Universität Bonn

Junior Trimester Program: "Algebra and Number Theory"


January - April 2010

Description: The Junior Hausdorff Trimester Program gave young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Algebra and Number Theory.
 
The main focus was on the following research topics:

  • Shimura varieties (Group A)
  • Arithmetic aspects of dynamical systems (Group B)
  • Arithmetic geometry and moduli spaces of elliptic surfaces (Group C)
  • Moduli spaces of vector bundles (Group D)
  • Ramanujan graphs (Group E)

Associated Events: 

  • Trimester Seminar
  • Seminar on Shimura Varieties
  • Seminar on Ramanujan graphs
  • Workshop: Arithmetic aspects of elliptic surfaces

Publications

No. Author(s) Title Preprint Publication
2010a01 Akhtari, S. Representation of unity by binary forms 1011.4507 Trans. Amer. Math. Soc. 364(4) (2012), 2129–2155.
https://doi.org/10.1090/S0002-9947-2011-05507-8
2010a02 Arias-de-Reyna, S.; Gajda, W.; Petersen, S. Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion 1010.2444 Math. Nachr. 286(13) (2013), 1269–1286.
https://doi.org/10.1002/mana.201200217
2010a03 Bayarmagnai, G. Versal torsors with few parameters  
2010a04 Biswas, I.; Dey, A. Restriction theorems for Higgs principal bundles Bull. Sci. Math. 135(3) (2011), 251–261.
https://doi.org/10.1016/j.bulsci.2010.04.003
2010a05 Canci, J. K.; Peruginelli, G.; Tossici, D. On some notions of good reduction for endomorphisms of the projective line 1103.3853 Manuscripta Math. 141(1-2) (2013), 315–331.
https://doi.org/10.1007/s00229-012-0573-y
2010a06 Caruso, X. Estimation des dimensions de certaines variétés de Kisin 1005.2394 J. Reine Angew. Math. 723 (2017), 1–77.
https://doi.org/10.1515/crelle-2014-0066
2010a07 Ghate, E.; Kuma, N. 2-adic Hida theory and applications  
2010a08 Şengün, M. H. On the integral cohomology of Bianchi groups 1005.5179 Exp. Math. 20(4) (2011), 487–505.
https://doi.org/10.1080/10586458.2011.594671
2010a09 Smithling, B. D. Topological flatness of local models for ramified unitary groups. I. The odd dimensional case 1002.3520 Adv. Math. 226(4) (2011), 3160–3190.
https://doi.org/10.1016/j.aim.2010.10.004
2010a10 Ulas, M. Variations on twists of triples of elliptic curves  The Rocky Mountain Journal of Mathematics. 43(2) (2013), 645-660.
http://dx.doi.org/10.1216/RMJ-2013-43-2-645
2010a11 Witzel, S. Finiteness properties of Chevalley groups over the Laurent polynomial ring over a finite field 1007.5216  
2010a12 Pappas, G.; Rapoport, M.; Smithling, B. Local models of Shimura varieties, I. Geometry and combinatorics 1011.5551 Handbook of moduli. Vol. III, 135–217.
MR3135437
2010a13 Schütt, M. Picard numbers of quintic surfaces 1308.2525 Proc. Lond. Math. Soc. 110(2) (2015), 428–476.
https://doi.org/10.1112/plms/pdu056
2010a14 Köhl, R. On the geometry of global function fields, the Riemann-Roch theorem, and finiteness properties of S-arithmetic groups 1008.3664 Buildings, finite geometries and groups, 49–80.
https://doi.org/10.1007/978-1-4614-0709-6_4


Participants

Name
Affiliation
Shabnam Akhtari Max-Planck- Institut für Mathematik
Marco Antei Université de Lille 1
Jérémy Le Borgne IRMAR - Université Rennes 1
Kai-Uwe Bux Universität Bielefeld
Jung Kyu Canci Université Lille 1
Xavier Caruso Université Rennes 1
Narasimha Kumar Cheraku Tata Institute of Fundamental Research
Nora Elizabeth Csima University of Illinois at Urbana-Champaign
Tuan Ngo Dac Université de Paris 13
Arijit Dey Tata Institute of Fundamental Research
Sara Arias-de-Reyna Dominguez Universidad de Barcelona
Qendrim Gashi Institut des Hautes Etudes Scientifiques
Bayarmagnai Gombodorj The University of Tokyo
Gerald Gotsbacher University of Toronto
Yasuko Hasegawa The university of Tokyo
Ralf Köhl Justus-Liebig Universität Gießen
Anders Kølvraa Max-Planck Institut für Mathematik
Oliver Lorscheid University of Wuppertal
Bernhard Muehlherr Universität Giessen
Giulio Peruginelli University of Pisa
Anna Posingies Universität Hamburg
Parthasarathi Rangasamy ICTP
Matthias Schütt Leibniz Universität Hannover
Mehmet Haluk Sengun Universität Duisburg-Essen
Cecilia Salgado Guimaraes da Silva Universiteit Leiden
Brian Smithling University of Toronto
Dajano Tossici Scuola Normale Superiore di Pisa
Maciej Ulas Jagiellonian University
Eva Viehmann Universität Bonn
Ying Zong University of Toronto

The list above does not include people who only participated in the workshop.

Poster TP_2010_01.jpg
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