Constructions and Obstructions in Birational Geometry

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Constructions and Obstructions in Birational Geometry

 05 - 09 Nov 2018

ICMS, Bayes Centre, 47 Potterrow Edinburgh

  • Arend Bayer, University of Edinburgh
  • Ivan Cheltsov, University of Edinburgh
  • Liana Heuberger, University of Angers
  • Evgeny Shinder, University of Sheffield

About:

The main aims of the workshop included reviewing the most important recent developments in birational geometry, relating to the explicit methods and toric varieties and degenerations on the constructions side, and Chow groups, derived categories and the Grothendieck ring of varieties on the obstructions side, and subsequently initiating the discussion between experts, leading to further progress in the two neighboring fields (constructions and obstructions). The workshop was dedicated to William Edge (born 8 November 1904) who pioneered research in algebraic geometry in the UK and worked at the University of Edinburgh for most of his career

The schedule was devised to allow the audience to access experts in both fields, as it is rare for a mathematician to be interested in a singular approach to their research. The workshop brought together leading experts in the field with younger researchers. The organisers had a strong commitment to considering the gender balance of their speakers and ten of the 21 speakers were women.

 

Claire Voisin, Collège de France gave the Clay Mathematical Institute lecture Decomposition of the diagonal and nilpotence

Programme:

Susanna Zimmermann, Université d'Angers Quotients of Cremona Groups
Enrica Floris, Université de Poitiers On the B-Semiampleness Conjecture
Hamid Ahmadinezhad, Loughborough University Models of 3-fold Mori Fibre Spaces
Cinzia Casagrande, Università di Torino Fano 4-folds With Rational Fibrations
Piotr Pokora, Polish Academy of Sciences On the Bounded Negativity Conjecture
Alexander Kuznetsov, Steklov Mathematical Institute Semiorthogonal Decompositions of Singular Surfaces
Claire Voisin, Collège de France Decomposition of the Diagonal and Nilpotence
Alessio Corti, Imperial College London Volume-Preserving Birational Maps of PP3
John Ottem, University of Oslo The Integral Hodge Conjecture for Curve Classes
Marta Pieropan, École Polytechnique Fédérale de Lausanne On Rationally Connected Varieties Over C_1 Fields of Characteristic 0
Rita Pardini, Universita' di Pisa Higher Dimensional Clifford-Severi Equalities
Gavin Brown, University of Warwick Flops and Contraction Algebras
Anne-Sophie Kaloghiros, Brunel University Maximal Intersection Calabi-Yau Pairs
Jean-Louis Colliot-Thelene, CNRS et Université Paris-Sud A Few Results on Cubic Surfaces and Hypersurfaces
Ekaterina Amerik, Université de Paris-Sud Contraction Loci on Hyperkaehler Manifolds in Families
Nicolas Addington, University of Oregon Exoflops
Elisa Postinghel, Loughborough University Mutations of Newton-Okounkov Polytopes and Classification of Fano Manifolds
Francesco Zucconi, Universitá degli Studi di Udine Rationality of Special Sub-Loci in the Moduli Space of Spin Curves
Sergey Gorchinskiy, Steklov Mathematical Institute Categorical Measures for Varieties with Finite Group Actions
Diane Maclagan, University of Warwick Tree Compactifications of the Moduli Space of Genus Zero Curves
Lev Borisov, Rutgers University Explicit Equations of Ball Quotients

Sponsors and Funders:

The organisers acknowledge the generous support of the Clay Mathematical Institute who contributed to the costs of Claire Voisin and four early career researchers. In addition the organisers acknowledge the financial support from Arend Bayer’s ERC grant.