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

Recent/Upcoming Events:

Sept 2024: I am co-organising the Meeting Representation Theory at the Villa Denis 2024
2nd of July 2024: Felix-Klein-Colloquium talk by Pierre-Emmanuel Caprace
June 2024: Sam Miller is visiting our working group
8th of June: Tag der Mathematik 2024 at the RPTU in Kaiserslautern
May 2024: 1st in the Women's Team Ranking with the Team RPTU at the B2Run Firmenlauf 2024
Feb 2024: I was at the Darstellungstheorietage 2023 (!!)
Dec 2023: I was at the Nikolaus Conference 2023
Oct 2023: I co-organised the meeting Representation Theory at the Villa Denis 2023
WS 2023/24: On leave for the purpose of a Substitute Professorship at the Leibniz Universität Hannover
Sep 2023: Bernhard Böhmler defended his doctoral thesis successfully

Selected Recent/Upcoming talks:

Nov 2024: Norddeutsches Gruppentheorie-Kolloquium 2024, TU Dresden
Jul 2024: Ringvorlesung, RPTU Kaiserslautern-Landau
Jan 2024: Oberseminar zur Algebra und Algebraischen Kombinatorik, Leibniz Universität Hannover
Sep 2023: Algebra and Number Theory in Conversation, University of Manchester
Apr 23: Meeting Representation Theory of Finite Groups at the MFO

Previous Events [+]

Publications and Preprints [+]

In progress.

On the source algebra equivalence class of blocks with cyclic defect groups, Part II,
(with G. Hiß)

Submitted.

The self-dual indecomposable modules in blocks with cyclic defect groups,
(with J. Murray)
[arXiv]
Trivial source character tables of Frobenius groups of type $(C_p\times C_p)\rtimes H$,
(with B. Böhmler)
[arXiv]

Published.

Principal $2$-blocks with wreathed defect groups up to splendid Morita equivalence,
(with S. Koshitani and B. Sambale)
Annals of Representation Theory 1 no. 3 (2024), 439–463
[doi | arXiv]
On the source algebra equivalence class of blocks with cyclic defect groups, Part I,
(with G. Hiß)
Beitr. Algebra Geom. 65 (2024), 187-207. [doi | arXiv | Preprint]
A tour of $p$-permutation modules and related classes of modules,
Jahresber. Dtsch. Math.-Ver. 125 (2023), 137-189. [doi | preprint]
Trivial source character tables of $SL_2(q)$, Part II,
(with N. Farrell)
Proc. Edinburgh Math. Soc. 66 (2023), 689-709. [doi | arXiv]
Trivial source endo-trivial modules for groups with semi-dihedral Sylow 2-subgroups,
(with S. Koshitani)
Beitr. Algebra Geom. 66 (2022), 233–246. [doi | arXiv | preprint]
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:

On the source-algebra equivalence class of blocks with cyclic defect groups, Oberwolfach Rep. 19 (2023), Representations of Finite Groups 2023 [doi]
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 Rep. 16 (2019), Meeting Representations of Finite Groups [doi]
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]

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 [+]

Places where I gave talks

2024:

Norddeutsches Gruppentheorie-Kolloquium 2024, TU Dresden, Nov 2024
Ringvorlesung, RPTU Kaiserslautern-Landau, Jul 2024
Oberseminar zur Algebra und Algebraischen Kombinatorik, Leibniz Universität Hannover, Jan 2024

2023:

Algebra and Number Theory in Conversation, University of Manchester, Sep 2023
Meeting Representation Theory of Finite Groups at the MFO, Apr 2023
Algebra Seminars at Bilkent University, Feb 2023
Colloque tournant du GDR TLAG, Université de Reims (FR), Feb 2023

2022:

Seminars in Algebra, Mindanao State University, Iligan Institute of Technology, Dec 2022
Nikolauskonferenz 2022, RWTH Aachen, 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]
Departmental Colloquium (virtual) RWTH Aachen, Jul. 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.

Caroline Lassueur

Publications and Preprints [+]

Talks [+]

Doctoral Students [+]

Looking for trivial source modules? [+]

Guest Seminar Groups and Representations

Oberseminar SS 2024

AG Darstellungstheorie

Links