SCHOOL AND CONFERENCE ON INTERSECTION THEORY AND MODULI | (smr 1426)
Go to day
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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'
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08:30
Registration
1h30'
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14:15 - 14:30
Opening
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14:15
Opening
15'
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14:15
Opening
15'
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14:30 - 15:30
Introduction to algebraic stacks (1)
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14:30
Introduction to algebraic stacks (1)
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy) Material: lecture notes
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14:30
Introduction to algebraic stacks (1)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Introduction to Gromov-Witten invariants (1)
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16:00
Introduction to Gromov-Witten invariants (1)
1h0'
Speaker: A. Bertram (University of Utah, U.S.A.) Material: lecture notes
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16:00
Introduction to Gromov-Witten invariants (1)
1h0'
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08:30 - 10:00
Registration
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09:30 - 10:30
Complex symplectic moduli spaces (1)
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09:30
Complex symplectic moduli spaces (1)
1h0'
Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany) Material: lecture notes
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09:30
Complex symplectic moduli spaces (1)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Vertex algebras and algebraic curves (1)
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11:00
Vertex algebras and algebraic curves (1)
1h0'
Speaker: E. Frenkel (University of California at Berkeley, U.S.A.) Material: lecture notes
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11:00
Vertex algebras and algebraic curves (1)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Introduction to Gromov-Witten invariants (2)
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14:30
Introduction to Gromov-Witten invariants (2)
1h0'
Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
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14:30
Introduction to Gromov-Witten invariants (2)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Introduction to algebraic stacks (2)
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16:00
Introduction to algebraic stacks (2)
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy)
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16:00
Introduction to algebraic stacks (2)
1h0'
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09:30 - 10:30
Complex symplectic moduli spaces (1)
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09:30 - 10:30
Complex symplectic moduli spaces (2)
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09:30
Complex symplectic moduli spaces (2)
1h0'
Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany)
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09:30
Complex symplectic moduli spaces (2)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Vertex algebras and algebraic curves (2)
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11:00
Vertex algebras and algebraic curves (2)
1h0'
Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
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11:00
Vertex algebras and algebraic curves (2)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Introduction to algebraic stacks (3)
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14:30
Introduction to algebraic stacks (3)
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy)
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14:30
Introduction to algebraic stacks (3)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Introduction to Gromov-Witten invariants (3)
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16:00
Introduction to Gromov-Witten invariants (3)
1h0'
Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
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16:00
Introduction to Gromov-Witten invariants (3)
1h0'
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09:30 - 10:30
Complex symplectic moduli spaces (2)
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09:30 - 10:30
Complex symplectic moduli spaces (3)
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09:30
Complex symplectic moduli spaces (3)
1h0'
Speaker: M. Lehn (Johannes-Gutenberg-Universität Mainz, Germany)
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09:30
Complex symplectic moduli spaces (3)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Vertex algebras and algebraic curves (3)
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11:00
Vertex algebras and algebraic curves (3)
1h0'
Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
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11:00
Vertex algebras and algebraic curves (3)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Introduction to Gromov-Witten invariants (4)
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14:30
Introduction to Gromov-Witten invariants (4)
1h0'
Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
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14:30
Introduction to Gromov-Witten invariants (4)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Introduction to algebraic stacks (4)
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16:00
Introduction to algebraic stacks (4)
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy)
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16:00
Introduction to algebraic stacks (4)
1h0'
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09:30 - 10:30
Complex symplectic moduli spaces (3)
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09:30 - 10:30
Complex symplectic moduli spaces (4)
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09:30
Complex symplectic moduli spaces (4)
1h0'
Speaker: M. Lehn (Johannes-Gutenberg-Universität, Mainz, Germany)
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09:30
Complex symplectic moduli spaces (4)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Vertex algebras and algebraic curves (4)
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11:00
Vertex algebras and algebraic curves (4)
1h0'
Speaker: E. Frenkel (University of California at Berkeley, U.S.A.)
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11:00
Vertex algebras and algebraic curves (4)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Introduction to algebraic stacks (5)
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14:30
Introduction to algebraic stacks (5)
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy)
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14:30
Introduction to algebraic stacks (5)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Introduction to Gromov-Witten invariants (5)
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16:00
Introduction to Gromov-Witten invariants (5)
1h0'
Speaker: A. Bertram (University of Utah, Salt Lake City, U.S.A.)
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16:00
Introduction to Gromov-Witten invariants (5)
1h0'
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09:30 - 10:30
Complex symplectic moduli spaces (4)
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09:30 - 10:30
Moduli Spaces of Hyperkähler Manifolds (1)
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09:30
Moduli Spaces of Hyperkähler Manifolds (1)
1h0'
Speaker: D. Huybrechts (Universität zu Köln, Germany) Material: lecture notes
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09:30
Moduli Spaces of Hyperkähler Manifolds (1)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (1)
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11:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (1)
1h0'
Speaker: J. Li (Stanford University, U.S.A.) Material: lecture notes
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11:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (1)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Cohomology and Intersection theory of Algebraic stacks (1)
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14:30
Cohomology and Intersection theory of Algebraic stacks (1)
1h0'
Speaker: K. Behrend (University of British Columbia, Vancouver, Canada) Material: lecture notes
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14:30
Cohomology and Intersection theory of Algebraic stacks (1)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Cohomology and Intersection theory of Algebraic stacks (2)
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16:00
Cohomology and Intersection theory of Algebraic stacks (2)
1h0'
Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
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16:00
Cohomology and Intersection theory of Algebraic stacks (2)
1h0'
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09:30 - 10:30
Moduli Spaces of Hyperkähler Manifolds (1)
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09:30 - 10:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (2)
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09:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (2)
1h0'
Speaker: J. Li (Stanford University, U.S.A.)
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09:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (2)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Moduli Spaces of Hyperkähler Manifolds (2)
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11:00
Moduli Spaces of Hyperkähler Manifolds (2)
1h0'
Speaker: D. Huybrechts (Universität zu Köln, Germany)
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11:00
Moduli Spaces of Hyperkähler Manifolds (2)
1h0'
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12:00 - 14:00
Lunch break
- 12:00 Lunch break 2h0'
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14:00 - 15:00
Cohomology and Intersection theory of Algebraic stacks (3)
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14:00
Cohomology and Intersection theory of Algebraic stacks (3)
1h0'
Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
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14:00
Cohomology and Intersection theory of Algebraic stacks (3)
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Orbifold cohomology and quantum cohomology of orbifolds (1)
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15:15
Orbifold cohomology and quantum cohomology of orbifolds (1)
1h0'
Speaker: D. Abramovich (Boston University, U.S.A.) Material: lecture notes
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15:15
Orbifold cohomology and quantum cohomology of orbifolds (1)
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:30
Motivic Integration and McKay Correspondence (1)
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16:30
Motivic Integration and McKay Correspondence (1)
1h0'
Speaker: F. Loeser (École Normale Supérieure, Paris, France)
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16:30
Motivic Integration and McKay Correspondence (1)
1h0'
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09:30 - 10:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (2)
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09:30 - 10:30
Moduli Spaces of Hyperkähler Manifolds (3)
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09:30
Moduli Spaces of Hyperkähler Manifolds (3)
1h0'
Speaker: D. Huybrechts (Universität zu Köln, Germany)
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09:30
Moduli Spaces of Hyperkähler Manifolds (3)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Motivic Integration and McKay Correspondence (2)
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11:00
Motivic Integration and McKay Correspondence (2)
1h0'
Speaker: F. Loeser (École Normale Supérieure, Paris, France)
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11:00
Motivic Integration and McKay Correspondence (2)
1h0'
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12:00 - 14:00
Lunch break
- 12:00 Lunch break 2h0'
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14:00 - 15:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (3)
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14:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (3)
1h0'
Speaker: J. Li (Stanford University, U.S.A.)
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14:00
Relative stable morphisms and degeneration of Gromov-Witten invariants (3)
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 16:15
Cohomology and Intersection theory of Algebraic stacks (4)
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15:15
Cohomology and Intersection theory of Algebraic stacks (4)
1h0'
Speaker: K. Behrend (University of British Columbia)
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15:15
Cohomology and Intersection theory of Algebraic stacks (4)
1h0'
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16:15 - 16:30
Break
- 16:15 Break 15'
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16:30 - 17:30
Orbifold cohomology and quantum cohomology of orbifolds (2)
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16:30
Orbifold cohomology and quantum cohomology of orbifolds (2)
1h0'
Speaker: D. Abramovich (Boston University, U.S.A.)
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16:30
Orbifold cohomology and quantum cohomology of orbifolds (2)
1h0'
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09:30 - 10:30
Moduli Spaces of Hyperkähler Manifolds (3)
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09:30 - 10:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (4)
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09:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (4)
1h0'
Speaker: J. Li (Stanford University, U.S.A.)
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09:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (4)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Motivic Integration and McKay Correspondence (3)
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11:00
Motivic Integration and McKay Correspondence (3)
1h0'
Speaker: F. Loeser (École Normale Supérieure, Paris, France)
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11:00
Motivic Integration and McKay Correspondence (3)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Orbifold cohomology and quantum cohomology of orbifolds (3)
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14:30
Orbifold cohomology and quantum cohomology of orbifolds (3)
1h0'
Speaker: D. Abramovich (Boston University, U.S.A.)
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14:30
Orbifold cohomology and quantum cohomology of orbifolds (3)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Motivic Integration and McKay Correspondence (4)
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16:00
Motivic Integration and McKay Correspondence (4)
1h0'
Speaker: F. Loeser (École Normale Supérieure, Paris, France)
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16:00
Motivic Integration and McKay Correspondence (4)
1h0'
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09:30 - 10:30
Relative stable morphisms and degeneration of Gromov-Witten invariants (4)
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-
09:30 - 10:30
Motivic Integration and McKay Correspondence (5)
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09:30
Motivic Integration and McKay Correspondence (5)
1h0'
Speaker: F. Loser (École Normale Supérieure, Paris, France)
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09:30
Motivic Integration and McKay Correspondence (5)
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Moduli Spaces of Hyperkähler Manifolds (4)
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11:00
Moduli Spaces of Hyperkähler Manifolds (4)
1h0'
Speaker: D. Huybrechts (Universität zu Köln, Germany)
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11:00
Moduli Spaces of Hyperkähler Manifolds (4)
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Cohomology and Intersection theory of Algebraic stacks (5)
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14:30
Cohomology and Intersection theory of Algebraic stacks (5)
1h0'
Speaker: K. Behrend (University of British Columbia, Vancouver, Canada)
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14:30
Cohomology and Intersection theory of Algebraic stacks (5)
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Orbifold cohomology and quantum cohomology of orbifolds (4)
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16:00
Orbifold cohomology and quantum cohomology of orbifolds (4)
1h0'
Speaker: D. Abramovich (Boston University, U.S.A.)
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16:00
Orbifold cohomology and quantum cohomology of orbifolds (4)
1h0'
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09:30 - 10:30
Motivic Integration and McKay Correspondence (5)
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09:30 - 10:30
Birational geometry of degenerations and Serre's invariant
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09:30
Birational geometry of degenerations and Serre's invariant
1h0'
Speaker: F. Loeser (École Normale Supérieure, Paris, France)
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09:30
Birational geometry of degenerations and Serre's invariant
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Mirror Symmetry for P^1 orbifolds
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11:00
Mirror Symmetry for P^1 orbifolds
1h0'
Speaker: D. van Straten (Johannes-Gutenberg-Universität, Mainz, Germany)
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11:00
Mirror Symmetry for P^1 orbifolds
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Vanishing of cohomology classes on moduli spaces of curves
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14:30
Vanishing of cohomology classes on moduli spaces of curves
1h0'
Speaker: R. Vakil (Stanford University, U.S.A.)
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14:30
Vanishing of cohomology classes on moduli spaces of curves
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Auto-equivalences of the derived category of a K3 surface and monodromy of its Hilbert schemes
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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.)
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16:00
Auto-equivalences of the derived category of a K3 surface and monodromy of its Hilbert schemes
1h0'
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09:30 - 10:30
Birational geometry of degenerations and Serre's invariant
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09:30 - 10:30
Gromov-Witten theory of isolated curves in a Calabi-Yau 3-folds and Topological Quantum Field Theory
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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)
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09:30
Gromov-Witten theory of isolated curves in a Calabi-Yau 3-folds and Topological Quantum Field Theory
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
The cohomology rings of Hilbert schemes of points on surfaces
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11:00
The cohomology rings of Hilbert schemes of points on surfaces
1h0'
Speaker: W. Wang (University of Virginia, Charlottesville, U.S.A.)
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11:00
The cohomology rings of Hilbert schemes of points on surfaces
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Stacks of cyclic coverings of projective spaces
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14:30
Stacks of cyclic coverings of projective spaces
1h0'
Speaker: A. Vistoli (Università di Bologna, Italy)
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14:30
Stacks of cyclic coverings of projective spaces
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Vanishing of top Chern class of moduli of bundles over curves
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16:00
Vanishing of top Chern class of moduli of bundles over curves
1h0'
Speaker: J. Li (Stanford University, U.S.A.)
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16:00
Vanishing of top Chern class of moduli of bundles over curves
1h0'
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09:30 - 10:30
Gromov-Witten theory of isolated curves in a Calabi-Yau 3-folds and Topological Quantum Field Theory
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09:30 - 10:30
Intersection theory on Morrison-Plesser moduli spaces and toric residues
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09:30
Intersection theory on Morrison-Plesser moduli spaces and toric residues
1h0'
Speaker: V. Batyrev (Universität Tübingen, Germany)
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09:30
Intersection theory on Morrison-Plesser moduli spaces and toric residues
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Variations of Hodge structures for 1-dimensional families of Calabi-Yau 3-folds
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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.)
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11:00
Variations of Hodge structures for 1-dimensional families of Calabi-Yau 3-folds
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Degree 2 deformations of the Hilbert scheme of 2 points on a K3
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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)
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14:30
Degree 2 deformations of the Hilbert scheme of 2 points on a K3
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Tangency quantum cohomology
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16:00
Tangency quantum cohomology
1h0'
Speaker: Joachim C. Kock (Université de Nice Sophia-Antipolis, France)
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16:00
Tangency quantum cohomology
1h0'
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09:30 - 10:30
Intersection theory on Morrison-Plesser moduli spaces and toric residues
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09:30 - 10:30
Derived Moduli Problems
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09:30
Derived Moduli Problems
1h0'
Speaker: B. Toen (Université de Nice Sophia-Antipolis, France)
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09:30
Derived Moduli Problems
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
Counting maximal subbundles via Gromov-Witten invariants
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11:00
Counting maximal subbundles via Gromov-Witten invariants
1h0'
Speaker: Y.I. Holla (TIFR, Mumbai, India)
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11:00
Counting maximal subbundles via Gromov-Witten invariants
1h0'
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12:00 - 14:30
Lunch break
- 12:00 Lunch break 2h30'
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14:30 - 15:30
Multiplication in orbifold cohomology in the symplectic case
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14:30
Multiplication in orbifold cohomology in the symplectic case
1h0'
Speaker: D. Kaledin (Independent University of Moscow, Russia)
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14:30
Multiplication in orbifold cohomology in the symplectic case
1h0'
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15:30 - 16:00
Break
- 15:30 Break 30'
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16:00 - 17:00
Compactification of moduli space of principal bundles on projective varieties
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16:00
Compactification of moduli space of principal bundles on projective varieties
1h0'
Speaker: T. Gomez de Quiroga (Universidad Complutense de Madrid, Spain)
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16:00
Compactification of moduli space of principal bundles on projective varieties
1h0'
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09:30 - 10:30
Derived Moduli Problems
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09:30 - 10:30
Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces
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09:30
Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces
1h0'
Speaker: K. Yoshioka (Kobe University, Japan)
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09:30
Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces
1h0'
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10:30 - 11:00
Break
- 10:30 Break 30'
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11:00 - 12:00
When is every coherent sheaf a quotient of a vector bundle? A positive result for orbifolds.
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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.)
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11:00
When is every coherent sheaf a quotient of a vector bundle? A positive result for orbifolds.
1h0'
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09:30 - 10:30
Singularities of two-dimensional moduli spaces of sheaves on K3 surfaces