Scientific Calendar Event



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  • Monday, 9 September 2002
    • 08:30 - 10:00 Registration
      For those arriving after 10.00 am, registration will be held in Room 109, first floor, Main Building.
      Location: Main Building, Lobby
      • 08:30 Registration 1h30'
    • 14:15 - 14:30 Opening
      • 14:15 Opening 15'
    • 14:30 - 15:30 Introduction to algebraic stacks (1)
      • 14:30 Introduction to algebraic stacks (1) 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
        Material: lecture notes
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Introduction to Gromov-Witten invariants (1)
      • 16:00 Introduction to Gromov-Witten invariants (1) 1h0'
        Speaker: A. Bertram (University of Utah, U.S.A.)
        Material: lecture notes
  • Tuesday, 10 September 2002
    • 09:30 - 10:30 Complex symplectic moduli spaces (1)
      • 09:30 Complex symplectic moduli spaces (1) 1h0'
        Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany)
        Material: lecture notes
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Vertex algebras and algebraic curves (1)
      • 11:00 Vertex algebras and algebraic curves (1) 1h0'
        Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
        Material: lecture notes
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Introduction to Gromov-Witten invariants (2)
      • 14:30 Introduction to Gromov-Witten invariants (2) 1h0'
        Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Introduction to algebraic stacks (2)
      • 16:00 Introduction to algebraic stacks (2) 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
  • Wednesday, 11 September 2002
    • 09:30 - 10:30 Complex symplectic moduli spaces (2)
      • 09:30 Complex symplectic moduli spaces (2) 1h0'
        Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Vertex algebras and algebraic curves (2)
      • 11:00 Vertex algebras and algebraic curves (2) 1h0'
        Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Introduction to algebraic stacks (3)
      • 14:30 Introduction to algebraic stacks (3) 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Introduction to Gromov-Witten invariants (3)
      • 16:00 Introduction to Gromov-Witten invariants (3) 1h0'
        Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
  • Thursday, 12 September 2002
    • 09:30 - 10:30 Complex symplectic moduli spaces (3)
      • 09:30 Complex symplectic moduli spaces (3) 1h0'
        Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Vertex algebras and algebraic curves (3)
      • 11:00 Vertex algebras and algebraic curves (3) 1h0'
        Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Introduction to Gromov-Witten invariants (4)
      • 14:30 Introduction to Gromov-Witten invariants (4) 1h0'
        Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Introduction to algebraic stacks (4)
      • 16:00 Introduction to algebraic stacks (4) 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
  • Friday, 13 September 2002
    • 09:30 - 10:30 Complex symplectic moduli spaces (4)
      • 09:30 Complex symplectic moduli spaces (4) 1h0'
        Speaker: M. Lehn (Johannes-Gutenberg-Universität, Mainz, Germany)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Vertex algebras and algebraic curves (4)
      • 11:00 Vertex algebras and algebraic curves (4) 1h0'
        Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Introduction to algebraic stacks (5)
      • 14:30 Introduction to algebraic stacks (5) 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Introduction to Gromov-Witten invariants (5)
      • 16:00 Introduction to Gromov-Witten invariants (5) 1h0'
        Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
  • Monday, 16 September 2002
    • 09:30 - 10:30 Moduli Spaces of Hyperkähler Manifolds (1)
      • 09:30 Moduli Spaces of Hyperkähler Manifolds (1) 1h0'
        Speaker: D. Huybrechts (Universität zu Köln, Germany)
        Material: lecture notes
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Relative stable morphisms and degeneration of Gromov-Witten invariants (1)
      • 11:00 Relative stable morphisms and degeneration of Gromov-Witten invariants (1) 1h0'
        Speaker: J. Li (Stanford University, U.S.A.)
        Material: lecture notes
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Cohomology and Intersection theory of Algebraic stacks (1)
      • 14:30 Cohomology and Intersection theory of Algebraic stacks (1) 1h0'
        Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
        Material: lecture notes
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Cohomology and Intersection theory of Algebraic stacks (2)
      • 16:00 Cohomology and Intersection theory of Algebraic stacks (2) 1h0'
        Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
  • Tuesday, 17 September 2002
    • 09:30 - 10:30 Relative stable morphisms and degeneration of Gromov-Witten invariants (2)
      • 09:30 Relative stable morphisms and degeneration of Gromov-Witten invariants (2) 1h0'
        Speaker: J. Li (Stanford University, U.S.A.)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Moduli Spaces of Hyperkähler Manifolds (2)
      • 11:00 Moduli Spaces of Hyperkähler Manifolds (2) 1h0'
        Speaker: D. Huybrechts (Universität zu Köln, Germany)
    • 12:00 - 14:00 Lunch break
      • 12:00 Lunch break 2h0'
    • 14:00 - 15:00 Cohomology and Intersection theory of Algebraic stacks (3)
      • 14:00 Cohomology and Intersection theory of Algebraic stacks (3) 1h0'
        Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:15 Orbifold cohomology and quantum cohomology of orbifolds (1)
      • 15:15 Orbifold cohomology and quantum cohomology of orbifolds (1) 1h0'
        Speaker: D. Abramovich (Boston University, U.S.A.)
        Material: lecture notes
    • 16:15 - 16:30 Break
      • 16:15 Break 15'
    • 16:30 - 17:30 Motivic Integration and McKay Correspondence (1)
      • 16:30 Motivic Integration and McKay Correspondence (1) 1h0'
        Speaker: F. Loeser (École Normale Supérieure, Paris, France)
  • Wednesday, 18 September 2002
    • 09:30 - 10:30 Moduli Spaces of Hyperkähler Manifolds (3)
      • 09:30 Moduli Spaces of Hyperkähler Manifolds (3) 1h0'
        Speaker: D. Huybrechts (Universität zu Köln, Germany)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Motivic Integration and McKay Correspondence (2)
      • 11:00 Motivic Integration and McKay Correspondence (2) 1h0'
        Speaker: F. Loeser (École Normale Supérieure, Paris, France)
    • 12:00 - 14:00 Lunch break
      • 12:00 Lunch break 2h0'
    • 14:00 - 15:00 Relative stable morphisms and degeneration of Gromov-Witten invariants (3)
      • 14:00 Relative stable morphisms and degeneration of Gromov-Witten invariants (3) 1h0'
        Speaker: J. Li (Stanford University, U.S.A.)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:15 Cohomology and Intersection theory of Algebraic stacks (4)
      • 15:15 Cohomology and Intersection theory of Algebraic stacks (4) 1h0'
        Speaker: K. Behrend (University of British Columbia)
    • 16:15 - 16:30 Break
      • 16:15 Break 15'
    • 16:30 - 17:30 Orbifold cohomology and quantum cohomology of orbifolds (2)
      • 16:30 Orbifold cohomology and quantum cohomology of orbifolds (2) 1h0'
        Speaker: D. Abramovich (Boston University, U.S.A.)
  • Thursday, 19 September 2002
    • 09:30 - 10:30 Relative stable morphisms and degeneration of Gromov-Witten invariants (4)
      • 09:30 Relative stable morphisms and degeneration of Gromov-Witten invariants (4) 1h0'
        Speaker: J. Li (Stanford University, U.S.A.)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Motivic Integration and McKay Correspondence (3)
      • 11:00 Motivic Integration and McKay Correspondence (3) 1h0'
        Speaker: F. Loeser (École Normale Supérieure, Paris, France)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Orbifold cohomology and quantum cohomology of orbifolds (3)
      • 14:30 Orbifold cohomology and quantum cohomology of orbifolds (3) 1h0'
        Speaker: D. Abramovich (Boston University, U.S.A.)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Motivic Integration and McKay Correspondence (4)
      • 16:00 Motivic Integration and McKay Correspondence (4) 1h0'
        Speaker: F. Loeser (École Normale Supérieure, Paris, France)
  • Friday, 20 September 2002
    • 09:30 - 10:30 Motivic Integration and McKay Correspondence (5)
      • 09:30 Motivic Integration and McKay Correspondence (5) 1h0'
        Speaker: F. Loser (École Normale Supérieure, Paris, France)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Moduli Spaces of Hyperkähler Manifolds (4)
      • 11:00 Moduli Spaces of Hyperkähler Manifolds (4) 1h0'
        Speaker: D. Huybrechts (Universität zu Köln, Germany)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Cohomology and Intersection theory of Algebraic stacks (5)
      • 14:30 Cohomology and Intersection theory of Algebraic stacks (5) 1h0'
        Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Orbifold cohomology and quantum cohomology of orbifolds (4)
      • 16:00 Orbifold cohomology and quantum cohomology of orbifolds (4) 1h0'
        Speaker: D. Abramovich (Boston University, U.S.A.)
  • Monday, 23 September 2002
    • 09:30 - 10:30 Birational geometry of degenerations and Serre's invariant
      • 09:30 Birational geometry of degenerations and Serre's invariant 1h0'
        Speaker: F. Loeser (École Normale Supérieure, Paris, France)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Mirror Symmetry for P^1 orbifolds
      • 11:00 Mirror Symmetry for P^1 orbifolds 1h0'
        Speaker: D. van Straten (Johannes-Gutenberg-Universität, Mainz, Germany)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Vanishing of cohomology classes on moduli spaces of curves
      • 14:30 Vanishing of cohomology classes on moduli spaces of curves 1h0'
        Speaker: R. Vakil (Stanford University, U.S.A.)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Auto-equivalences of the derived category of a K3 surface and monodromy of its Hilbert schemes
      • 16:00 Auto-equivalences of the derived category of a K3 surface and monodromy of its Hilbert schemes 1h0'
        Speaker: E. Markman (University of Massachusetts, Amherst, U.S.A.)
  • Tuesday, 24 September 2002
    • 09:30 - 10:30 Gromov-Witten theory of isolated curves in a Calabi-Yau 3-folds and Topological Quantum Field Theory
      • 09:30 Gromov-Witten theory of isolated curves in a Calabi-Yau 3-folds and Topological Quantum Field Theory 1h0'
        Speaker: J. Bryan (University of British Columbia, Vancouver, Canada)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 The cohomology rings of Hilbert schemes of points on surfaces
      • 11:00 The cohomology rings of Hilbert schemes of points on surfaces 1h0'
        Speaker: W. Wang (University of Virginia, Charlottesville, U.S.A.)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Stacks of cyclic coverings of projective spaces
      • 14:30 Stacks of cyclic coverings of projective spaces 1h0'
        Speaker: A. Vistoli (Università di Bologna, Italy)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Vanishing of top Chern class of moduli of bundles over curves
      • 16:00 Vanishing of top Chern class of moduli of bundles over curves 1h0'
        Speaker: J. Li (Stanford University, U.S.A.)
  • Wednesday, 25 September 2002
    • 09:30 - 10:30 Intersection theory on Morrison-Plesser moduli spaces and toric residues
      • 09:30 Intersection theory on Morrison-Plesser moduli spaces and toric residues 1h0'
        Speaker: V. Batyrev (Universität Tübingen, Germany)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Variations of Hodge structures for 1-dimensional families of Calabi-Yau 3-folds
      • 11:00 Variations of Hodge structures for 1-dimensional families of Calabi-Yau 3-folds 1h0'
        Speaker: J. Morgan (Columbia University, New York, U.S.A.)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Degree 2 deformations of the Hilbert scheme of 2 points on a K3
      • 14:30 Degree 2 deformations of the Hilbert scheme of 2 points on a K3 1h0'
        Speaker: K. O'Grady (Università di Roma "La Sapienza", Italy)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Tangency quantum cohomology
      • 16:00 Tangency quantum cohomology 1h0'
        Speaker: Joachim C. Kock (Université de Nice Sophia-Antipolis, France)
  • Thursday, 26 September 2002
    • 09:30 - 10:30 Derived Moduli Problems
      • 09:30 Derived Moduli Problems 1h0'
        Speaker: B. Toen (Université de Nice Sophia-Antipolis, France)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 Counting maximal subbundles via Gromov-Witten invariants
      • 11:00 Counting maximal subbundles via Gromov-Witten invariants 1h0'
        Speaker: Y.I. Holla (TIFR, Mumbai, India)
    • 12:00 - 14:30 Lunch break
      • 12:00 Lunch break 2h30'
    • 14:30 - 15:30 Multiplication in orbifold cohomology in the symplectic case
      • 14:30 Multiplication in orbifold cohomology in the symplectic case 1h0'
        Speaker: D. Kaledin (Independent University of Moscow, Russia)
    • 15:30 - 16:00 Break
      • 15:30 Break 30'
    • 16:00 - 17:00 Compactification of moduli space of principal bundles on projective varieties
      • 16:00 Compactification of moduli space of principal bundles on projective varieties 1h0'
        Speaker: T. Gomez de Quiroga (Universidad Complutense de Madrid, Spain)
  • Friday, 27 September 2002
    • 09:30 - 10:30 Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces
      • 09:30 Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces 1h0'
        Speaker: K. Yoshioka (Kobe University, Japan)
    • 10:30 - 11:00 Break
      • 10:30 Break 30'
    • 11:00 - 12:00 When is every coherent sheaf a quotient of a vector bundle? A positive result for orbifolds.
      • 11:00 When is every coherent sheaf a quotient of a vector bundle? A positive result for orbifolds. 1h0'
        Speaker: B. Totaro (University of Cambridge, U.K.)