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* P. Antonini, A. Buss, [https://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, [https://arxiv.org/abs/1905.07730 arXiv:1905.07730 math.KT]; 05/2019
 
* P. Antonini, A. Buss, [https://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, [https://arxiv.org/abs/1905.07730 arXiv:1905.07730 math.KT]; 05/2019
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* [https://homepages.uni-regensburg.de/~bok41767/ K. Bohlen], [http://math.univ-bpclermont.fr/~lescure/ J. M. Lescure]. A geometric approach to K-homology for Lie manifolds, [https://arxiv.org/abs/1904.04069 arXiv:1904.04069]; 04/2019
  
 
* B. Karlhofer, [https://homepages.abdn.ac.uk/kedra/pages/ J. Kędra], [http://www.math.uni.wroc.pl/~marcinkow/ M. Marcinkowski], A. Trost. Qualitative counting closed geodesics,[https://arxiv.org/abs/1904.11237 arXiv:1904.11237 math.DG]; 04/2019
 
* B. Karlhofer, [https://homepages.abdn.ac.uk/kedra/pages/ J. Kędra], [http://www.math.uni.wroc.pl/~marcinkow/ M. Marcinkowski], A. Trost. Qualitative counting closed geodesics,[https://arxiv.org/abs/1904.11237 arXiv:1904.11237 math.DG]; 04/2019
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* [http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/Bunke/index.html U. Bunke], [http://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], [http://people.mpim-bonn.mpg.de/winges/ Ch. Winges], Equivariant coarse homotopy theory and coarse algebraic K-homology. [https://arxiv.org/abs/1710.04935 arXiv:1710.04935 math.KT];10/2017
 
* [http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/Bunke/index.html U. Bunke], [http://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], [http://www.math.uni-bonn.de/people/daniel/ D. Kasprowski], [http://people.mpim-bonn.mpg.de/winges/ Ch. Winges], Equivariant coarse homotopy theory and coarse algebraic K-homology. [https://arxiv.org/abs/1710.04935 arXiv:1710.04935 math.KT];10/2017
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* [https://homepages.uni-regensburg.de/~bok41767/ K. Bohlen], René Schulz. Quantization on manifolds with an embedded submanifold, [https://arxiv.org/abs/1710.02294 arXiv:1710.02294 math.DG]; 10/2017
  
 
*[https://fedebinda.wordpress.com/ F. Binda] and A. Krishna, Zero cycles with modulus and zero cycles on singular varieties, to appear in Compositio Math, [https://arxiv.org/abs/1512.04847  arXiv:1512.04847v4 [math.AG]].   
 
*[https://fedebinda.wordpress.com/ F. Binda] and A. Krishna, Zero cycles with modulus and zero cycles on singular varieties, to appear in Compositio Math, [https://arxiv.org/abs/1512.04847  arXiv:1512.04847v4 [math.AG]].   

Latest revision as of 13:01, 7 June 2019


[edit] Topics

Invariants play a dominant role in all of mathematics: Invariants should be fine enough to extract the right information, but coarse enough to be computable in specific cases. Higher invariants are a structural and hierarchical refinement of certain classical invariants. The long term goal of this Collaborative Research Centre is to formulate the principles of construction and computation of higher invariants in a systematic way.

  • Higher Chern classes
  • Volumes, L-functions, and polylogarithms
  • Metric structures on cohomology, vector bundles, and cycles
  • Higher categories and enriched structures

[edit] Projects and principal investigators

[edit] Publications/Preprints (in reverse chronological order)

[edit] 2019

  • P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, arXiv:1905.07730 math.KT; 05/2019

[edit] 2018

  • S. Friedl, JungHwan Park, Bram Petri, Jean Raimbault and Arunima Ray, On distinct finite covers of 3-manifolds. arXiv:1807.09861; 07/2018
  • G. Herrmann, Sutured manifolds and L^2-Betti numbers. arxiv:1804.09519; 04/2018
  • J. Sprang, The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. arXiv:1802.04996; 02/2018

[edit] 2017

  • Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ_2-extension, to appear in Asian J. Math. arXiv:1711.01697; 11/2017
  • F. Hebestreit, M. Land, W. Lück, O. Randal-Williams. A Vanishing theorem for tautological classes of aspherical manifolds. arXiv:1705.06232 math.AT; 05/2017
  • F. Binda, J. Cao, W. Kai and R. Sugiyama, Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus, J. of Algebra, Vol. 469, 1, 2017.

[edit] 2016

  • N. Otoba; J. Petean, Solutions of the Yamabe equation on harmonic Riemannian submersions, arXiv:1611.06709 math.DG; 11/2016
  • D. Scarponi, Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. arXiv:1602.08755v3; 02/2016
  • O. Gwilliam, D. Pavlov. Enhancing the filtered derived category. arXiv:1602.01515, accepted by J. Pure Appl. Algebra; 02/2016

[edit] 2015

  • D. Scarponi, The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne-Beilinson cohomology. arXiv:1512.01997; 12/2015
  • F. Bambozzi, O. Ben-Bassat, K. Kremnizer . Stein Domains in Banach Algebraic Geometry. arxiv:1511.09045 math.AG; 11/2015
  • F. Martin Analytic functions on tubes of non-Archimedean analytic spaces, with an appendix by Christian Kappen arXiv:1510.01178; 10/2015
  • I. Barnea, M. Joachim, S. Mahanta. Model structure on projective systems of C*-algebras and bivariant homology theories. math.KT; 08/2015

[edit] 2014

  • A. Beilinson, G. Kings, A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. arXiv:1410:4741 math.NT; 10/2014