- Wednesday, April 18: Eric Dolores-Cuenca, Quillen's On the formal group laws of unoriented and complex cobordism theory.
- Friday, April 20: Philip Egger, Quillen's The Adams conjecture.
- Friday, April 27: Ben Knudsen, Quillen's Higher algebraic K-theory.
- Wednesday, May 2: Rob Legg, Landweber's Homological properties of comodules over MU_*(MU) and BP_*(BP)
- Friday, May 4: Philsang Yoo, Goresky and MacPherson's Intersection homology theory.
- Monday, May 7: Philip Egger, Nishida's The nilpotency of elements of the stable homotopy groups of spheres