Maria Chlouveraki's webpage

Address:	Department of Mathematics
	National and Kapodistrian University of Athens
	Panepistimioupolis
	157 84 Athens GREECE
Office:	209
Tel.:	+30 210 7276369
E-mail:	mchlouve@math.uoa.gr

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About me

I am an Assistant Professor at the Department of Mathematics of the National and Kapodistrian University of Athens since September 2022. Before that I held a position of Maitre de Conférences at Université de Versailles-St Quentin for 10 years.

My research interests include: Representation theory, group theory, algebraic combinatorics, low-dimensional topology, knot theory, Hecke algebras, complex reflection groups, finite reductive groups, braid groups, symmetric algebras, Cherednik algebras, Yokonuma-Hecke algebras, Temperley-Lieb algebras, Markov traces, knot invariants.

• Publications
  
  1. Rouquier blocks of the cyclotomic Hecke algebras, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 615-620 (available online: Elsevier SAS).
  2. Degree and valuation of the Schur elements of cyclotomic Hecke algebras, J. Algebra 320 (2008), 3935-3949.
  3. Rouquier blocks of the cyclotomic Ariki-Koike algebras, Algebra and Number Theory J. Vol. 2 No. 6 (2008), 689-720.
  4. Blocks and families for cyclotomic Hecke algebras, Lecture Notes in Mathematics 1981, Springer-Verlag Berlin Heidelberg, 2009.
  5. Families of characters of the imprimitive complex reflection groups, Kyoto RIMS Kokyuroku No 1647 (2009), 136-152.
  6. Rouquier blocks of the cyclotomic Hecke algebras of G(de,e,r), Nagoya Math. J. Vol. 197 (2010), 175-212.
  7. With Nicolas Jacon, Schur elements and basic sets for cyclotomic Hecke algebras, Journal of Algebra and its Applications Vol. 10, No.5 (2011), 979-993.
  8. With Hyohe Miyachi, Decomposition matrices for d-Harish-Chandra series: the exceptional rank two cases, LMS Journal of Computation and Mathematics 14 (2011), 271-290.
     
  9. With Nicolas Jacon, Schur elements for the Ariki-Koike algebra and applications, Journal of Algebraic Combinatorics 35, 2 (2012), 291-311.
     
  10. With Iain Gordon and Stephen Griffeth, Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras, AMS Contemporary Mathematics Vol. 562 (2012), 77-89.
      
  11. With Sofia Lambropoulou, The Yokonuma-Hecke algebras and the HOMFLYPT polynomial, Journal of Knot Theory and its Ramifications 22, No. 14 (2013), 1350080.
      
  12. With Loïc Poulain d'Andecy, Representation theory of the Yokonuma-Hecke algebra, Advances in Mathematics 259 (2014), 134-172.
  13. With Guillaume Pouchin, Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra, Algebras and Representation Theory, Volume 18, Issue 2 (2015), 421-447.
  14. Hecke algebras and symplectic reflection algebras, Commutative Algebra and Noncommutative Algebraic Geometry, I, MSRI Publications 67 (2015), 95-139.
  15. With Nicolas Jacon, On quantized decomposition maps for graded algebras, Algebras and Representation Theory 19, No. 1 (2016), 135-146.
      
  16. With Loïc Poulain d'Andecy, Markov traces on affine and cyclotomic Yokonuma-Hecke algebras, International Mathematics Research Notices 14 (2016), 4167-4228.
  17. With Vincent Sécherre, The affine Yokonuma-Hecke algebra and the pro-p-Iwahori Hecke algebra, Mathematical Research Letters 23, No. 3 (2016), 707-718.
  18. With Guillaume Pouchin, Representations of the Framisation of the Temperley-Lieb algebra, Perspectives in Lie Theory, Springer INdAM series (2017), 253-265.
  19. Representation theory of framisations of knot algebras, Algebraic Modeling of Topological and Computational Structures and Applications, Springer PROMS series (2017), 57-75.
  20. With Guillaume Pouchin, Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra, Math. Zeitschrift 285, No. 3 (2017), 1357-1380.
  21. From the Framisation of the Temperley-Lieb algebra to the Jones polynomial: an algebraic approach, Knots, Low-Dimensional Topology and Applications, Springer PROMS 284 (2019), 247-276.
  22. With Jesús Juyumaya, Konstantinos Karvounis and Sofia Lambropoulou, Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras, International Mathematics Research Notices 1 (2020), 214-286.
  23. With Christina Boura, Eirini Chavli and Konstantinos Karvounis, The BMM symmetrising trace conjecture for groups G4,G5,G6,G7,G8, Journal of Symbolic Computation 96 (2020), 62-84.
  24. With Christina Boura and Eirini Chavli, The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2, [Special Issue in honor of Michel Broué] Journal of Algebra 558 (2020), 176-198.
  25. With Dimos Goundaroulis, Aristides Kontogeorgis and Sofia Lambropoulou, A generalized skein relation for Khovanov homology and a categorification of the theta-invariant, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 151 , No. 6 (2021), 173-1757.
  26. With Eirini Chavli, The freeness and trace conjectures for parabolic Hecke subalgebras, Journal of Pure and Applied Algebra 226 (2022), 107050.
  27. With Nicolas Jacon, Defect in cyclotomic Hecke algebras, Math. Zeitschrift 305, 57 (2023). doi:10.1007/s00209-023-03380-w.
• Preprints
  1. With Jean-Baptiste Gramain and Nicolas Jacon, Generalised hook lengths and Schur elements for Hecke algebras, arXiv: 2406.19313.
• Ph.D. thesis (under the supervision of Michel Broué)
  On the cyclotomic Hecke algebras of complex reflection groups, Université Paris 7, 2007, arXiv:0710.0776, available on http://tel.archives-ouvertes.fr/tel-00310489.
  
• Habilitation thesis
  Hecke algebras, generalisations and representation theory, UVSQ, 2016, available on http://tel.archives-ouvertes.fr/tel-01411063.
  
• Ph.D. students
  
  • Salim Rostam, 2016-2018, codirector: Nicolas Jacon.
• Ilias Andreou, 2019-2023, codirector: Ivan Marin.
• Some talks
  
  • Dec 2023 Nikolaus Conference, RWTH Aachen, Germany, "Three generalizations of the Temperley-Lieb algebra", pdf
  • Aug 2023 LMS-Bath Symposium on Geometric and Categorical Representation Theory, University of Bath, UK, "Generalising the Temperley-Lieb algebra: representations and knots", pdf
  • June 2023 Representations of Reductive Groups: Celebrating the 60th birthday of Meinolf Geck, Aachen, Germany, "Schur elements and blocks of Hecke algebras", pdf
  • May 2023 9th Greek Algebra and Number Theory Conference, Aristotle University of Thessaloniki, Greece, "Generalizing the Temperley-Lieb algebra", pdf
  • Dec 2022 Nikolaus Conference, RWTH Aachen, Germany, "Defects and weights of blocks", pdf
  • Jul 2022 Second Congress for Greek Mathematicians, National Technical University of Athens, Greece, "The symmetric group: mysteries and miracles", pdf
  • Jan 2020 Conférence d'initiation à la recherche, ENS de Rennes, France, "Noeuds et algèbre(s)", pdf
  • Dec 2018 Nikolaus Conference, RWTH Aachen, Germany, "Two fundamental conjectures on the structure of Hecke algebras Part II: The BMM", pdf
  • Jul 2018 Computational Lie Theory, University of Stuttgart, Germany, "The symmetrising trace conjecture for Hecke algebras", pdf
  • Jun 2018 First Congress for Greek Mathematicians, University of Athens, Greece, "The symmetrising trace conjecture for Hecke algebras", pdf
  • Mar 2018 Séminaire algèbre et topologie, Université de Strasbourg, France, "Algèbres de Yokonuma-Hecke et invariants de noeuds", pdf
  • Dec 2017 Nikolaus Conference, RWTH Aachen, Germany, "Two lemmas: one seemingly true and one seemingly false", pdf
  • Sep 2016 Finite Chevalley groups, reflection groups and braid groups, EPFL, Lausanne, Switzerland, "Schur elements for Hecke algebras", pdf
  • Aug 2015 Bristol Leicester Oxford Colloquium, City University, London, UK, "Yokonuma-Hecke algebras and knot invariants", pdf
  • Jul 2015 Algebraic modeling of topological and computational structures and applications, NTUA, Athens, Greece, "Representation theory of framisations of knot algebras", pdf
  • Mar 2015 Séminaire de Probabilités et Théorie Ergodique, Université de Tours, France, "Noeuds, tresses et algèbres de Hecke", pdf
  • Jan 2015 Perspectives in Lie Theory, Centro di Ricerca Matematica Ennio de Giorgi, Pisa, Italy, "The Yokonuma-Hecke algebra of type A", pdf.
  • Sep 2014 Conference for the 50 years of Chevalley Seminar, CIRM, Luminy, France, "The Yokonuma-Hecke algebra of type A", pdf.
  • Jun 2013 Cohomology in Lie Theory, University of Oxford, UK, "Representation theory of Hecke algebras and connections with Cherednik algebras", pdf.
  • Nov 2012 Rencotre ANR Repred, Université d'Amiens, France, "Fonctions d'ordre pour les algèbres de Hecke et les algèbres de Cherednik", pdf.
  • Oct 2012 Séminaire de théorie des groupes, Université d'Amiens, France, "Les algèbres de Yokonuma-Hecke et le polynome HOMFLYPT", pdf.
  • Aug 2010 XIV International Conference on Representations of Algebras, Tokyo, Japan, "Decomposition matrices for cyclotomic Hecke algebras", pdf.
  • Dec 2009 Algebra and Geometry Seminar, University of Ioannina, Greece, "Hecke algebras and basic sets", pdf.
  • Dec 2009 Nikolaus Conference, RWTH Aachen, Germany, "Basic sets for cyclotomic Hecke algebras", pdf.
  • Jul 2009 LMS Workshop on Representation theory, Durham, UK, "Families of characters for the Ariki-Koike algebras", pdf.
  • May 2009 Workshop on Representation Theory, Lefkosia, Cyprus, "Blocks and families for cyclotomic Hecke algebras", pdf.
  • Feb 2009 Colloque Tournant, Université Paris 7, France, "Familles de caractères des groupes de réflexions complexes imprimitifs", pdf.
  • Oct 2008 RIMS Workshop 2008, Kyoto University, Japan, "Families of characters of the imprimitive complex reflection groups", pdf.
  • Sep 2008 Braids in Paris, IMJ, France, "Blocks of generic and cyclotomic Hecke algebras", pdf.
  • May 2008 8th Panhellenic Conference in Algebra, Number Theory and Applications, NTUA, Greece, "Families of characters for cyclotomic Hecke algebras", pdf.
  • Feb 2008 Postdoc Seminar, MSRI, USA, "Rouquier blocks of the cyclotomic Hecke algebras", pdf.
  • Dec 2007 Nikolaus Conference, RWTH Aachen, Germany, "Schur elements and Rouquier blocks" pdf.

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GAP

All the programs presented here require the packages CHEVIE and VKCURVE. You can download here a version of GAP3, prepared by Jean Michel, which contains both packages. For up-to-date versions, you can visit Jean Michel's webpage.

• Rouquier blocks for the exceptional complex reflection groups.
• Rouquier blocks for the Ariki-Koike algebras.
• Program for "Degree and Valuation of the Schur elements of cyclotomic Hecke algebras": DegVal.g.

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Some links

Mathematics Department of the University of Athens
Laboratoire de Mathématiques de Versailles
Algebra and Number Theory Research Group of the University of Edinburgh
Chair of Group Theory of the EPFL
L'Institut de Mathématiques de Jussieu - Paris Rive Gauche
Music of Thanos Tsouanas
xkcd
Abstruse Goose