Universität Bonn

Junior Trimester Program: "Algebraic Geometry"


January 6 - April 25, 2014

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

The main focus was on the following research topics:

  • Birational and hyper-Kähler geometry
  • p-adic methods in Arakelov geometry and Shimura varieties
  • Brill-Noether methods in the study of hyper-Kähler and Calabi-Yau manifolds
  • Derived categories of hyper-Kähler varieties
  • The derived category of a T-variety
  • Complex projective threefolds

Associated Events: 

  • Trimester Seminar
  • PAS Seminar
  • Seminar: Topology of singular hypersurfaces
  • Seminar: Fibrations of surfaces to curves
  • Mini Courses
  • Felix-Klein-Lectures: The equations defining projective varieties
  • Workshop: Arithmetic intersection theory and Shimura varieties
  • Workshop on derived categories
  • Workshop: Birational geometry and foliations
  • Workshop: Geometry of complex threefolds
  • Workshop: Brill-Noether methods in the study of hyper-Kähler and Calabi-Yau manifolds

Publications

No. Author(s) Title Preprint Publication
2014a01 Addington, N.; Donovan, W.; Segal, E. The Pfaffian-Grassmannian equivalence revisited 1401.3661 Algebr. Geom. 2(3) (2015), 332–364.
https://doi.org/10.14231/AG-2015-015
2014a02 Krug, A.; Meachan, C. Spherical functors on the Kummer surface 1402.1651 Nagoya Math. J. 219 (2015), 1–8.
https://doi.org/10.1215/00277630-2891370
2014a03 Lönne, M.; Penegini, M. On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type 1402.6438 Rend. Circ. Mat. Palermo. 64(3) (2015), 483–492.
https://doi.org/10.1007/s12215-015-0212-z
2014a04 Ancona, G. Degeneration of Hodge structures over Picard modular surfaces 1403.5187 Int. J. Number Theory. 13(5) (2017), 1145–1164.
https://doi.org/10.1142/S1793042117500622
2014a05 Franciosi, M.; Pardini, R.; Rollenske, S. Log-canonical pairs and Gorenstein stable surfaces with KX2=1 1403.2159 Compos. Math. 151(8) (2015), 1529–1542.
https://doi.org/10.1112/S0010437X14008045
2014a06 Meachan, C.; Zhang, Z. Birational geometry of singular moduli spaces of O'Grady type 1404.6783 Adv. Math. 296 (2016), 210–267.
https://doi.org/10.1016/j.aim.2016.02.036
2014a07 Nicaise, J.; Xu, C. Poles of maximal order of motivic zeta functions 1403.6792 Duke Math. J. 165(2) (2016), 217–243.
https://doi.org/10.1215/00127094-3165648
2014a08 Rollenske, S. A new irreducible component of the moduli space of stable Godeaux surfaces 1404.7027 Manuscripta Math. 149(1-2) (2016), 117–130.
https://doi.org/10.1007/s00229-015-0776-0
2014a09 Addington, N.; Lehn, M. On the symplectic eightfold associated to a Pfaffian cubic fourfold 1404.5657 J. Reine Angew. Math. 731 (2017), 129–137.
https://doi.org/10.1515/crelle-2014-0145
2014a10 Addington, N. On two rationality conjectures for cubic fourfolds 1405.4902 Math. Res. Lett. 23(1) (2016), 1–13.
https://doi.org/10.4310/MRL.2016.v23.n1.a1
2014a11 Penegini, M.; Polizzi, F. A note on surfaces with pg=q=2 and an irrational fibration 1407.5477 Adv. Geom. 17(1) (2017), 61–73.
https://doi.org/10.1515/advgeom-2016-0031
2014a12 Bauer, T.; Kovács, S. J.; Küronya, A.; Mistretta, E. C.; Szemberg, T.; Urbinati, S. On positivity and base loci of vector bundles 1406.5941 Eur. J. Math. 1(2) (2015), 229–249.
https://doi.org/10.1007/s40879-015-0038-4
2014a13 Mongardi, G. Towards a classification of symplectic automorphisms on manifolds of K3[n] type 1405.3232 Math. Z. 282(3-4) (2016), 651–662.
https://doi.org/10.1007/s00209-015-1557-x
2014a14 Greb, D. Complex-analytic quotients of algebraic G-varieties 1403.2097 Math. Ann. 363(1-2) (2015), 77–100.
https://doi.org/10.1007/s00208-014-1163-y
2014a15 Hochenegger, A.; Martinengo, E. Mori dream stacks 1403.7984 Math. Z. 280(3-4) (2015), 1185–1202.
https://doi.org/10.1007/s00209-015-1472-1
2014a16 Dorsch, T.; Lazić, V. A note on the abundance conjecture 1406.6554 Algebr. Geom. 2(4) (2015), 476–488.
https://doi.org/10.14231/AG-2015-020
2014a17 Addington, N.; Donovan, W.; Meachan, C. Mukai flops and P-twists 1507.02595 J. Reine Angew. Math. 748 (2019), 227–240.
https://doi.org/10.1515/crelle-2016-0024
2014a18 Addington, N.; Donovan, W.; Meachan, C. Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences 1507.02597 J. Lond. Math. Soc. 93(3) (2016), 846–865.
https://doi.org/10.1112/jlms/jdw022
2014a19 Donovan, W.; Wemyss, M. Twists and braids for general 3-fold flops 1504.05320 J. Eur. Math. Soc. 21(6) (2019), 1641–1701.
https://doi.org/10.4171/JEMS/868
2014a20 Knutsen, A. L.; Lelli-Chiesa, M.; Mongardi, G. Severi varieties and Brill-Noether theory of curves on abelian surfaces 1503.04465 J. Reine Angew. Math. 749 (2019), 161–200.
https://doi.org/10.1515/crelle-2016-0029
2014a21 Knutsen, A. L.; Lelli-Chiesa, M.; Mongardi, G. Wall divisors and algebraically coisotropic subvarieties of irreducible holomorphic symplectic manifolds 1507.06891 Trans. Amer. Math. Soc. 371(2) (2019), 1403–1438.
https://doi.org/10.1090/tran/7340
2014a22 Lönne, M.; Penegini, M. On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type II 1507.05779 Doc. Math. 21 (2016), 197–204.
https://www.emis.de/journals/DMJDMV/vol-21/06.html
2014a23 Bauer, T.; Kovács, S. J.; Küronya, A.; Mistretta, E. C.; Szemberg, T.; Urbinati, S. On positivity and base loci of vector bundles 1406.5941 Eur. J. Math. 1(2) (2015), 229–249.
https://doi.org/10.1007/s40879-015-0038-4
2014a24 Polizzi, F.; Rapagnetta, A.; Sabatino, P. On factoriality of threefolds with isolated singularities 1305.4371 Michigan Math. J. 63(4) (2014), 781–801.
https://doi.org/10.1307/mmj/1417799226
2014a25 Corti, A.; Kaloghiros, A-S. The Sarkisov program for Mori fibred Calabi-Yau pairs 1504.00557 Algebr. Geom. 3(3) (2016), 370–384.
https://doi.org/10.14231/AG-2016-016
2014a26 Nicole, M-H. Unitary Shimura varieties   book chapter, appeared in Shimura Varieties and their associated Galois Representations, Paris book project, vol. II, 25 pages, Oct. 2014
2014a27 Arbarello, E.; Saccà, G. Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties 1505.00759 Adv. Math. 329 (2018), 649–703.
https://doi.org/10.1016/j.aim.2018.02.003
2014a28 Charles, F. Birational boundedness for holomorphic symplectic varieties, Zarhin's trick for K3 surfaces, and the Tate conjecture 1407.0592 Ann. of Math. 184(2) (2016), 487–526.
https://doi.org/10.4007/annals.2016.184.2.4
2014a29 Coskun, I.; Prendergast-Smith, A. Fano manifolds of index n-2 and the cone conjecture 1507.08527 Math. Proc. Cambridge Philos. Soc. 166(1) (2019), 1–31.
https://doi.org/10.1017/S0305004117000676
2014a30 Donovan, W. Contractions of 3-folds: deformations and invariants 1511.01656 Internat. J. Math. 27(7) (2016), 16.
https://doi.org/10.1142/S0129167X16400048
2014a31 Eriksson, D.; Freixas i Montplet, G.; Mourougane, C. Singularities of metrics on Hodge bundles and their topological invariants 1611.03017 Algebr. Geom. 5(6) (2018), 742–775.
https://doi.org/10.14231/ag-2018-021


Participants

Name Affiliation
Nicolas Addington Duke University
Giuseppe Ancona Universität Duisburg-Essen
Enrico Arbarello Sapienza Università di Roma
Luca Benzo University of Trento
Gilberto Bini Università degli studi di Milano
Nathan Thomas Broomhead Institute for Algebraic Geometry
Junyan Cao Université Paris 6
François Charles Université de Rennes 1
Giulio Codogni University of Cambridge
Will Donovan University of Edinburgh
Frédéric Déglise ENS Lyon, UMPA, CNRS
Thomas Eckl University of Liverpool
Dennis Eriksson Max-Planck Institute
Hélène Esnault Freie Universität Berlin
Claudio Fontanari Università degli Studi di Trento
Marco Franciosi Universita' di Pisa
Gerard Freixas Montplet CNRS-Institut de Mathématiques de Jussieu
Javier Fresán MPIM
Luis Garcia Imperial College London
Frank Gounelas Humboldt University
Daniel Greb Ruhr-Universität Bochum
Andreas Hochenegger Universität zu Köln
Daniel Huybrechts Universität Bonn
Anne-Sophie Kaloghiros Brunel University
Remke Kloosterman Humboldt-Universität zu Berlin
Andreas Leopold Knutsen University of Bergen
Alex Küronya Budapest University of Technology and Economics
Vladimir Lazic Universität Bonn
Margherita Lelli-Chiesa Scuola Normale Superiore
Christian Liedtke Technische Universität München
Marco Maculan Université Pierre et Marie Curie (Paris 6)
Elena Martinengo Freie Universität Berlin
Ciaran Meachan The University of Edinburgh
Ernesto Carlo Mistretta Universita' di Padova
Giovanni Mongardi Università degli studi di Milano
Marc-Hubert Nicole Université d'Aix-Marseille
John Christian Ottem University of Cambridge
Matteo Penegini Università degli Studi di Milano
Jerome Poineau Université de Strasbourg
Francesco Polizzi Università della Calabria
Arthur Prendergast-Smith University of Illinois at Chicago
Antonio Rapagnetta Universita' di Roma Tor Vergata
Michael Rapoport Universität Bonn
Sönke Rollenske Universität Bielefeld
Pietro Sabatino Università della Calabria
Giulia Sacca Princeton University
Giulia Sacca Princeton University
Siddarth Sankaran Universität Bonn
Peter Scholze Universität Bonn
Edoardo Sernesi Università Roma Tre
Hendrik Süß Moscow State University
Stefano Urbinati Universita' degli Studi di Padova
Chenyang Xu Beijing International Center of Mathematics Research

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

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