Dan Litt: Stable hotomopy groups of spheres.
Jonathan Campbell: The Deligne Conjecture Part 1
http://arxiv.org/abs/math/9910126
Sander Kupers: Kontsevich's theorem on the formality of the little N-disks operad
He will be giving a pre-pre-Talbot talk on Kontsevich's theorem on the formality of the little N-disks operad. This theorem tells us that the cohomology algebra and the cochain algebra of this operad are quasi-isomorphic. Though this sounds abstract, it has important consequences for the rational homology of embedding spaces, which will be the topic of my pre-Talbot talk (to be announced).
Kerstin Baer 1:30-2:30, Room 380X, Orthogonal calculus
Sander Kupers 2:30-3:30, Room 380X, Rational homotopy type of embedding spaces
Cary Malkiewich 4:00-5:00, Room 380W, From cohomology to calculus
Goodwille calculus party.
Jonathan Campbell: Lifting diagrams in the homotopy category part 1.
Jonathan Campbell: Lifting diagrams in the homotopy category part 2.
Sander Kupers: Exotic seven spheres.
Cary Malkiewich: Goodwillie calculus part 2, higher derivatives.
Sam Nolen: Goodwillie calculus and higher categories part 1.
Why higher categories make everyhing better.
Sam Nolen: Goodwillie calculus and higher categories part 2.
Sander Kupers: The space of framed functions part 1.
Sander will present Soren's proof of contractibility.
Sander Kupers: The space of framed functions part 2.
Sander will talk about applications of framed functions to higher Reidemeister-torsion and the Lurie's proof of cobordism hypothesis.
Jeremy Miller: My new favorite homology fibration.
Cary Malkiewich: Goodwillie calculus part 1.
According to nLab, Goodwillie once said, ``Unlike the category of spectra, where pushouts are the same as pullbacks, the category of spaces may be thought of has having nonzero curvature.''
Sam Nariman: Kreck's idea on stable classification of manifolds.
Nisan Stiennon: Stable moduli space of real curves.
For background information on the Madsen-Weiss theorem, see Allen Hatcher's website.
Sander Kupers: Modular operads associated to framed little disks operad part 1.
For more on this subject, see Jeff Giansiracusa 's website.
Emmy Murphy: The H-principle part 1.
How to turn a sphere inside out..
Emmy Murphy: The H-principle part 2.
Sander Kupers: Modular operads associated to framed little disks operad part 2.
09/23/2011
Sam Nariman: Atiyah Segal Completion Theorem Part 1
Sam Nariman: Atiyah Segal Completion Theorem Part 2
Sam Nolen: Atiyah Segal Completion Theorem Part 3
Sam Nolen: Atiyah Segal Completion Theorem Part 4
Cary Malkiewich: Atiya duality
09/02/2011
Nisan Stiennon: Configuration spaces of points with summable labels part 2. He will talk about the Fulton Macpherson operad.
Jonathan Campbell: Configuration spaces of points with summable labels part 3. He will talk about model categories and operads.
Dan Litt: Configuration spaces of points with summable labels part 4. He might talk about proofs.
Jeremy Miller: Configuration spaces of points with summable labels part 1. We will talk about Kallel's Theorem on the abelian case.
Sam Nariman: Rational Homotopy theory part 2.
Sam Nariman: Rational Homotopy theory part 1.
Jonathan Campbell: Formal group laws part 4. He will tell us about BP.
Man Chuen Cheng: Formal group laws part 3. He will compute the homotopy groups of MU.
06/10/2011
Jonathan Campbell: Formal group laws part 2.
Sam Nolen: Formal group laws part 1. We will talk about Quillen's work relating MU to formal group laws. The reference is chapter 2 of Adams' Stable Homotopy Theory and Generalised Cohomology.
Ilya Grigoriev: Bott periodicity theorem in the style of scanning and the group completion theorem. A good set of notes on this subject is Lecture 10 from Tom Church's website.