Homepage Caroline Lassueur

Jun.-Prof. Dr. Caroline Lassueur

Juniorprofessur für Darstellungstheorie (Junior Professorship for Representation Theory)
→ Part of to the Research Group Representation Theory lead by Prof. Dr. Gunter Malle.
→ Member of the DFG SFB-TRR 195 "Symbolic Tools in Mathematics and their Application".
→ Doctoral Student: Bernhard Böhmler [Started: Aug 2018 | Poster (Nov. 2019)]

Links:

ORCiD,

arXiv,

MathSciNet,

zbMATH ,

MGP ,

GoogleScholar

Co-authors: Bernhard Böhmler, Niamh Farrell, Gerhard Hiß, Shigeo Koshitani, Gunter Malle, Nadia Mazza, Benjamin Sambale, Elisabeth Schulte, Jacques Thévenaz

Calendar Academic Year 2021/22:

Oct 2022: The Representation Theory Days (Darstellungstheorietage) 2022 should take place at the TU Kaiserslautern
Sept 2022: Two Days of Representation Theory at the Villa Denis
Sept 2022: Summer School Lecture Modular Representation Theory of Finite Groups at the IKIU Summer School on group representation theory [Imam Khomeini International University, Qazvin, Iran] [Lecture Notes and Handouts]
Winter / Summer Semester 2021/22: Talks at the meetings
- Representation Theory at the Villa Denis 2022, Frankenstein, Sept 22
- 2nd SFB/TRR 195 Annual Meeting, Tübingen, Sept 22
- Workshop Structure of Group Algebras over Local Rings, Ambleside (UK), Aug 22
- Techniques fonctorielles en théorie des groups, Amiens, Jun [SLIDES]
- Workshop Counting Conjectures and Beyond, Isaac Newton Institute, Cambridge, May 22
- Department of Mathematics & Statistics Colloquium, Maynooth University, Apr 22
- Groups in Galway, Dec 21
- Algebra and Symbolic Computations II, Bad Dürkheim, Dec 21
- Algebra and Number Theory Seminar, UC Santa Cruz, Nov 21
May/Jul 2022: Programme Participant in the Programme Groups, Representations, and Applications: New Perspectives held at the Newton Institute, Cambridge.
Apr-Jun 2022: Guest seminar "Gruppen und Darstellungen" in presence in Kaiserslautern
Jan/Feb 2022: Guest seminar Kaiserslautern-Aachen "Gruppen und Darstellungen" with a series of 8 virtual talks
Winter semester 20/21: ON LEAVE for the purpose of an interim professorship for Algebra und Number Theory at the RWTH Aachen University .

Previous Events [+]

Publications and Preprints [+]

Preprints.

On the source algebra equivalence class of blocks with cyclic defect groups, Part I, [arXiv]
(with G. Hiß)
Trivial source character tables of $SL_2(q)$, Part II, [arXiv]
(with N. Farrell)

Accepted.

Trivial source endo-trivial modules for groups with semi-dihedral Sylow 2-subgroups,
(with S. Koshitani)
To appear in Beitr. Algebra Geom. [doi | arXiv | preprint]

Published.

Trivial source character tables of $SL_2(q)$, Part I,
(with B. Böhmler and N. Farrell)
J. Algebra 598 (2022), 308-350. [doi | arXiv | Oberwolfach Preprint]
Splendid Morita equivalences for principal blocks with semi-dihedral defect groups,
(with S. Koshitani and B. Sambale)
Proc. Amer. Math. Soc. 150 (2022), 41-53. [doi |arXiv | preprint]
The classification of the trivial source modules in blocks with cyclic defect groups,
(with G. Hiß)
Algebr. Represent. Theory 24 (2021), 673–698. [doi | arXiv | Preprint]
Trivial source characters in blocks with cyclic defect groups,
(with S. Koshitani)
J. Algebra 574 (2021), 375-408. [doi | arXiv | preprint]
Splendid Morita equivalences for principal $2$-blocks with generalised quaternion defect groups,
(with S. Koshitani)
J. Algebra 558 (2020), 523-533. Special issue in honour of Michel Broué. [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,
(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:

Trivial source character tables of $SL_2(q)$,
(with B. Böhmler and N. Farrell), Oberwolfach Preprint
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 [+]

2022:

Seminars in Algebra, Mindanao State University, Iligan Institute of Technology, Dec 2022
Representation Theory at the Villa Denis 2022, TU Kaiserslautern, Sept 2022
2nd annual meeting of the DFG SFB-TRR 195, Tübingen, Sept. 2022
Summer School on the Representation Theory of Finite Groups, Imam Khomeini International University, Qazvin, Iran, Sept 2022
Workshop Structure of Group Algebras over Local Rings, Ambleside, Aug 2022
Méthodes fonctorielles en théorie des groupes, Amiens, Jun 2022
Workshop Counting Conjectures and Beyond, Isaac Newton Institute, Cambridge, May 2022
Department of Mathematics & Statistics Colloquium, Maynooth University, April 2022

2021:

Groups in Galway, Galway, Dec. 2021
Algebra and Symbolic Computations II, Bad Dürkheim, Nov. 2021 [SLIDES]
Algebra and Number Theory Seminar, UC Santa Cruz, Nov. 2021
Invited Lecture "Introduction to the Modular Representation Theory of Finite Groups" at the Young Algebraists´Conference 2021, Sept. 2021
Representation Theory at the Villa Denis 2021, TU Kaiserslautern, July 2021.
Ringvorlesung, TU Kaiserslautern, July 2021.
Virtual Algebra Seminar, University of Manchester, May 2021.

2020:

Nikolauskonferenz 2020 (virtual blackboard talk), RWTH Aachen, Dec. 2020.
Departmental Colloquium of the NIU Department of Mathematical Sciences (virtual slide talk), Northern Illinois University, Nov. 2020.
Representation Theory at the Villa Denis 2020, TU Kaiserslautern, Sept. 2020. [Photos]
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.

Conferences Organised [+]

Representation Theory at the Villa Denis

2021: Jul. 15/16
2020: Sept. 17/18
2019: Oct. 15
[Organisation: Caroline Lassueur, Gunter Malle. Financial Support: SFB TRR 195, TU Kaiserslautern]

Representation Theory in Kaiserslautern

[TU Kaiserslautern, Jul. 13 - 14, 2017]
[Financial Support: SFB TRR 195, TU Kaiserslautern]
[Organisation: Olivier Dudas [Univ. Paris-Diderot], Caroline Lassueur [TU Kaiserslautern, Alessandro Paolini [TU Kaiserslautern]]

Small Workshop: Endo-p-permutation and trivial source modules in the representation theory of finite groups

[CIB, Aug. 29 - Sept. 2, 2016]
[Financial Support: TU Nachwuchsring, FNS, Schneider Stiftung]
[Organisation: Caroline Lassueur [TU Kaiserslautern]]

Young Algebraists' Conference 2014

[EPF Lausanne, Switzerland, June 9-13, 2014]
[Summer School Speakers: Tim Burness [Bristol], Steve Donkin [York], Olivier Dudas [Paris Diderot]
[Scientific Advisor: Donna Testerman [EPFL]]
[Organisation: Rosalie Chevalley [EPFL], Caroline Lassueur [TU Kaiserslautern]]

Young Algebraists' Conference 2012

[EPF Lausanne, Ecublens, Switzerland, June 11 to June 15, 2012 | webpage]
[Summer School Speakers: R. Kessar (Aberdeen), G. Malle (Kaiserslautern)]
[Organisation: Caroline Lassueur, Iulian Ion Simion]

February 17 & 18, 2011: 7th Swiss Graduate Colloquium

[EPF Lausanne, Ecublens, Switzerland | Room MA30 | Colloquium webpage]
[Organizers: C. Lassueur (EPFL) and D. Moldovan (EPFL)]
The colloquium is an activity of the Swiss Doctoral Program in Mathematics

I also produced the poster of the following:

June 22 - 25, 2010 : Group Representation Theory and Related Topics

Conference honoring Prof. J. Thévenaz on his 60th birthday.
[EPFL, Ecublens (Lausanne), Suisse | http://grt.epfl.ch]
[Organizers: J. Carlson (Athens), N. Mazza (Lancaster), R. Stancu (Picardie), D. Testerman (EPFL)]

Jun.-Prof. Dr. Caroline Lassueur

Publications and Preprints [+]

Talks [+]

Conferences Organised [+]

Seminar Gruppen und Darstellungen

Oberseminar SS 2022

AG Darstellungstheorie

Links