Tuesdays at 10:15
CM 113
Program
| Date | Title | Speaker |
|---|---|---|
| 6.10.15 | Waldhausen K-theory and topological coHochschild homology | Kathryn Hess EPFL |
| 13.10.15 | A torus theorem for homotopy nilpotent groups | Jérôme Scherer EPFL |
| 20.10.15 | The signature of a fibration modulo 8. | Carmen Rovi MPI Bonn |
| 27.10.15 | From precalculus to calculus in algebraic topology | Kathryn Hess EPFL |
| 3.11.15 | Dupont-Guichardet-Wigner quasi-morphisms and mapping class group | Wolfgang Pitsch Universidad Autónoma de Barcelona |
| 10.11.15 | Comparing the homotopy calculi | David Barnes Queen’s University Belfast |
| 17.11.15 | No Seminar | – – |
| 24.11.15 | Grothendieck-Neeman duality and the Wirthmüller isomorphism | Ivo Dell’Ambrogio Université de Lille |
| 1.12.15 | Re-classifying Homogeneous Functors and Layers of Partial Towers | Rosona Eldred Universität Münster |
| 8.12.15 | Relative smash products of commutative ring spectra | Sean Tilson University of Osnabrück |
| 10.12.15 | (3.30pm in MA110) Power operations in Adams spectral sequences | Sean Tilson University of Osnabrück |
| 6.1.16 | (11.00am in MA30) The suspension of K | Marc Stephan University of Chicago |
| 2.2.16 | (MA110) Hopf invariants, rational homotopy theory, and physical integrals | Dev Sinha University of Oregon |
| 11.2.16 | (10.15am in MA12) The Whitehead conjecture and its BU analogue | Gregory Arone Stockholm University |
| 23.2.16 | An approximate nerve theorem | Primoz Skraba Artificial Intelligence Laboratory, Jozef Stefan Institute, Ljubljana |
| 1.3.16 | No Seminar | – – |
| 8.3.16 | The localization genus of a space | Jérôme Scherer EPFL |
| 15.3.16 | No Seminar | – – |
| 22.3.16 | A model-categorical cotangent complex formalism part 1 | Matan Prasma Radboud Universiteit Nijmegen |
| 24.3.16 | (10.15am in CM113) A model-categorical cotangent complex formalism part 2 | Matan Prasma Radboud Universiteit Nijmegen |
| 5.4.16 | Assembly maps in coarse geometry | Matthew Gadsden University of Sheffield |
| 8.4.16 | (10:15am in CM113) Topological Manifold Calculus | Daniel Pryor Queen’s University Belfast |
| 12.4.16 | The Goodwillie tower of spaces and analogues of rational homotopy theory | Gijs Heuts University of Copenhagen |
| 19.4.16 | No Seminar | – – |
| 26.4.16 | No Seminar | – – |
| 3.5.16 | No Seminar | – – |
| 10.5.16 | Iterated Hochschild homology and red-shift | Christian Ausoni Université Paris 13 |
| 17.5.16 | Swiss-Cheese operad and application to the space of long embeddings | Julien Ducoulombier Université Paris 13 |
| 24.5.16 | Algebraic models of rational equivariant cohomology theories | John Greenlees University of Sheffield |
| 31.5.16 | Type theory and higher categories | Karol Szumiło University of Western Ontario |
(See also the program of the topology seminar in 2011/12, 2010/11, 2009/10, 2008/09, 2007/08, 2006/07, and 2005/06.)
Abstracts
Hess: I will present joint work with Brooke Shipley, in which we have defined a model category structure on the category of Σ∞X+-comodule spectra such that the K-theory of the associated Waldhausen category of homotopically finite objects is naturally weakly equivalent to the usual Waldhausen K-theory of X, A(X). I will relate this comodule approach to A(X) to the more familiar approach in terms of Σ∞ Ω X+-module spectra. I will also explain the construction and properties of the topological coHochschild homology of X, which is a potentially interesting approximation to A(X).
Scherer: This is joint work with Cristina Costoya and Antonio Viruel. Homotopy nilpotent groups have been defined by Biedermann and Dwyer as certain homotopy algebras over the “Goodwillie calculus algebraic theories” (one for each nilpotency class). This yields a beautiful filtration of loop spaces where homotopy abelian loop spaces are precisely infinite loop spaces. In order to do computations however a more naive notion of nilpotency is useful. We introduce a new invariant called “extension by principal fibrations length”, explain how it is related to homotopy nilpotency, and apply it to describe all finite homotopy nilpotent loop spaces.
Rovi: In this talk we shall be concerned with the residues modulo 4 and modulo 8 of the signature