(version francaise ici)

Serge Bouc

You can write me here: serge.bouc@u-picardie.fr


 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

Publication list: version dvi/ps/pdf

Short lectures on Green functors

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)

 Representations of finite sets and correspondences: Prague (August 9-11, 2018): (beamer PDF 1) (beamer PDF 2) (beamer PDF 3)

Representaciones de conjuntos finitos y correspondencias: Monterrey (October 23, 2019) : (beamer PDF)

Extensions of simple biset functors: Oberwolfach (August 14, 2020) : (beamer PDF)

A functorial resolution of units of Burnside rings: Lancaster (January 8, 2021) (beamer PDF)

 Biset functors for finite groups:  Springer Lecture Notes in Mathematics n°1990

Some readings ...

Some simple biset functors dvi ps pdf  Journal of Group Theory doi: 10.1515/jgth-2021-0201
Germs in a poset dvi ps pdf  Journal of Algebraic Combinatorics (2021) https://doi.org/10.1007/s10801-021-01059-1
Idempotents in the endomorphism algebra of a finite lattice
(joint work with Jacques Thévenaz)		 dvi ps pdf   Order (2022)
https://doi.org/10.1007/s11083-021-09588-x
A functorial presentation of units of Burnside rings dvi ps pdf  Results Math. (2021) 76:58 https://doi.org/10.1007/s00025-021-01369-7
Simple and projective correspondence functors (joint work with Jacques Thévenaz)
 dvi ps pdf  Representation Theory Volume 25, Pages 224–264 (2021)
Green fields (joint work with Nadia Romero) dvi ps pdf  Expositiones Mathematicae (2021) https://doi.org/10.1016/j.exmath.2021.09.001
Shifted functors of representations functors are semisimple (joint work with Nadia Romero) dvi ps pdf  Math. Zeitschrift (2021) https://doi.org/10.1007/s00209-021-02790-y
Representations of finite sets and correspondences dvi ps pdf  Contemp. Math. 758 (2020) 31-55
Tensor product of correspondence functors (joint work with Jacques Thévenaz) dvi ps pdf  J. Alg. 558 (2020) 146-175
Diagonal p-permutation functors (joint work with Deniz Yılmaz) dvi ps pdf  J. Alg. 556 (2020) 1036–1056
Relative B-groups dvi ps pdf   Doc. Math. 24, 2431-2462 (2019)
Monomial G-posets and their Lefschetz invariants  (joint work with Hatice Mutlu) dvi ps pdf  J. Alg. 527 (2019) 399–436
The algebra of Boolean matrices, correspondence functors, and simplicity (joint work with Jacques Thévenaz) dvi ps pdf  J. Comb. Alg. 4 (2020) 215-267
The center of a Green biset functor (joint work with Nadia Romero) dvi ps pdf  Pacific J. Math. 303 (2019) 459-490.
Correspondence functors and lattices (joint work with Jacques Thévenaz)
 dvi ps pdf  J. Alg. 518 (2019) 453-518
Idempotents of double Burnside algebras, L-enriched bisets, and decomposition of p-biset functors dvi ps pdf  J. Alg. 504 (2018) 129-175
K-theory, genotypes, and biset functors
 dvi ps pdf  Bol. Soc. Mat. Mex. 26: 57-74 (2020)
The Whitehead group of (almost) extra-special p-groups with p odd (joint work with Nadia Romero) dvi ps pdf  J.P.A.A. 223 (2019) 86-107
Correspondence functors and finiteness conditions (joint work with Jacques Thévenaz) dvi ps pdf  J. Alg. 495 (2018) 150-198
Extensions of simple cohomological Mackey functors dvi ps pdf  RIMS Kôkyûroku (ISSN 1880-2818) 1967 (2015) 115-122
Correspondence functors dvi ps pdf  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 pdf  Preprint (2015)
On the projective dimensions of Mackey functors (joint work with Radu Stancu and Peter Webb)
 dvi
 ps
 pdf
  Alg. Repres. Theory (2017) 20:1467–1481
On a question of Rickard on tensor product of stably equivalent algebras (joint work with Alexander Zimmermann) dvi ps pdf  Experimental Mathematics 2017, vol. 26, no. 1, 31–44
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 pdf  Geometriae Dedicata 176: 225-240 (2015)
Vanishing evaluations of simple functors (joint work with Radu Stancu and Jacques Thévenaz) dvi ps pdf  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 pdf  J.P.A.A. 217 (2013) 546-566
A conjecture on B-groups
 		dvi ps pdf
 		 Math. Zeitschrift Issue 1-2 , 367-372
The Roquette category of finite p-groups dvi ps pdf  J. Eur. Math. Soc. 17  (2015) 2843-2886
The slice Burnside ring and the section Burnside ring of a finite group dvi ps pdf  Compositio Math. 148 (2012) 868-906
The extension algebra of some cohomological Mackey functors (joint work with Radu Stancu) dvi ps pdf  Adv. Maths 283 (2015) 51-87
Stabilizing bisets (joint work with Jacques Thévenaz) dvi ps pdf  Adv. Maths 229 (2012) 1610–1639
On the Cartan matrix of Mackey algebras dvi ps pdf  Trans. AMS 363, n° 8  (2011) 4383–4399
The primitive idempotents of the p-permutation ring (joint work with Jacques Thévenaz) dvi ps pdf  J. Alg. 323 (2010) 2905-2915
Complexity and cohomology of cohomological Mackey functors dvi ps pdf  Adv. Maths 221 (2009) 983-1045
Bisets as categories, and tensor product of induced bimodules dvi ps pdf  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 pdf  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 pdf  L'enseignement Mathématique n°40 (2008)  41-45
Gluing endo-permutation modules dvi ps pdf  J. Group Theory 12 n°5 (2009) 651-678
Rational p-biset functors dvi ps pdf  J. Alg. 319 (2008) 1776-1800
A sectional characterization of the Dade group (joint work with Jacques Thévenaz) dvi ps pdf  J. Group Theory 11 n°2 (2008) 155-183
Gluing torsion endo-permutation modules (joint work with Jacques Thévenaz) dvi ps pdf  J. London Math. Soc. 78 n°2 (2008) 477-501
Borel-Smith functions and the Dade group (joint work with Ergün Yalçın) dvi ps pdf  J. Alg. 311 (2007) 821-839
The functor of units of Burnside rings for p-groups dvi ps pdf  Comm. Math. Helv. 82 (2007) 583-615
The Dade group of a p-group dvi ps pdf  Inv. Math. 164 (2006) 189-231
Biset functors and genetic sections for p-groups dvi ps pdf  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 pdf  Adv. Maths 186 (2004) 267-306
The Dade group of (almost) extraspecial p-groups (joint work with Nadia Mazza) dvi ps pdf  J. P.A.A. 192 (2004) 21-51
A remark on the Dade group and the Burnside group  dvi ps pdf  J. Alg. 279 (1) (2004) 180-190
Non-additive exact functors and tensor induction for Mackey functors dvi ps pdf  AMS Memoirs 144-683 (2000)
The group of endo-permutation modules (joint work with Jacques Thévenaz)  dvi ps pdf  Inv. Math. 139 (2000) 275-349
Tensor induction of relative syzygies dvi ps pdf  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 pdf  Expos. Math. 4 (1999) 375-384
Le complexe de chaines d'un G-complexe simplicial acyclique dvi ps pdf  J. Alg. 220 (1999) 415-436
Polynomial ideals and classes of finite groups  dvi ps pdf  J. Alg. 229 (2000) 153-174
A remark on a theorem of Ritter and Segal dvi ps pdf  J. Group Theory 4 (2001) 11-18
The p-blocks of the Mackey algebra dvi ps pdf  Alg. Repres. Theory 6 (2003) 515-543
Hochschild constructions for Green functors dvi ps pdf  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 pdf  AMS PSPM 63 (1998) 31-83
        (poor english translation...) dvi ps pdf
Foncteurs d'ensembles munis d'une double action dvi ps pdf  J. Alg. 183 (1996) 664-736
Construction de foncteurs entre catégories de G-ensembles dvi ps pdf  J. Alg. 183 (1996) 737-825
        (english summary) dvi ps pdf
Bimodules, trace généralisée, et transferts en homologie de Hochschild dvi ps pdf
Projecteurs dans l'anneau de Burnside, projecteurs dans l'anneau de Green, et modules de Steinberg généralisés

pdf  J. Alg. 139 (1991) 395-445
Homologie de certains ensembles ordonnés djvu
pdf  C.R.A.S. Paris t. 299 Série I n°2 (1984) 49-52
Modules de Möbius djvu
pdf  C.R.A.S. Paris t. 299 Série I n°1 (1984) 9-12

Some drawings

Sound and music