January - April 2011
Organizers: Steffen König, Peter Littelmann, Jan Schröer, Catharina Stroppel
Description: Representation theory is one of the most vibrant fields of mathematics today. Starting with the pioneering work of Frobenius, Burnside and Schur, its history is a story rich in innovation and implementation of techniques from throughout mathematics. By its very nature, representation theory lies at the intersection of several fields: algebra, Lie theory, algebraic geometry, topology, number theory, differential geometry, combinatorics, harmonic analysis and mathematical physics.
The Hausdorff Trimester Program provided a forum and meeting place for exchange of ideas and techniques, focussing on topics connecting representation theory with different areas of mathematics. It brought together leading experts from representation theory, geometry, and combinatorics and, at the same time, enhanced the exchange between the various research networks.
The focus was on the following research topics:
- Geometrization, categorification and integral canonical structures
- Homological aspects of representation theory
- Representations of Cherednik algebras
- (Finite dimensional) algebras and cluster algebras
- Infinite-dimensional Lie algebras and related algebraic structures
- Combinatorics of flag varieties and Schubert calculus
- Hecke algebras, Koszul duality and tilting theory
Associated Events: Workshop, Winter School
© HIM
| No. | Author(s) | Title | Preprint | Publication |
| 2011a01 | Cerulli Irelli, G. | Positivity in skew-symmetric cluster algebras of finite type | 1102.3050 | |
| 2011a02 | Chari, V.; Loktev, S. | An application of global Weyl modules of sln+1[t] to invariant theory | 1104.4048 | J. Algebra. 349 (2012), 317–328. https://doi.org/10.1016/j.jalgebra.2011.09.017 |
| 2011a03 | Feigin, E.; Finkelberg, M. | Degenerate flag varieties of type A: Frobenius splitting and BW theorem | 1103.1491 | Math. Z. 275(1-2) (2013), 55–77. https://doi.org/10.1007/s00209-012-1122-9 |
| 2011a04 | Fourier, G.; Khandai, T.; Kus, D.; Savage, A. | Local Weyl modules for equivariant map algebras with free abelian group actions | 1103.5766 | J. Algebra. 350 (2012), 386–404. https://doi.org/10.1016/j.jalgebra.2011.10.018 |
| 2011a05 | Gaussent, S.; Littelmann, P. | One-skeleton galleries, the path model, and a generalization of Macdonald's formula for Hall-Littlewood polynomials | 1004.0066 | Int. Math. Res. Not. IMRN 2012(12) (2012), 2649–2707. https://doi.org/10.1093/imrn/rnr108 |
| 2011a06 | Kleshchev, A. S.; Mathas, A.; Ram, A. | Universal graded Specht modules for cyclotomic Hecke algebras | 1102.3519 | Proc. Lond. Math. Soc. 105(6) (2012), 1245–1289. https://doi.org/10.1112/plms/pds019 |
| 2011a07 | Lanini, M. | Kazhdan-Lusztig combinatorics in the moment graph setting | 1103.2282 | J. Algebra. 370 (2012), 152–170. https://doi.org/10.1016/j.jalgebra.2012.07.023 |
| 2011a08 | Neher, E.; Savage, A. | Extensions and block decompositions for finite-dimensional representations of equivariant map algebras | 1103.4367 | Transform. Groups. 20(1) (2015), 183–228. https://doi.org/10.1007/s00031-015-9300-6 |
| 2011a09 | Reineke, M. | Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for m-loop quivers | 1102.3978 | Doc. Math. 17 (2012), 1–22. https://doi.org/10.4171/dm/359 |
| 2011a10 | Reineke, M.; Weist, T. | Refined GW/Kronecker correspondence | 1103.5283 | Math. Ann. 355(1) (2013), 17–56. https://doi.org/10.1007/s00208-012-0778-0 |
| 2011a11 | Ringel, C. M. | Cluster-additive functions on stable translation quivers | 1105.1529 | J. Algebraic Combin. 36(3) (2012), 475–500. https://doi.org/10.1007/s10801-012-0346-4 |
| 2011a12 | Schilling, A.; Tingley, P. | Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function | 1104.2359 | Electron. J. Combin.19(2) (2012). https://doi.org/10.37236/2184 |
| 2011a13 | Achar, P. N.; Stroppel, C. | Completions of Grothendieck groups | 1105.2715 | Bull. Lond. Math. Soc. 45(1) (2013), 200–212. https://doi.org/10.1112/blms/bds079 |
| 2011a14 | Angeleri Hügel, L.; Koenig, S.; Liu, Q.; Yang, D. | Stratifying derived module categories | C. R. Math. Acad. Sci. Paris. 349(21-22) (2011), 1139–1144. https://doi.org/10.1016/j.crma.2011.06.018 |
|
| 2011a15 | Angeleri Hügel, L.; Koenig, S.; Liu, Q. | Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras | 1104.3418 | J. Algebra. 352 (2012), 361–381. https://doi.org/10.1016/j.jalgebra.2011.09.041 |
| 2011a16 | Brundan, J.; Stroppel, C. | Gradings on walled Brauer algebras and Khovanov's arc algebra | 1107.0999 | Adv. Math. 231(2) (2012), 709–773. https://doi.org/10.1016/j.aim.2012.05.016 |
| 2011a17 | Cerulli Irelli, G.; Feigin, E.; Reineke, M. | Quiver Grassmannians and degenerate flag varieties | 1106.2399 | Algebra Number Theory. 6(1) (2012), 165–194. https://doi.org/10.2140/ant.2012.6.165 |
| 2011a18 | Feigin, E.; Finkelberg, M.; Littelmann, P. | Symplectic degenerate flag varieties | 1106.1399 | Canad. J. Math. 66(6) (2014), 1250–1286. https://doi.org/10.4153/CJM-2013-038-6 |
| 2011a19 | Hiss, G.; König, S.; Naehrig, N. | On the socle of an endomorphism algebra | J. Pure Appl. Algebra. 216(6) (2012), 1288–1294. https://doi.org/10.1016/j.jpaa.2011.12.014 |
|
| 2011a20 | Iyengar, S. B.; Krause, H. | The Bousfield lattice of a triangulated category and stratification | 1105.1799 | Math. Z. 273(3-4) (2013), 1215–1241. https://doi.org/10.1007/s00209-012-1051-7 |
| 2011a21 | Kang, S-J.; Kashiwara, M.; Tsuchioka, S. | Quiver Hecke superalgebras | 1107.1039 | J. Reine Angew. Math.711 (2016), 1–54. https://doi.org/10.1515/crelle-2013-0089 |
| 2011a22 | Liu, Q.; Yang, D. | Blocks of group algebras are derived simple | 1104.0500 | Math. Z. 272(3-4) (2012), 913–920. https://doi.org/10.1007/s00209-011-0963-y |
| 2011a23 | Neeb, K-H. | Semibounded representations of Hermitian Lie groups | 1104.2234 | Trav. Math. 21 (2012), 29-109. https://cris.fau.de/publications/116127044/ |
| 2011a24 | Cerulli Irelli, G.; Labardini-Fragoso, D. | Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials | 1108.1774 | Compos. Math. 148(6) (2012), 1833–1866. https://doi.org/10.1112/S0010437X12000528 |
| 2011a25 | De Concini, C.; Maffei, A. | A generalized Steinberg section and branching rules for quantum groups at roots of 1 | 1107.0248 | Mosc. Math. J. 12(3) (2012), 469–495. https://doi.org/10.17323/1609-4514-2012-12-3-469-495 |
| 2011a26 | Geiss, C.; Leclerc, B.; Schröer, J. | Cluster structures on quantum coordinate rings | 1104.0531 | Selecta Math. (N.S.) 19(2) (2013), 337–397. https://doi.org/10.1007/s00029-012-0099-x |
| 2011a27 | Speyer, D.; Thomas, H. | Acyclic cluster algebras revisited | 1203.0277 | Algebras, quivers and representations. (2013), 275–298. https://doi.org/10.1007/978-3-642-39485-0_12 |
| 2011a28 | Dupont, G.; Thomas, H. | Atomic bases in cluster algebras of types A and à | 1106.3758 | Proc. Lond. Math. Soc. 107(4) (2013), 825–850. https://doi.org/10.1112/plms/pdt001 |
| 2011a29 | Chen, H.; Xi, C. | Stratifications of derived categories from tilting modules over tame hereditary algebras | 1107.0444 | |
| 2011a30 | Fourier, G.; Manning, N.; Senesi, P. | Global Weyl modules for the twisted loop algebra | 1110.2752 | Abh. Math. Semin. Univ. Hambg. 83(1) (2013), 53–82. https://doi.org/10.1007/s12188-013-0074-2 |
| 2011a31 | Hilgert, J.; Kobayashi, T.; Möllers, J. | Minimal representations via Bessel operators | 1106.3621 | J. Math. Soc. Japan. 66(2) (2014), 349–414. https://doi.org/10.2969/jmsj/06620349 |
| 2011a32 | Brion, M. | Invariant Hilbert schemes | 1102.0198 | |
| 2011a33 | Brion, M. | Homogeneous bundles over abelian varieties | 1101.2771 | J. Ramanujan Math. Soc. 27(1) (2012), 91–118. https://jrms.ramanujanmathsociety.org/archieves/v27-1.html |
| 2011a34 | Brion, M. | Homogeneous projective bundles over abelian varieties | 1104.0818 | Algebra Number Theory. 7(10) (2013), 2475–2510. https://doi.org/10.2140/ant.2013.7.2475 |
| 2011a35 | Lenart, C.; Schilling, A. | Crystal energy functions via the charge in types A and C | 1107.4169 | Math. Z. 273(1-2) (2013), 401–426. https://doi.org/10.1007/s00209-012-1011-2 |
| 2011a36 | Bump, D.; Salisbury, B.; Schilling, A. | Lie methods and related combinatorics in Sage | link | |
| 2011a37 | Brav, C.; Thomas, H. | Thin monodromy in Sp(4) | 1210.0523 | Compos. Math. 150(3) (2014), 333–343. https://doi.org/10.1112/S0010437X13007550 |
| 2011a38 | Chari, V.; Fourier, G.; Sagaki, D. | Posets, tensor products and Schur positivity | 1210.6184 | Algebra Number Theory. 8(4) (2014), 933–961. https://doi.org/10.2140/ant.2014.8.933 |
| 2011a39 | Bennett, M.; Chari, V.; Manning, N. | BGG reciprocity for current algebras | 1106.0347 | Adv. Math. 231(1) (2012), 276–305. https://doi.org/10.1016/j.aim.2012.05.005 |
| 2011a40 | Chlouveraki, M.; Gordon, I.; Griffeth, S. | Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras | 1104.4070 | New trends in noncommutative algebra. (2012), 77–89. https://doi.org/10.1090/conm/562/11131 |
| 2011a41 | Geiss, C.; Leclerc, B.; Schröer, J. | Factorial cluster algebras | 1110.1199 | Doc. Math. 18 (2013), 249–274. https://doi.org/10.4171/dm/396 |
| 2011a42 | Wenzl, H. | On centralizer algebras for spin representations | 1107.4183 | Comm. Math. Phys. 314(1) (2012), 243–263. https://doi.org/10.1007/s00220-012-1494-z |
| 2011a43 | Fomin, S.; Pylyavskyy, P. | Tensor diagrams and cluster algebras | 1210.1888 | Adv. Math. 300 (2016), 717–787. https://doi.org/10.1016/j.aim.2016.03.030 |
| 2011a44 | Gordon, I. G.; Losev, I. | On category O for cyclotomic rational Cherednik algebras | 1109.2315 | J. Eur. Math. Soc. (JEMS) 16(5) (2014), 1017–1079. https://doi.org/10.4171/JEMS/454 |
Name |
Affiliation |
| Lidia Angeleri Hügel | Università di Verona |
| Susumu Ariki | Osaka University |
| Arkady Berenstein | University of Oregon |
| Michel Brion | Université Grenoble |
| Jonathan Brundan | University of Oregon |
| Vyjayanthi Chari | University of California at Riverside |
| Joseph Chuang | City University London |
| Corrado De Concini | Università "La Sapienza" Roma |
| Stéphanie Cupit-Foutou | Universität Köln |
| Felix Dietlein | Universität Köln |
| Michael Ehrig | Universität Bonn |
| Ming Fang | Chinese Academy of Science |
| Evgeny Feigin | University - Higher School of Economics HSE |
| Peter Fiebig | Universität Erlangen-Nürnberg |
| Sergey Fomin | University of Michigan |
| Ghislain Fourier | Universität Köln |
| Stéphane Gaussent | Université Henri Poincaré Nancy I |
| Iain Gordon | University of Edinburgh |
| Qiong Guo | Universität Stuttgart |
| Henning Haahr-Andersen | Aarhus University |
| Anne Henke | Oxford University |
| Joachim Hilgert | Universität Paderborn |
| Joachim Hilgert | Universität Paderborn |
| Gerhard Hiß | RWTH Aachen |
| Giovanni Cerulli Irelli | Università "La Sapienza" Roma |
| Rollo Crozier John Jenkins | University of Edinburgh |
| Yong Jiang | Universität Bielefeld |
| Masaki Kashiwara | Kyoto University |
| Alexander Kleshchev | University of Oregon |
| Inka Klostermann | Universität Köln |
| Toshiyuki Kobayashi | University of Tokyo |
| Stavros Kousidis | Universität Köln |
| Henning Krause | Universität Bielefeld |
| Shrawan Kumar | University of North Carolina at Chapel Hill |
| Shrawan Kumar | University of North Carolina at Chapel Hill |
| Deniz Kus | Universität Köln |
| Steffen König | Universität Stuttgart |
| Martina Lanini | Universita' degli Studi di Roma Tre |
| Bernard Leclerc | LMNO Université de Caen |
| Brandyn Lee | The University of North Carolina at Chapel Hill |
| Émilie Liboz | Université de Besançon |
| Peter Littelmann | Universität Köln |
| Dong Liu | Universität Köln |
| Qunhua Liu | Universität Stuttgart |
| Sergey Loktev | Higher School of Economics |
| Ivan Loseu | Massachusetts Institute of Technology/MIT |
| Andrea Maffei | Università di Roma "La Sapienza" |
| Gunter Malle | TU Kaiserslautern |
| Nathaniael Manning | University of California, Riverside |
| Maurizio Martino | Universität Bonn |
| Vanessa Miemietz | University of East Anglia |
| Luca Moci | TU Berlin |
| Hiraku Nakajima | Kyoto University |
| Karl-Hermann Neeb | FAU Erlangen-Nürnberg |
| An Hoa Nguyen | Universität Köln |
| Bruno Niemann | Universität Köln |
| Eric M. Opdam | Universität Amsterdam |
| Santosha Kumar Pattanayak | Chennai Mathematical Institute |
| Thomas Quella | University of Cologne |
| Arun Ram | University of Melbourne |
| Markus Reineke | Bergische Universität Wuppertal |
| Idun Reiten | NTNU Norges teknisk-naturvitenskapelige universitet |
| Claus Michael Ringel | Universität Bielefeld |
| Adam-Christiaan Ruben van Roosmalen | MPI Bonn |
| Amber Russell | Louisiana State University |
| Steen Ryom-Hansen | Universidad de Talca |
| Daisuke Sagaki | University of Tsukuba |
| Selene Sanchez-Flores | Universität Stuttgart |
| Alistair Savage | University of Ottawa |
| Ralf Schiffler | University of Connecticut |
| Olivier Schiffmann | Université Paris-Sud 11 |
| Anne Schilling | University of California at Davis |
| Olaf Schnürer | Universität Bonn |
| Jan Schröer | Universität Bonn |
| Bea Schumann | Universität Köln |
| Armin Shalile | Universität Stuttgart |
| Christopher Spencer | University of Edinburgh |
| John Tobias Stafford | Mancester University |
| Friederike Stoll | Universität Stuttgart |
| Catharina Stroppel | Universität Bonn |
| Harry Tamvakis | University of Maryland |
| Hugh Thomas | University of New Brunswick |
| Jorge Vitória | Universität Stuttgart |
| Hans Wenzl | University of California San Diego |
| Changchang Xi | Beijing Normal University |
| Oksana Yakimova | Universität Köln |
| Dong Yang | Max-Planck Institut für Mathematik Bonn |
| Andrei Zelevinsky | Northeastern University |
This list does not include people who only participated in the workshop or the winter school.
© HIM