Higher Dimensional Algebraic Geometry: Classification, Minimal Models, Fano Varieties and Stacks

Home > Workshops > 2008 > Higher Dimensional Algebraic Geometry: Classification, Minimal Models, Fano Varieties and Stacks

Higher Dimensional Algebraic Geometry: Classification, Minimal Models, Fano Varieties and Stacks

 22 - 26 Sep 2008

ICMS
  • Ivan Cheltsov, University of Edinburgh
  • Alessio Corti, Imperial College London
  • Miles Reid, University of Warwick

About:

The two main objectives of this workshop were to put into focus rapid recent developments in the higher dimensional minimal model program and to consolidate advances in the geometry of Fano and Calabi-Yau 3-folds that have arisen over the last decade. In addition, the meeting helped plan how to exploit new results, methods and problems arising from these developments. These topics featured in several international programmes and conferences, including the 2007-08 Warwick EPSRC Algebraic Geometry symposium and the MSRI half-year program on Algebraic Geometry January-May 2009. 

Speakers

Valery Alexeev, University of Georgia - Weighted Hyperplane Arrangements

Caucher Birkar, University of Cambridge - Boundedness vs Thresholds and Flips

Alexey Bondal, Aberdeen University - Mirror Symmetry for Toric Orbifolds

Gavin Brown, University of Kent - Tom and Jerry and Sarkisov Links on Fano 3-Folds

Jim Bryan, University of British Columbia - The Crepant Resolution Conjecture for Donaldson-Thomas Theory and the Orbifold Topological Vertex

Frederic Campana, Institut Élie Cartan Nancy - Special Orbifolds and Classification 

Paolo Cascini, Imperial College London - On the Minimal Model Program

Tom Coates, Imperial College London/Royal Society - Higher Genus Gromov-Witten Invariants and Crepant Resolutions 

Alessio Corti, Imperial College London - Towards Finite Generation Without the MMP

Lawrence Ein, University of Illinois - Regularities of Projective Varieties

Hiroshi Iritani, Imperial College London - Fourier-Mukai Transformations and Toric Quantum Cohomology

Vasily Iskovskikh, Steklov Mathematical Insitute - On Elements of Prime Order in the Cremona Group of the Plane over a Perfect Field

Jun-Muk Hwang, Korea Institute for Advanced Study - Base Manifolds for Fibrations of Projective Irreducible Symplectic Manifolds

Dimitry Kaledin, Steklov Mathematical Insitute - Motivic Structures in Non-Commutative Geometry

Ludmil Katzarkov, University of Miami - Generalized HMS and Rationality Questions

Frances Kirwan, University of Oxford - Quotients by Non-Reductive Group Actions

Mircea Mustata, University of Michigan - An Inductive Approach to Singularities of Pairs

Dmitry Orlov, Steklov Mathematical Insitute - Generators and Dimensions of Triangulated Categories

Yuri Prokhorov, Moscow State University - On Q-Fano Threefolds

Aleksandr Pukhlikov, University of Liverpool - Birationally Rigid Fano Varieties

Nikos Tziolas, University of Cyprus - Smoothings of Schemes with Non-Isolated Singularities

Misha Verbitsky, Institute of Theoretical and Experimental Physics - Nef Classes on Hyperkaehler Manifolds