EPFL Topology Seminar 2014/2015

Thursdays at 9:15

CM 106



Date Title Speaker
19.09.14 On detection theorems in representation theory
and generalized equivariant cohomology
Justin Noel
MA 10
On the algebraic EHP sequence Nguyen The Cuong
Paris XIII
10.10.14 A cellular version of Blakers-Massey Kay Werndli
17.10.14 A homotopy theory for diffeological spaces Enxin Wu
31.10.14 A looping-delooping adjunction for spaces Martina Rovelli
07.11.14 Profinite completion of operads and the Grothendieck-Teichmüller group Geoffroy Horel
14.11.14 Group spectra and twisting structures Marc Stephan
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
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
26.02.15 Mapping class groups of surfaces Nóra Szoke
05, 12, 19, and 26.03.15 Pre-Talbot working group Various
23.04.15 Rigidity phenomena for mapping class groups Javier Aramayona
MA 12
An attempt on the classification of unstable Adams operations for p-local compact groups
Ran Levi

(See also the program of the topology seminar in 2011/12,  2010/11,  2009/102008/09,  2007/08, 2006/07, and 2005/06.)



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