Birational Geometry

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Birational Geometry

 06 - 10 Dec 2010
 ICMS, 15 South College Street Edinburgh

Scientific Organisers:

  • Caucher Birkar, University of Cambridge

  • Ivan Cheltsov, University of Edinburgh

This workshop was held in honour of Vyacheslav V. Shokurov's 60th birthday. 


  • James McKernan, Massachusetts Institute of Technology - Birational Boundedness

  • Burt Totaro, University of Cambridge - Partially Positive Line Bundles

  • Yum-Tong Siu, Harvard University - Recent and Historical Analytic Techniques for Algebro-Geometric Problems

  • Hajime Tsuji, Sophia University - External Constructions of Canonical Metrics and a Conjectural Approach for the Abundance

  • Yujiro Kawamata, University of Tokyo - Survey of the Abundance Conjecture

  • Mihai Paun, Universite Nancy - Non-Vanishing and Metric Properties of Adjoint Bundles 

  • Fedor Bogomolov, Courant Institute of Mathematical Sciences - Universal Spaces in Birational Geometry

  • Mircea Mustata, University of Michigan - Invariants of Singularities in Zero and Positive Characteristic

  • Kenji Matsuki, Purdue University - Resolution of Singularities of an Ideal in Positive Characteristic in Dimension Three

  • Vlacheslav Nikulin, University of Liverpool - The Transition Constant for Arithmetic Hyperbolic Reflection Groups

  • Yuri Zarhin, Pennsylvania State University - Hodge Classes on Certain Hyperelliptic Prymians

  • Slava Shokurov, Johns Hopkins University - Moduli and Birational Geometry

  • Claire Voisin, Institute de Mathematiques Jussieu - Integral Hodge Classes, Unramified Cohomology and Birational Invariants

  • Shigefumi Mori, Kyoto University - Three Dimensional Q-conic Bundles and Related Topics

  • Jean-Pierre Demailly, Universite de Grenoble - Holomorphic Morse Inequalities and the Green-Griffiths-Lang Conjecture

  • Shing-Tung Yau, Harvard University - Geometry of Moduli Space of Kahler-Einstein Manifolds

  • Ludmil Katzarkov, University of Miami - Gaps, Spectra and Applications

  • Simon Donaldson, Imperial College London - Discussion of the Kahler-Einstein Problem

  • Valery Alexeev, University of Georgia - Explicit Compactifications of Moduli of Varieties of General Type

  • Yuri Prokhorov, Moscow State University - On the Classification of Singular Fano Threefolds

  • Alessio Corti, Imperial College London - Finite Generation of the Canonical Ring and the Mori Program

  • Victor Kulikov, Steklov Institute - On Non-Rationality of Cubic Fourfolds

  • Jun-Muk Hwang, Korea Institute of Advanced Study - Syzygies of Compact Complex Hyperbolic Manifolds

  • Osamu Fujino, Kyoto University - Minimal Model Theory for Log Surfaces

  • Miles Reid, University of Warwick - Codimension 4 Gorenstein Rings

  • Yuji Sano, Kyushu University - Alpha-Invariant and k-Stability of Ano Varieties

  • Alexander Tikhomirov, Yaroslavl State Pedagogical University - Rationality of the Moduli Space of Mathematical Instantons

  • Stephane Lamy, University of Warwick - The Cremona Group is not a Simple Group


Hamid, AhmadinezhadUniversity of Basel
Valery, AlexeevUniversity of Georgia
Florin, AmbroInstitute of Mathematics of the Romanian Academy
Tatiana, BandmanBar Ilan University
Caucher, BirkarUniversity of Cambridge
Fedor, BogomolovCourant Institute
Sébastien, BoucksomCNRS, Université Paris 6
Philip, BradfieldUniversity of Wolverhampton (retired)
Amael, BroustetUniversity Lille 1
Nero, BudurUniversity of Notre Dame
Frédéric, CampanaUniversité de Lorraine
Paolo, CasciniImperial College London
Ivan, CheltsovUniversity of Edinburgh
Yifei, ChenInstitute of Mathematics, Chinese Academy of Sciences
Sung Rak, ChoiUniversity of California, Riverside
Alessio, CortiImperial College London
Joseph, CutroneJohns Hopkins University
Tommaso, de FernexUniversity of Utah
Jean-Pierre, DemaillyUniversité de Grenoble I
Simon, DonaldsonImperial College London
Ivan, FesenkoUniversity of Nottingham
Osamu, FujinoDepartment of Mathematics, Faculty of Science, Kyoto University
Sergey, GalkinIPMU, University of Tokyo
Elizabeth, GasparimUniversity of Edinburgh
Yoshinori, GongyoUniversity of Tokyo
Alexey, GorinovUniversity of Liverpool
Vladimir, GuletskiiUniversity of Liverpool
Jun-Muk, HwangKorea Institute for Advanced Study
Seung-Jo, JungKorea Institute for Advanced Study
Anne-Sophie, KaloghirosBrunel University London
Ludmil, KatzarkovUniversity of Miami
Masayuki, KawakitaKyoto University
Y, KawamataUniversity of Tokyo
Tim, KirschnerUniversität Duisburg-Essen
Dimitra, KostaUniversity of Glasgow
Victor, KulikovSteklov Mathematical Institute
Alexander, KuznetsovSteklov Mathematical Institute
Stéphane, LamyUniversity of Warwick
Nicholas, MarshburnJohns Hopkins University
Jesus, Martinez GarciaUniversity of Edinburgh
Kenji, MatsukiPurdue University
Daisuke, MatsushitaHokkaido University
James, McKernanMassachusetts Institute of Technology
Shigefumi, MoriRIMS, Kyoto University
Mircea, MustataUniversity of Michigan
Viacheslav, NikulinUniversity of Liverpool
Dmitri, PanovKing's College London
Jihun, ParkPohang University of Science and Technology
Mihai, PaunKorea Institute for Advanced Science
Yuri, ProkhorovMoscow State University
Victor, PrzyjalkowskiSteklov Institute
Miles, ReidUniversity of Warwick
Dmitrijs, SakovicsUniversity of Edinburgh
Gregory, SankaranUniversity of Bath
Yuji, SanoKyushu University
Taro, SanoUniversity of Warwick
Nick, Shepherd-BarronUniversity of Cambridge
Vyacheslav, ShokurovJohns Hopkins University & Steklov Institute of Mathematics
Constantin, ShramovSteklov Mathematical Institute
Yum-Tong, SiuHarvard University
Yukihide, TakayamaDepartment of Mathematical Sciences, Ritsumeikan University
Alexander, TikhomirovYaroslavl State Pedagogical University
Burt, TotaroUniversity of Cambridge
Hajime, TsujiSophia University
Claire, VoisinInstitut de Mathematiques de Jussieu
Michael, WemyssUniversity of Edinburgh
Pelham, WilsonUniversity of Cambridge
Andrew, WilsonUniversity of Edinburgh
Shing-Tung, YauHarvard University
Yuri, ZarhinPennsylvania State University