Homepage Caroline Lassueur

Jun.-Prof. Dr. Caroline Lassueur

Juniorprofessur für Darstellungstheorie:
I am part of to the Research Group Representation Theory lead by Prof. Dr. Gunter Malle.

I am also a member of the DFG SFB-TRR 195 "Symbolic Tools in Mathematics and their Application".

Doctoral Student: Bernhard Böhmler [Started: Aug 2018 | Poster (Nov. 2019)]

Calendar WS 19/20:

15th of Oct 2019: A Day of Representation Theory at the Villa Denis 2019
20th-27th of Nov 2019: Shigeo Koshitani is visiting us
6th-7th of Dec 2019: Nikolauskonferenz 2019, RWTH Aachen
9th-11th of Dec 2019: Women in algebra and symbolic computations
13th-18th of Dec 2019: Robert Boltje is visiting us
Jan-May 2020: Research Semester Groups, representations and applications: new perspectives at the Newton Institute in Cambridge

Calendar SS 2020: ???

Gästeseminar Gruppen und Darstellungen: Vorläufig abgesagt!
Oberseminar Representation Theory: the topic "equivalences of block algebras" is postponed to the winter semester 2020/21.
Representations of Finite Groups: Explicit, Canonical and Functorial, Istanbul, Aug. 2020. POSTPONED!
June 2020: 10 years ago...
September 2020: Two Days of Representation Theory at the Villa Denis (internal)

Links:

ORCiD,

arXiv,

MathSciNet,

zbMATH ,

MGP ,

GoogleScholar

Publications and Preprints [+]

Trivial source characters in blocks with cyclic defect groups,
(with S. Koshitani)
[arXiv]
The classification of the trivial source modules in blocks with cyclic defect groups,
(with G. Hiß)
To appear in Algebr. Represent. Theory [doi | arXiv | Preprint]
Splendid Morita equivalences for principal $2$-blocks with generalised quaternion defect groups,
(with S. Koshitani)
To appear in J. Algebra [doi | arXiv | Preprint]
Splendid Morita equivalences for principal $2$-blocks with dihedral defect groups,
(with S. Koshitani)
Math. Z. 294 (2020), 639–666. [doi | arXiv | Preprint]
Simple modules in the Auslander-Reiten quiver of principal blocks with abelian defect groups,
(with S. Koshitani)
Nagoya Math. J. 235 (2019), 58–85. [doi | arXiv | .pdf]
On the lifting of the Dade group,
(with J. Thévenaz)
J. Group Theory 22 (2019), 441–451. [doi | arXiv | infoscience]
Lifting endo-$p$-permutation modules,
(with J. Thévenaz)
Archiv Math. 110 (2018), 205–212 [doi | arXiv | .pdf]
Endo-trivial modules: a reduction to $p'$-central extensions,
(with J. Thévenaz)
Pacific J. Math. 287 (2017), 423–438. [doi | infoscience]
Universal $p'$-central extensions: an expository note on the notion of universal $p'$-central extensions for finite groups, (with J. Thévenaz)
Expo. Math. 35 (2017), 237–251 [doi | infoscience | .pdf]
Endo-trivial modules for finite groups with dihedral Sylow 2-subgroups
(with S. Koshitani)
J. Group Theory 19 (2016), 635–660. [doi | arXiv]
Simple endotrivial modules for quasi-simple groups,
(with G. Malle and E. Schulte)
J. reine angew. Math. 712 (2016), 141–174. [doi | arXiv | .dvi]
Endotrivial modules for the Schur covers of the symmetric and alternating groups,
(with N. Mazza)
Algebr. Represent. Theory. 18 (2015), 1321-1335. [doi | arXiv]
Simple endotrivial modules for the linear, unitary and exceptional groups,
(with G. Malle)
Math. Z. 280 (2015),1047–1074. [doi | arXiv]
Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups,
(with S. Koshitani)
Manuscripta Math. 148 (2015),265–282. [doi | arXiv]
Endotrivial modules for the sporadic groups and their covers,
(with N. Mazza)
J. Pure Appl. Algebra. 219 (2015), 4203–4228. [doi | arXiv | .pdf]
Endo-$p$-permutation modules and relative endotrivial modules in the Auslander-Reiten quiver,
J. Algebra 420 (2014), 1–14. [doi]
The Dade group of a finite group,
J. Pure Appl. Algebra 217 (2013), 97–113. [doi | infoscience | .pdf]
Relative projectivity and relative endotrivial modules,
J. Algebra, Vol. 337(2011), 285–317. [doi | infoscience | .pdf]

Other Documents:

On the Lifting of the Dade group and Consequences, Oberwolfach Report, Representations of Finite Groups 2019
Reading endo-trivial modules from the Brauer tree, RIMS Kôkyûroku No. 1926. Proceedings of the Symposium Research on Finite Groups and their Representations, Vertex Operator Algebras, and Algebraic Combinatorics, March 2014. [www]
A note on $\mathcal{O}G$-modules that are necessarily $\mathcal{O}$-free, unpublished [.pdf]

Theses:

Relative Projectivity and Relative Endo-trivial Modules, Doctoral Thesis
[Thèse EPFL no 5266 | DOI:10.5075/epfl-thesis-5266 | infoscience | .pdf]
Private Defence: 09.12.2011, Public Defence: 23.03.2012 [Invitation]
The $p$-local splitting of the infinite complex projective space and co-H-structures, Master Thesis, Mar. 2007, Supervision: Prof. Dr. Birgit Richter (Universität Hamburg) [.pdf / poster]

Talks [+]

2020:

Representations of Finite Groups: Explicit, Canonical and Functorial, Istanbul, Aug. 2020. (POSTPONED)

2019:

Nikolauskonferenz 2019, RWTH Aachen, Dec. 2019.
Séminaire de théorie des groupes, Amiens, Sept. 2019.
NDGK, Martin-Luther-Universität Halle-Wittenberg, Jun. 2019.
Antalya Algebra Days 2019, Nesin Mathematical Village, Izmir, Turkey, May 2019. [Photo]
Workshop Representations of Finite Groups, MFO, Oberwolfach, Mar. 2019.

2018:

Darstellungstheorietage 2018, Hannover, Sept. 2018.
Ringvorlesungen, TU Kaiserslautern, 28. Juni 2018.
Oberseminar zur Algebra und Algebraischen Kombinatorik, Hannover, Jan. 2018.

2017:

Nikolauskonferenz 2017, RWTH Aachen, Dec. 2017.
Seminar Groups and Representation Theory, TU Kaiserslautern, Nov. 2017.
Conference New Perspectives in Representation Theory of Finite Groups, BIRS (Banff), Oct. 2017.
First annual meeting of the DFG collaborative research center SFB-TRR 195, Aachen, Sept. 2017.
Conference Algebraic Topology and Representation Theory (ATRT), Lille, Jun. 2017.

2016:

Conference Finite simple groups, their fusion systems and representations, EPFL-CIB, Ecublens, Dec. 2016.
5th International Congress on Mathematical Software (ICMS), Berlin, Jul. 11-14 2016.
Algebra and Geometry Seminar, Bristol, Apr. 2016.
Oberseminar Darstellungstheorie, Bergische Universität Wuppertal, Jan. 2016.

2015:

"Endo-trivial modules and quotients modulo normal $p'$-subgroups", Darstellungstheorietage, Stuttgart, Nov. 2015.
"Answering a question of Koshitani-Külshammer-Sambale on the Loewy length of blocks" Conference Functorial Methods in Representation Theory, EPFL Ecublens, Sept. 2015.

2014:

"Character theory for endotrivial modules", Nikolauskonferenz, Aachen, Dec. 2014.
"Character theory for endotrivial modules", Algebra-Seminar Halle-Jena, Universität Halle-Wittemberg, November 2014.
Séminaire de géométrie, Université de Fribourg, Mar. 2014.
"Théorie des caractères pour les modules endo-triviaux", Séminaire de théorie des groupes, EPFL, March. 2014.
"A survey on endo-permutation modules and related classes of modules", Tokyo Japan, March 2014.
"Reading endo-trivial modules from the Brauer tree", RIMS Symposium Research on Finite Groups and their Representations, Vertex Operator Algebras, and Algebraic Combinatorics, March 2014
"The position of endo-p-permutation modules and relatives in the AR-quiver", TU Kaiserslautern, Jan. 2014.

2013:

"On simple endo-trivial modules", Nikolauskonferenz, Aachen, Dec. 2013.
"Reading Endo-trivial modules on the Brauer tree", Birmingham (UK), Oct. 2013.
"Simple endo-trivial modules for quasi-simple groups", TU Kaiserslautern, Jul. 2013.
"Le groupe de Dade d'un groupe fini", Séminaire Chevalley, Paris (FR), Jun. 2013.
"Modules endo-triviaux simples pour les groupes quasi-simples", Amiens (FR), Jun. 2013.
"Reading simple endo-trivial modules on the Brauer tree", ARTY conference, Friedrich-Alexander-University of Erlangen-Nuremberg, Mai. 2013.
"Reading simple endo-trivial modules on the Brauer tree", Oberseminar, Jena, Mai. 2013.
"Balmer's support for relative triangulated categories", Workshop on triangulated categories, EPFL, Feb. 2013.

2012:

"Balmer's support for relative triangulated categories over cyclic p-groups", Nikolauskonferenz 2012, Aachen, Dec. 2012.
"Endo-permutation modules and the Dade group of a finite group", TU Kaiserslautern, Oct. 2012.
"Modules via diagrams", 9th Swiss Graduate Colloquium, Neuchatel, Jun. 2012.
"Le groupe de Dade d'un groupe fini", Séminaire de théorie des groupes, Amiens (FR), Jun. 2012.
"Coends and the Bousfield-Kan explicit approach", Workshop on homotopy colimits, EPFL, Feb. 2012.

2011:

"The Dade Group of a finite group", Séminaire de théorie des groupes, EPFL, Nov. 2011.
"Why is there a $k$ summand in the endomorphisms of an endotrivial module ", Séminaire de théorie des groupes, EPFL, Nov. 2011.
"From relative projectivity to the Dade Group of a finite group", Geometric presentations of finite and infinite groups, Birmingham (UK), Jul. 2011.
"From relative projectivity to the Dade Group of a finite group", 13th Postgraduate Group Theory Conference, Aberdeen (UK), Jun. 2011.

2010:

"Introduction aux Représentations des Groupes et variété de modules", Master Seminar, EPFL, Dec. 2010.
"Endo-trivial Modules and Relatives, part II", Group Theory Seminar, EPFL, Sept. 2010.
"Recovering a Group Scheme from its Representations", Tannakian Categories Workshop, EPFL, Jul. 2010.
"Endo-trivial Modules and Relatives, part I", Group Theory Seminar, EPFL, Jun. 2010.
"Endo-trivial Modules and Relatives", 7th Graduate Colloquium, Geneva, Feb. 2010.

2009-08-07:

"Finite/Compact non commutative groups with Haar measures", Group Theory Seminar, May 09.
"Hopf Algebras according to Milnor and Moore, and more", Group Theory Seminar, Sept. 08.
"$p$-localizations of the infinite complexe projective space and co-H-structure", Topology Seminar, March 07.

Jun.-Prof. Dr. Caroline Lassueur

Publications and Preprints [+]

Talks [+]

Conferences Organised [+]

Seminar Gruppen und Darstellungen

Oberseminar WS 2020/21

AG Darstellungstheorie

Links