Dan Litt: Stable hotomopy groups of spheres.

04/20/2012

Jonathan Campbell: The Deligne Conjecture Part 1

http://arxiv.org/abs/math/9910126

04/27/2012

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).

05/04/2012

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.

05/25/2012

Jonathan Campbell: Lifting diagrams in the homotopy category part 1.

06/01/2012

Jonathan Campbell: Lifting diagrams in the homotopy category part 2.

06/08/2012

Sander Kupers: Exotic seven spheres.

Cary Malkiewich: Goodwillie calculus part 2, higher derivatives.

02/24/2012

Sam Nolen: Goodwillie calculus and higher categories part 1.

Why higher categories make everyhing better.

03/02/2012

Sam Nolen: Goodwillie calculus and higher categories part 2.

03/09/2012

Sander Kupers: The space of framed functions part 1.

Sander will present Soren's proof of contractibility.

03/16/2012

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.

03/23/2012

Jeremy Miller: My new favorite homology fibration.

02/10/2012

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.''

02/03/2012

Sam Nariman: Kreck's idea on stable classification of manifolds.

01/20/2012

Nisan Stiennon: Stable moduli space of real curves.

For background information on the Madsen-Weiss theorem, see Allen Hatcher's website.

11/04/2011

Sander Kupers: Modular operads associated to framed little disks operad part 1.

For more on this subject, see Jeff Giansiracusa 's website.

11/18/2011

Emmy Murphy: The H-principle part 1.

How to turn a sphere inside out..

12/02/2011

Emmy Murphy: The H-principle part 2.

12/09/2011

Sander Kupers: Modular operads associated to framed little disks operad part 2.

09/23/2011

Sam Nariman: Atiyah Segal Completion Theorem Part 1

09/30/2011

Sam Nariman: Atiyah Segal Completion Theorem Part 2

10/07/2011

Sam Nolen: Atiyah Segal Completion Theorem Part 3

10/14/2011

Sam Nolen: Atiyah Segal Completion Theorem Part 4

10/28/2011

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.

09/09/2011

Jonathan Campbell: Configuration spaces of points with summable labels part 3. He will talk about model categories and operads.

09/16/2011

Dan Litt: Configuration spaces of points with summable labels part 4. He might talk about proofs.

08/19/2011

Jeremy Miller: Configuration spaces of points with summable labels part 1. We will talk about Kallel's Theorem on the abelian case.

06/31/2011

Sam Nariman: Rational Homotopy theory part 2.

06/30/2011

Sam Nariman: Rational Homotopy theory part 1.

06/24/2011

Jonathan Campbell: Formal group laws part 4. He will tell us about BP.

06/27/2011

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.

06/03/2011

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.

05/27/2011

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.

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