## 2005 AMS Summer Institute on Algebraic Geometry## Afternoon program -- Second week |
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Other schedules: 1st morning, 1st afternoon, 2nd morning, 3rd morning, 3rd afternoon; Home page, Map

Titles of afternoon talks may be found below.

Location: | Sieg 134 | Miller 301 | Elec. Eng. 105 | Mech. Eng. 103 | |

Monday August 1 |
2-2:50 | J. Włodarczyk | L. Ein | R. Vakil | Y. Amitani |

3:10-4 | P. Eyssidieux | M. Mustata | A. Knutson | T. Szemberg | |

4:40-5:30 | A. Corti | K. Smith | A. Okounkov | A.-M. Castravet | |

Tuesday August 2 |
2-2:50 | G. Mikhalkin | C. Hacon | V. Alexeev | B. Purnaprajna |

3:10-4 | K. Karu | B. Totaro | J.-P. Demailly | A. Yong | |

4:40-5:30 | H. Derksen | K. O'Grady | Y. Kawamata | A. Libgober | |

Wednesday August 3 |
FREE | AFTER | NOON | ||

Thursday August 4 |
2-2:50 | M. Popa | S. Kovács | R. MacPherson | H. Abo |

3:10-4 | S. Mukai | S. Grushevsky | S. Billey | F. Vaccarino | |

4:40-5:30 | S. Ishii | M. Manetti | M. Reid | K. Hulek | |

Friday August 5 |
2-2:50 | T. Holm | S. Kaliman | Y.-T. Siu | P. Vermeire |

3:10-4 | L. Borisov | F. Bogomolov | D. Eisenbud | J. Zhang | |

4:40-5:30 | A. Buch | A. Langer | M. Kapranov | S. Di Rocco |

**
Special evening talk (CANCELLED):**
At 7:30 pm on Tuesday, August 2, Miles Reid will deliver a
special lecture entitled
K3s and Fano 3-folds, Tom and Jerry.
This lecture will be held in Elec. Eng. 105.

Abo: Construction of rational surfaces in projective fourspace

Alexeev: Log canonical pairs and compactified moduli spaces

Amitani: Projective manifolds with hyperplane sections being five-sheeted covers of P^n

Billey: Schubert varieties under a microscope

Bogomolov: Birational geometry -- small fields, finite groups

Borisov: Should we teach toric varieties to our students?

Buch: Quantum cohomology of homogeneous spaces

Castravet: Hilbert's 14th problem and Cox rings

Catanese: Quasi-étale deformations and other equivalence relations for algebraic surfaces and the action of the absolute Galois group on moduli spaces [cancelled]

Corti: Explicit 3-folds

Demailly: Recent results on hyperbolic algebraic varieties

Derksen: Quivers and combinatorics

Di Rocco: Toric varieties with dual defect and defect polytopes

Ein: Multiplier ideals

Eisenbud: Varieties, sets, and schemes -- "of minimal degree"

Eyssidieux: Infinite coverings of complex projective manifolds

Grushevsky: Geometry of A_g and its compactifications

Hacon: Extension theorems and their applications to birational geometry

Holm: Act globally, compute locally: group actions, fixed points, and localization

Hulek: Volumes of lattices, the Borcherds modular form and K3 surfaces

Ishii: Irreducible components of contact loci in arc spaces

Kaliman: Actions of C^* and C_+ on affine algebraic varieties

Kapranov: Infinite-dimensional spaces in algebraic geometry

Karu: Intersection cohomology and cd-index of fans

Kawamata: Derived categories and birational geometry

Knutson: Degenerations to (unions of) toric varieties, old and new

Kovács: Subvarieties of moduli stacks

Langer: Sheaves and principal G-bundles in positive characteristic

Libgober: Topology of the complements to divisors with isolated non normal crossings

MacPherson: Schubert varieties in the loop Grassmannian

Manetti: Lie cylinders and higher obstructions to deforming submanifolds

Mikhalkin: Enumerative geometry and reality

Mukai: Hilbert's original fourteenth problem and certain moduli spaces

Mustata: Spaces of arcs and singularities in birational geometry

O'Grady: Irreducible symplectic 4-folds which look like Hilb^2(K3)

Okounkov: Symmetric functions in Gromov-Witten theory

Popa: M-regularity and the Fourier-Mukai transform

Purnaprajna: Geometry of varieties of general type

Reid #1 (Tuesday):
K3s and Fano 3-folds, Tom and Jerry

Reid #2 (Thursday):
Diptych varieties and Mori flips

Siu: Multiplier ideal sheaves and pluricanonical linear series

Smith: Survey of tight closure and positivity in algebraic geometry

Szemberg: Conjectures of Nagata and Hirschowitz and the Zariski decomposition

Totaro: Equivariant Chow groups: applications to quadratic forms and algebraic groups

Vaccarino: Symmetric products and invariants of matrices

Vakil: Geometric positivity in the Schubert calculus

Vermeire: The moduli of rank 2 reflexive sheaves on smooth 3-folds

Włodarczyk: Factorization of birational maps

Yong: On smoothness and Gorensteinness of Schubert varieties

Zhang: On the D-dimension of certain types of threefolds

Other schedules: 1st morning, 1st afternoon, 2nd morning, 3rd morning, 3rd afternoon; Home page, Map