Universität Bonn

Junior Trimester Program: "Topology"


September 5 – December 22, 2016

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

The focus was on the following research topics:

  • Interactions between Goodwillie calculus, chromatic methods, and unstable homotopy theory
  • Knot concordance and 4-manifolds
  • L2-Invariants
  • New perspectives in A-theory
  • Real trace methods
  • The Farrell-Jones conjecture
  • The operad of little disks and algebraic geometry

Associated Events:

  • Seminar on the Farrell-Jones conjecture
  • A-theory Group Seminar
  • K-theory Seminar
  • Seminar on knot concordance and 4-manifolds
  • L2-Seminar
  • Seminar on functor calculus and chromatic methods
  • Seminar on operads and algebraic geometry
  • Learning Seminars
  • Workshop: Interactions between operads and motives
  • Workshop: New directions in L2-invariants
  • MPIM-Workshop: 4-manifolds and knot concordance
  • Workshop: The Farrell-Jones conjecture
  • Workshop: Hermitian K-theory and trace methods
  • Felix Klein Lectures by Lars Hesselholt
  • Workshop: Fusion systems and equivariant algebraic topology

Publications

No. Author(s) Title Preprint Publication
2016c01 Malkiewich, C.; Merling, M. Equivariant A-theory 1609.03429 Doc. Math. 24 (2019), 815–855.
https://doi.org/10.4171/dm/694
2016c02 Kasprowski, D.; Ullmann, M.; Wegner, C.; Winges, C. The A-theoretic Farrell-Jones Conjecture for virtually solvable groups 1609.07468 Bulletin of the London Mathematical Society. 50(2) (2018), 189-367.
https://doi.org/10.1112/blms.12131
2016c03 Enkelmann, N.-E.; Lück, W.; Pieper, M.; Ullmann, M.; Winges, C. On the Farrell-Jones Conjecture for Waldhausen's A-theory 1607.06395 Geom. Topol. 22(6) (2018, 3321-3394.
https://doi.org/10.2140/gt.2018.22.3321
2016c04 Horel, G. Automorphisms of the little disks operad with p-torsion coefficients 1612.03420  
2016c05 Boavida de Brito, P.; Horel, G.; Robertson, M. Operads of genus zero curves and the Grothendieck-Teichmüller group 1703.05143 Geom. Topol. 23(1) (2019), 299-346.
https://doi.org/10.2140/gt.2019.23.299
2016c06 Friedl, S.; Nagel, M.; Orson, P.; Powell, M. Satellites and concordance of knots in 3-manifolds 1611.09114 Trans. Amer. Math. Soc. 371 (2019), 2279-2306.
https://doi.org/10.1090/tran/7313
2016c07 Kionke, S. Characters, L2-Betti numbers and an equivariant approximation theorem 1702.02599 Math. Ann. 371 (2018), 405–444.
https://doi.org/10.1007/s00208-017-1632-1
2016c08 Engel, A.; Marcinkowski, M. Burghelea conjecture and asymptotic dimension of groups 1610.10076  Journal of Topology and Analysis. 12(2) (2020), 321-356.
https://doi.org/10.1142/S1793525319500559
2016c09 Hackney, P.; Robertson, M. Lecture notes on infinity-properads 1610.00486 2016 MATRIX Annals. 1 (2016).
https://doi.org/10.1007/978-3-319-72299-3_18
2016c10 Brantner, L.; Heuts, G. The vn-periodic Goodwillie tower on wedges and cofibres 1612.02694  Homology, Homotopy and Applications. 22(1) (2020), 167 – 184.
http://dx.doi.org/10.4310/HHA.2020.v22.n1.a10
2016c11 Miller, A. N.; Piccirillo, L. Knot traces and concordance 1702.03974 Journal of Topology. 11(1) (2018), 201-220.
https://doi.org/10.1112/topo.12054
2016c12 May, J. P.; Merling, M.; Osorno, A. M. Equivariant infinite loop space theory, I. The space level story 1704.03413  
2016c13 Reeh, S. P.; Schlank, T. M.; Stapleton, N. A formula for p-completion by way of the Segal conjecture 1704.00271  Topology and its Applications. 322 (2022).
https://doi.org/10.1016/j.topol.2022.108255
2016c14 Kim, M. H.; Krcatovich, D.; Park, J. H. Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link 1703.10325  Trans. Amer. Math. Soc. 371(8) (2019), 5379-5400.
https://doi.org/10.1090/tran/7389
2016c15 Patchkoria, I.; Roitzheim, C. Rigidity and exotic models for v1-local G-equivariant stable homotopy theory 1705.03855  Math. Z. 295 (2020), 839–875.
https://doi.org/10.1007/s00209-019-02364-z
2016c16 Funke, F. The L2-torsion polytope of amenable groups 1704.07164  Doc. Math. 23 (2018), 1969–1993.
https://doi.org/10.4171/dm/665
2016c17 Davis, C. W.; Nagel, M.; Park, J.; Ray, A. Concordance of knots in S1 x S2 1707.04542 Journal of the London Mathematical Society. 98(1) (2018), 59 – 84.
https://doi.org/10.1112/jlms.12125
2016c18 Eldred, R.; Heuts, G.; Mathew, A.; Meier, L. Monadicity of the Bousfield-Kuhn functor 1707.05986 Proc. Amer. Math. Soc. 147(4) (2019), 1789-1796.
https://doi.org/10.1090/proc/14331
2016c19 Friedl, S.; Miller, A. N.; Powell, M. Linking forms of amphichiral knots 1706.07940  
2016c20 Feller, P.; Lewark, L. On classical upper bounds for slice genera 1611.02679 Sel. Math. New Ser. 24 (2018), 4885–4916.
https://doi.org/10.1007/s00029-018-0435-x
2016c21 McCoy, D. Non-integer characterizing slopes for torus knots 1610.03283  Communications in Analysis and Geometry. 28(7) (2020), 1647–1682.
https://dx.doi.org/10.4310/CAG.2020.v28.n7.a5
2016c22 Meier, J.; Zupan, A. Characterizing Dehn surgeries on links via trisections 1707.08955 Proceedings of the National Academy of Sciences. 115(43) (2018), 10887 – 10893.
https://doi.org/10.1073/pnas.1717187115
2016c23 Meier, J. Trisections and spun 4-manifolds 1708.01214  Mathematical Research Letters. 25(5) (2018), 1497 – 1524.
https://dx.doi.org/10.4310/MRL.2018.v25.n5.a7
2016c24 Nagel, M.; Orson, P.; Park, J.H.; Powell, M. Smooth and topological almost concordance 1707.01147  International Mathematics Research Notices. 2019(23) (2019), 7324–7355.
https://doi.org/10.1093/imrn/rnx338
2016c25 Kim, M. H.; Powell, M.; Teichner, P. The round handle problem 1706.09571  
2016c26 Lewark, L.; McCoy, D. On calculating the slice genera of 11- and 12-crossing knots 1508.01098 Experimental Mathematics, 28(1), 81–94.
https://doi.org/10.1080/10586458.2017.1353453
2016c27 Raptis, G.; Steimle, W. A cobordism model for Waldhausen K-theory 1711.08779 Journal of the London Mathematical Society. 99(2) (2019), 516 – 534.
https://doi.org/10.1112/jlms.12182
2016c28 Dotto, E.; Moi, K.; Patchkoria, I.; Reeh, S. P. Real topological Hochschild homology 1711.10226  
2016c29 Dotto, E.; Ogle, C. K-theory of Hermitian Mackey functors and a reformulation of the Novikov Conjecture 1703.09523  
2016c30 Dotto, E.; Malkiewich, C.; Patchkoria, I.; Sagave, S.; Woo, C. Comparing cyclotomic structures on different models for topological Hochschild homology 1707.07862 Journal of Topology. 12(4) (2019), 1146 – 1173.
https://doi.org/10.1112/topo.12116
2016c31 Hackney, P.; Robertson, M.; Yau, D. Higher cyclic operads 1611.02591 Algebraic & Geometric Topology. 19 (2019), 863–940.
https://doi.org/10.2140/agt.2019.19.863
2016c32 Kim, M. H.; Yamada, S. Ideal classes and Cappell-Shaneson homotopy 4-spheres 1707.03860  Kyungpook Mathematical Journal. 63(3) (2023), 373-411.
https://doi.org/10.5666/KMJ.2023.63.3.373
2016c33 Cha, J. C.; Kim, M. H. The bipolar filtration of topologically slice knots 1710.07803  Advances in Mathematics. 388 (2021).
https://doi.org/10.1016/j.aim.2021.107868
2016c34 Hedden, M.; Kim, M. H.;Mark, T. E.;Park, K. Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot 1802.08620 Trans. Amer. Math. Soc. 372(11) (2019), 7619-7638.
https://doi.org/10.1090/tran/7786
2016c35 Kammeyer, H. Profinite commensurability of S-arithmetic groups 1802.08559  Acta Arithmetica. 197 (2021), 311-330.
DOI: 10.4064/aa200401-23-7
2016c36 Kammeyer, H. A remark on torsion growth in homology and volume of 3-manifolds 1802.09244  
2016c37 Bunke, U.; Engel, A.; Kasprowski, D.; Winges, C. Equivariant coarse homotopy theory and coarse algebraic K-homology 1710.04935  Contemporary Mathematics. 749 (2020).
https://doi.org/10.1090/conm/749
2016c38 Bunke, U.; Engel, A.; Kasprowski, D.; Winges, C. Coarse homology theories and finite decomposition complexity 1712.06932 Algebr. Geom. Topol. 19(6) (2019), 3033-3074.
https://doi.org/10.2140/agt.2019.19.3033
2016c39 Kasprowski, D.; Powell, M.; Teichner, P. Four-manifolds up to connected sum with complex projective planes 1802.09811  American Journal of Mathematics. 144(1) (2022), 75-118.
https://doi.org/10.1353/ajm.2022.0001

Participants

Name Affiliation
Paolo Aceto Renyi Institute of Mathematics
Vadim Alekseev TU Dresden
Gregory Arone Stockholm University
Stefan Behrens Universiteit Utrecht
Pedro Boavida de Brito University of Lisbon
Lukas Brantner Harvard University
Joana Cirici Freie Universität Berlin
Dustin Clausen Københavns Universitet
Christopher Davis The University of Wisconsin - Eau Claire
Emanuele Dotto Massachusetts Institute of Technology
Rosona Eldred Universität Münster
Alexander Engel Texas A&M University
Stefan Friedl Universität Regensburg
Ana Garcia Lecuona Aix-Marseille Université
Marco Golla Uppsala University
Lukasz Grabowski Lancaster University
Gerrit Herrmann Universität Regensburg
Gijs Heuts Copenhagen University
Jonathan Hillman The University of Sydney
Geoffroy Horel MPIM
Anders Husebø Universitetet i Bergen
Amalie Høgenhaven University of Copenhagen
Boldizsar Kalmar Alfred Renyi Institute of Mathematics
Holger Kammeyer Karlsruher Institut für Technologie
Aditi Kar University of Southampton
Daniel Kasprowski MPIM
Min Hoon Kim Korea Institute for Advanced Study (KIAS)
Steffen Kionke Heinrich-Heine-Universität Düsseldorf
Alexander Kupers Københavns Universitet
Miriam Kuzbary Rice University
Yi Liu Peking University
Cary Malkiewich University of Illinois at Urbana-Champaign
Akhil Mathew Harvard University
Duncan McCoy University of Glasgow
Jeffrey Meier Indiana University
Lennart Meier Universität Bonn
Mona Merling Johns Hopkins University
Allison Miller University of Texas, Austin
Kristian Jonsson Moi WWU Münster
Matthias Nagel Université du Québec à Montréal
Justin Noel Universität Regensburg
Patrick Orson University of Durham
Jung Hwan Park Rice University
Kyungbae Park Korea Institute for Advanced Study (KIAS)
Irakli Patchkoria Universität Bonn
Juanita Pinzon Caicedo University of Georgia
Mark Powell Université du Québec à Montréal
Jean Raimbault Université Paul Sabatier
Daniel Ramras Indiana University - Purdue University Indianapolis
Georgios Raptis Universität Regensburg
Arunima Ray Brandeis University
Sophia Raynor University of Aberdeen
Sune Precht Reeh Massachusetts Institute of Technology
Marco Robalo Université Pierre et Marie Curie
Marcy Robertson University of Melbourne
Roman Sauer Karlsruher Institut für Technologie
Tomer Schlank The Hebrew University of Jerusalem
Daniel Schäppi Universität Regensburg
Oliver Sommer WWU Münster
Nathaniel Stapleton Universität Regensburg
Wolfgang Steimle Universität Augsburg
Mark Ullmann Freie Universität Berlin
Michael Weiss WWU Münster
Christoph Winges WWU Münster
Jianchao Wu Penn State University
Heng Xie University of Warwick
Sarah Yeakel University of Maryland
Alexander Zupan University of Nebraska-Lincoln

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

Poster TP_2016_09.jpg
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