Universität Bonn

Junior Trimester Program: "Differential Geometry"

September - December 2011

Description: This Junior Hausdorff Trimester Program gave young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Differential Geometry.

The research topics included

  • Prescribed scalar curvature on open manifolds
  • Gluing Ricci-flat metrics
  • Spacelike foliations and curvature conditions in Lorentzian geometry
  • Variational methods and special holonomy
  • Geometry of Banach spaces

Associated Events: 

  • Trimester Seminar
  • Seminar on Field Theory
  • Workshop on Geometric Flows
  • Workshop on hyperkahler geometry and related topics
  • Lectures on Symmetric Spaces
TP_2011_09.png
© Wikimedia Commons

Publications

No. Author(s) Title Preprint Publication
2011c01 Große, N.; Nardmann, M. The Yamabe constant on noncompact manifolds 1206.06104 J. Geom. Anal. 24(2) (2014), 1092–1125.
https://doi.org/10.1007/s12220-012-9365-65
2011c02 Hall, S.; Haslhofer, R.; Siepmann, M. The stability inequality for Ricci-flat cones 1111.49816 J. Geom. Anal. 24(1) (2014), 472–494.
https://doi.org/10.1007/s12220-012-9343-z7
2011c03 Cheeger, J.; Haslhofer, R.; Naber, A. Quantitative stratification and the regularity of mean curvature flow 1207.36198 Geom. Funct. Anal. 23(3) (2013), 828–847.
https://doi.org/10.1007/s00039-013-0224-99
2011c04 Nikolaus, T.; Waldorf, K. Lifting problems and transgression for non-abelian gerbes 1112.470210 Adv. Math. 242 (2013), 50–79.
https://doi.org/10.1016/j.aim.2013.03.02211
2011c05 Waldorf, K. A construction of string 2-group models using a transgression-regression technique 1201.505212 Analysis, geometry and quantum field theory, 99–115.
https://doi.org/10.1090/conm/584/1158813
2011c06 Swoboda, J. Morse homology for the Yang-Mills gradient flow 1103.084514 J. Math. Pures Appl. 98(2) (2012), 160–210.
https://doi.org/10.1016/j.matpur.2012.02.00115
2011c07 Swoboda, J.; Ziltener, F. A symplectically non-squeezable small set and the regular coisotropic capacity 1203.239516 J. Symplectic Geom. 11(4) (2013), 509–523.
https://dx.doi.org/10.4310/JSG.2013.v11.n4.a117
2011c08 Weiss, H.; Witt, F. Energy functionals and soliton equations for G2-forms 1201.120818 Ann. Global Anal. Geom. 42(4) (2012), 585–610.
https://doi.org/10.1007/s10455-012-9328-y19
2011c09 Ammann, B.; Weiss, H.; Witt, F. A spinorial energy functional: critical points and gradient flow 1207.352920 Math. Ann. 365(3-4) (2016), 1559–1602.
https://doi.org/10.1007/s00208-015-1315-821
2011c10 Hein, H-J.; Naber, A. New logarithmic Sobolev inequalities and an ε-regularity theorem for the Ricci flow 1205.038022 Comm. Pure Appl. Math. 67(9) (2014), 1543–1561.
https://doi.org/10.1002/cpa.2147423
2011c11 Conlon, R. J.; Hein, H-J. Asymptotically conical Calabi-Yau manifolds, I 1205.634724 Duke Math. J. 162(15) (2013), 2855–2902.
https://doi.org/10.1215/00127094-238245225
2011c12 Redden, C. Trivializations of differential cocycles 1201.291926 J. Homotopy Relat. Struct. 10(2) (2015), 303–331.
https://doi.org/10.1007/s40062-013-0061-427
2011c13 Crowley, D.; Nordström, J. New invariants of G2-structures 1211.026928 Geom. Topol. 19(5) (2015), 2949–2992.
https://doi.org/10.2140/gt.2015.19.294929
2011c14 Haskins, M.; Hein, H-J.; Nordström, J. Asymptotically cylindrical Calabi-Yau manifolds 1212.692930 J. Differential Geom. 101(2) (2015), 213–265.
https://doi.org/10.4310/jdg/144236465131
2011c15 Große, N.; Nakad, R. Boundary value problems for noncompact boundaries of Spinc manifolds and spectral estimates 1207.456832 Proc. Lond. Math. Soc. 109(4) (2014), 946–974.
https://doi.org/10.1112/plms/pdu02633
2011c16 Glover, R.; Sawon, J. Generalized twistor spaces for hyperkähler manifolds 1309.475934 J. Lond. Math. Soc. 91(2) (2015), 321–342.
https://doi.org/10.1112/jlms/jdu07435

Participants

Name Affiliation
Walter D. Freyn WWU Münster
Rebecca Glover The University of North Carolina at Chapel Hill
Nadine Große Universität Leipzig
Felix Günther Technische Universität Berlin
Fei Han National University of Singapore
Mark Haskins Imperial College London
Robert Haslhofer University of Toronto
Hans-Joachim Hein Imperial College London
Michael Joachim Universität Münster
Alexander Kahle Ruhr-Universität Bochum
Panagiotis Konstantis Universität Tübingen
Ralf Köhl Justus-Liebig Universität Giessen
Marc Nardmann Universität Hamburg
Thomas Nikolaus Universität Bonn
Johannes Nordström Imperial College London
Dmitry Pavlov WWU Münster
Arturo Prat-Waldron Max Planck Institute for Mathematics
David Corbett Redden Long Island University at Post
Frank Reidegeld TU Dortmund
Justin Sawon University of North Carolina at Chapel Hill
Florian Schmidt Universität Tübingen
Urs Schreiber Universiteit Utrecht
Michael Struwe ETH Zurich
Jan Swoboda Max-Planck-Institut für Mathematik
Konrad Waldorf Universität Greifswald
Hartmut Weiss LMU München
Frederik Witt Universität Münster
Fabian Ziltener Korea Institute for Advanced Study (KIAS)
Poster TP_2011_09.jpg
© HIM

Links

  1. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2011_09#pubs
  2. https://www.mathematics.uni-bonn.de/en/programs/assets/report-tp_2011_09.pdf
  3. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2011_09#part
  4. http://arxiv.org/abs/1206.0610
  5. https://doi.org/10.1007/s12220-012-9365-6
  6. http://arxiv.org/abs/1111.4981
  7. https://doi.org/10.1007/s12220-012-9343-z
  8. http://arxiv.org/abs/1207.3619
  9. https://doi.org/10.1007/s00039-013-0224-9
  10. http://arxiv.org/abs/1112.4702
  11. https://doi.org/10.1016/j.aim.2013.03.022
  12. http://arxiv.org/abs/1201.5052
  13. https://doi.org/10.1090/conm/584/11588
  14. http://arxiv.org/abs/1103.0845
  15. https://doi.org/10.1016/j.matpur.2012.02.001
  16. http://arxiv.org/abs/1203.2395
  17. https://dx.doi.org/10.4310/JSG.2013.v11.n4.a1
  18. http://arxiv.org/abs/1201.1208
  19. https://doi.org/10.1007/s10455-012-9328-y
  20. http://arxiv.org/abs/1207.3529
  21. https://doi.org/10.1007/s00208-015-1315-8
  22. http://arxiv.org/abs/1205.0380
  23. https://doi.org/10.1002/cpa.21474
  24. http://arxiv.org/abs/1205.6347
  25. https://doi.org/10.1215/00127094-2382452
  26. http://arxiv.org/abs/1201.2919
  27. https://doi.org/10.1007/s40062-013-0061-4
  28. http://arxiv.org/abs/1211.0269
  29. https://doi.org/10.2140/gt.2015.19.2949
  30. http://arxiv.org/abs/1212.6929
  31. https://doi.org/10.4310/jdg/1442364651
  32. http://arxiv.org/abs/1207.4568
  33. https://doi.org/10.1112/plms/pdu026
  34. http://arxiv.org/abs/1309.4759
  35. https://doi.org/10.1112/jlms/jdu074
  36. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2011_09#start