Thursdays at 9:15
CM 106
Program
| Date | Title | Speaker |
|---|---|---|
| 19.09.14 | On detection theorems in representation theory and generalized equivariant cohomology |
Justin Noel Regensburg |
| 26.09.14 MA 10 |
On the algebraic EHP sequence | Nguyen The Cuong Paris XIII |
| 10.10.14 | A cellular version of Blakers-Massey | Kay Werndli EPFL |
| 17.10.14 | A homotopy theory for diffeological spaces | Enxin Wu Vienna |
| 31.10.14 | A looping-delooping adjunction for spaces | Martina Rovelli EPFL |
| 07.11.14 | Profinite completion of operads and the Grothendieck-Teichmüller group | Geoffroy Horel Münster |
| 14.11.14 | Group spectra and twisting structures | Marc Stephan EPFL |
| 21.11.14 | Cosimplicial models for spaces of embeddings | Paul Arnaud Songhafouo Tsopméné Université catholique de Louvain |
| 28.11.14 | Cellular properties of nilpotent spaces | Emmanuel Farjoun Hebrew University |
| 05.12.14 | Algebraic realization problem for equivariant complex vector bundles over the 2-sphere | Jean Verrette Hawaii |
| 12.12.14 | Deformation theory of the little n-cubes operads and graph complexes | Thomas Willwacher Universität Zürich |
| 19.02.15 | An algebraic model for rational SO(3) spectra | Magdalena Kedziorek EPFL |
| 26.02.15 | Mapping class groups of surfaces | Nóra Szoke EPFL |
| 05, 12, 19, and 26.03.15 | Pre-Talbot working group | Various EPFL |
| 23.04.15 | Rigidity phenomena for mapping class groups | Javier Aramayona Toulouse |
| 10.06.15 10h15 MA 12 |
|
Ran Levi Aberdeen |
(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
Noel: Let G be a finite group. Artin’s theorem says that we can recover the complex representation ring of G from the representations of the cyclic subgroups of G up to torsion, or additive nilpotence. Quillen’s F-isomorphism theorem says that we can recover the mod-p cohomology of G from the mod-p cohomology of the elementary abelian p-subgroups of G up to multiplicative nilpotence. Both of these detection theorems can be restated as results in equivariant stable homotopy theory.
We construct and apply a general framework for proving analogues of these theorems in this context. As special cases we recover the above theorems as well as analogues for integral cohomology (due to Carlson), KO (partially due to Fausk), ko, complex oriented theories (partially due to Hopkins-Kuhn-Ravenel), the many variants of topological modular forms, Ln-local spectra, and classical cobordism theories.
This is joint work with Akhil Mathew and Niko Naumann.
Nguyen: One of the most basic problems in homological algebra is to construct explicit injective (projective) resolutions of modules. We are interested in fi