Journées
fusion
/
Fusion days: 10-11 Septembre 2009 / September 10-11 2009
Immeubles,
Groupes de tresses, Groupes de Kac-Moody: 21-22 Octobre 2009
Bisets
in Algebra and Topology: September 12-14, 2012
Links
Research area
- Action of finite groups on simplicial complexes or posets.
- Associated homology groups. Permutation representations and Burnside rings.
- Presheaves on posets. Mackey and Green functors.
- Categories and functors associated to bisets.
- Endopermutation modules. Dade groups.
- Representations of finite sets and correpondences.
Publication
list:
version
dvi/ps/pdf
Short lectures
on Green functors
- Mackey functors : dvi file/ ps file /pdf file
- Green functors : dvi file/ ps file /pdf file
- Bisets and associated functors : dvi file/ ps file/pdf file
Gluing
endo-permutation
modules: Aberdeen (March 8, 2007): (beamer
PDF)
Endo-permutation modules: Luminy (June 1, 2007):
(beamer PDF)
Biset functors:
MSRI (February 8, 2008): (beamer
PDF)
The functor of
units of Burnside rings: Sapporo (June 24, 2008): (beamer
PDF)
Cohomology and complexity of cohomological Mackey functors:
Oberwolfach (March
25, 2009): (beamer
PDF)
Variations on
morphisms: Morelia (March 10, 2010): (beamer
PDF)
From
the Burnside group to the Dade group: EPFL (June 22, 2010): (beamer PDF)
On the Cartan matrix of Mackey algebras
: Oberwolfach (July
27, 2010): (beamer PDF)
The
slice
Burnside ring and the section Burnside ring of a finite group:
Pohang (March 28, 2011): (beamer
PDF)
Around
Möbius inversion: México city (August 5, 2011): (beamer PDF)
The
Roquette category of finite p-groups:
Strasbourg (Novembre 10, 2011): (beamer PDF)
The
Roquette category of finite p-groups
and simple rational functors: Bristol (Septembre 25, 2012): (beamer
PDF)
Fused
Mackey functors: Şirince (May 24, 2013): (beamer PDF)
The
algebra of essential relations on a finite set: Beijing (June 14,
2013): (beamer PDF)
Representations
of finite sets: Jena (July 25, 2015): (beamer PDF) Corresponda/ences: Lausanne (August 31,
2015): (beamer PDF) Biset functors for finite
groups: Springer
Lecture
Notes in Mathematics n°1990
Some
readings
...
| Idempotents of double Burnside algebras, L-enriched bisets, and decomposition of p-biset functors | dvi |
ps |
pdf |
Preprint
(2016) |
| K-theory,
genotypes, and biset functors |
dvi | ps | Preprint (2016) | |
| The Whitehead group of (almost) extra-special p-groups with p odd (joint work with Nadia Romero) | dvi | ps | Preprint (2016) | |
| Extensions of simple cohomological Mackey functors | dvi | ps | RIMS
Kôkyûroku (ISSN
1880-2818) 1967
(2015) 115-122 |
|
| Correspondence functors | dvi | ps | RIMS Kôkyûroku (ISSN 1880-2818) 1967 (2015) 59-67 | |
| The monoid algebra of all relations on a finite set (joint work with Jacques Thévenaz) | dvi | ps |
pdf |
Preprint (2015) |
| The representation theory of finite sets and correspondences (joint work with Jacques Thévenaz) | dvi | ps | Preprint (2015) | |
| On the projective dimensions of
Mackey functors (joint work with Radu Stancu and Peter Webb) |
dvi |
ps |
pdf |
to
appear in Algebras and Representation Theory DOI 10.1007/s10468-017-9695-y |
| On a question of Rickard on tensor product of stably equivalent algebras (joint work with Alexander Zimmermann) | dvi | ps | Experimental Mathematics , vol. , no. , – | |
| The algebra of essential relations on a finite set (joint work with Jacques Thévenaz) | dvi | ps |
pdf |
J. reine angew. Math. 712 (2016) 225-250 |
| Fast
decomposition
of p-groups in the Roquette category, for p>2 |
dvi |
ps |
pdf |
RIMS
Kôkyûroku (ISSN
1880-2818) 1872
(2014) 113-121 |
| Fused Mackey functors | dvi | ps | Geometriae
Dedicata 176: 225-240 (2015) |
|
| Vanishing evaluations of simple functors (joint work with Radu Stancu and Jacques Thévenaz) | dvi | ps | J.P.A.A. 218 (2014) 218-227 | |
| Simple biset functors and double Burnside ring (joint work with Radu Stancu and Jacques Thévenaz) | dvi | ps | J.P.A.A. 217 (2013) 546-566 | |
| A conjecture on B-groups |
dvi | ps | pdf |
Math. Zeitschrift 274 Issue 1-2 (2013), 367-372 |
| The Roquette category of finite p-groups | dvi | ps | J. Eur. Math. Soc. 17 (2015) 2843-2886 | |
| The slice Burnside ring and the section Burnside ring of a finite group | dvi | ps | Compositio Math. 148 (2012) 868-906 | |
| The extension algebra of some cohomological Mackey functors (joint work with Radu Stancu) | dvi | ps | Adv. Maths 283 (2015) 51-87 | |
| Stabilizing bisets (joint work with Jacques Thévenaz) | dvi | ps | Adv. Maths
229 (2012) 1610–1639 |
|
| On the Cartan matrix of Mackey algebras | dvi | ps | Trans. AMS 363, n° 8 (2011) 4383–4399 | |
| The primitive idempotents of the p-permutation ring (joint work with Jacques Thévenaz) | dvi | ps | J. Alg. 323 (2010) 2905-2915 | |
| Complexity and cohomology of cohomological Mackey functors | dvi | ps | Adv. Maths 221 (2009) 983-1045 | |
| Bisets as categories, and tensor product of induced bimodules | dvi | ps | Applied Categorical Structures 18 n°5 (2010) 517-521, | |
| A note on the lambda-structure on the Burnside ring (joint work with Karl Rökaeus) | dvi | ps | J. P.A.A. 213 (2009) 1316-1319 | |
| The poset of elementary abelian subgroups of rank at least 2 (joint work with Jacques Thévenaz) | dvi | ps | L'enseignement Mathématique n°40 (2008) 41-45 | |
| Gluing endo-permutation modules | dvi | ps | J. Group Theory 12 n°5 (2009) 651-678 | |
| Rational p-biset functors | dvi | ps | J. Alg. 319 (2008) 1776-1800 | |
| A sectional characterization of the Dade group (joint work with Jacques Thévenaz) | dvi | ps | J.
Group Theory 11 n°2 (2008) 155-183 |
|
| Gluing torsion endo-permutation modules (joint work with Jacques Thévenaz) | dvi | ps | J.
London Math. Soc. 78 n°2 (2008) 477-501 |
|
| Borel-Smith functions and the Dade group (joint work with Ergün Yalçin) | dvi | ps | J.
Alg. 311 (2007) 821-839 |
|
| The functor of units of Burnside rings for p-groups | dvi | ps | Comm.
Math. Helv. 82 (2007) 583-615 |
|
| The Dade group of a p-group | dvi | ps | Inv.
Math. 164 (2006) 189-231 |
|
| Biset functors and genetic sections for p-groups | dvi | ps | J.
Alg. 284 (2005) 179-202 |
|
| The
Burnside
dimension of projective Mackey functors |
dvi |
ps |
pdf |
RIMS
Kôkyûroku (ISSN 1880-2818) 1440 (2005) 107-120 |
| The functor of rational representations for p-groups | dvi | ps | Adv. Maths 186 (2004) 267-306 |
|
| The Dade group of (almost) extraspecial p-groups (joint work with Nadia Mazza) | dvi | ps | J.
P.A.A.
192 (2004) 21-51 |
|
| A remark on the Dade group and the Burnside group | dvi | ps | J.
Alg.
279 (1) (2004) 180-190 |
|
| Non-additive exact functors and tensor induction for Mackey functors | dvi | ps | AMS
Memoirs
144-683 (2000) |
|
| The group of endo-permutation modules (joint work with Jacques Thévenaz) | dvi | ps | Inv.
Math.
139 (2000) 275-349 |
|
| Tensor induction of relative syzygies | dvi | ps | J.
reine
angew. Math. 523 (2000) 113-171 |
|
| Burnside rings | dvi |
ps | pdf |
Handbook of Algebra, vol. 2, pp 739-804 (2000) |
| Sur le centre des algèbres de groupe en caractéristique p | dvi | ps | Expos.
Math.
4 (1999) 375-384 |
|
| Le complexe de chaines d'un G-complexe simplicial acyclique | dvi | ps | J.
Alg.
220 (1999) 415-436 |
|
| Polynomial ideals and classes of finite groups | dvi | ps | J.
Alg.
229 (2000) 153-174 |
|
| A remark on a theorem of Ritter and Segal | dvi | ps | J.
Group
Theory 4 (2001) 11-18 |
|
| The p-blocks of the Mackey algebra | dvi | ps | Alg.
Repres.
Theory 6 (2003) 515-543 |
|
| Hochschild constructions for Green functors | dvi | ps | Comm.
Alg.
31(1) (2003) 419-453 |
|
| Homologie à coefficients sur des
petites catégories |
dvi |
ps |
pdf |
Unpublished
note (1999) |
| Résolutions de foncteurs de Mackey | dvi | ps | AMS
PSPM
63 (1998) 31-83 |
|
| (poor english translation...) | dvi | ps | ||
| Foncteurs d'ensembles munis d'une double action | dvi | ps | J.
Alg.
183 (1996) 664-736 |
|
| Construction de foncteurs entre catégories de G-ensembles | dvi | ps | J.
Alg.
183 (1996) 737-825 |
|
| (english summary) | dvi | ps | ||
| Bimodules, trace généralisée, et transferts en homologie de Hochschild | dvi | ps | ||
| Projecteurs dans l'anneau de Burnside, projecteurs dans l'anneau de Green, et modules de Steinberg généralisés | J. Alg. 139 (1991) 395-445 | |||
| Homologie de certains ensembles ordonnés | djvu | C.R.A.S. Paris t. 299 Série I n°2 (1984) 49-52 | ||
| Modules de Möbius | djvu | C.R.A.S. Paris t. 299 Série I n°1 (1984) 9-12 |