SUMMER SCHOOL ON RESOLUTION OF SINGULARITIES (12 - 30 JUNE 2006)
Resolution of Singularities
smr1757 at ictp.it
Thu Jun 8 17:29:13 CEST 2006
the Abdus Salam International Centre for Theoretical Physics
"Summer School on Resolution of Singularities"
Organizers: Directors: D. Cutkosky, J. Kollar, B. Teissier
Le Dung Trang (ICTP Local Organizer)
12 - 30 June 2006
Preliminary programme
(PLEASE NOTE, THE PROGRAMME OF THE LAST WEEK WILL BE ANNOUNCED AT A
LATER STAGE)
(VENUE: Main Building Lecture Hall)
Monday, 12 June 2006
08:30 - 10:30 REGISTRATION
12:00 - 13:45 --- Lunch Break ---
13:45 - 14:00 Le Dung Trang ICTP, Trieste, Italy
OPENING
14:00 - 15:00 Le Dung Trang ICTP, Trieste, Italy
Introduction to singularity theory I
15:00 - 15:15 --- Break ---
15:15 - 16:15 J. Herzog University of Duisburg, Essen, Germany
Basics of commutative algebra I
Tuesday, 13 June 2006
08:45 - 09:45 Le Dung Trang ICTP, Trieste, Italy
Introduction to singularity theory II
09:45 - 10:00 --- Break ---
10:00 - 11:00 T. Roemer Osnabruck University, Osnabruck, Germany
Basics of commutative algebra II
11:00 - 11:15 --- Break ---
11:15 - 12:15 S.D. Cutkosky University of Missouri, Columbia, U.S.A.
Basics of algebraic geometry I
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 B. Teissier Institut de Mathematiques de Jussieu, Paris,
France
Introduction to valuation theory I
15:00 - 15:15 --- Break ---
15:15 - 16:15 P. Popescu-Pampu Université Paris VII, Paris, France
Resolution of curves and surfaces I
Wednesday, 14 June 2006
08:45 - 09:45 T. Roemer Osnabruck University, Osnabruck, Germany
Basics of commutative algebra III
09:45 - 10:00 --- Break ---
10:00 - 11:00 S.D. Cutkosky University of Missouri, Columbia, U.S.A.
Basics of algebraic geometry II
11:00 - 11:15 --- Break ---
11:15 - 12:15 B. Teissier Institut de Mathematiques de Jussieu, Paris,
France
Introduction to valuation theory II
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 P. Popescu-Pampu Université Paris VII, Paris, France
Resolution of curves and surfaces II
15:00 - 15:15 --- Break ---
15:15 - 16:15 C. Contou-Carrere Université Montpellier II,
Montpellier, France
Buildings and Desingularization of Schubert varieties I
16:15 - 16:30 --- Break ---
16:30 - 17:30 M. Vaquié Université Paul Sabatier, Toulouse, France
Augmented valuations and key polynomials
Thursday, 15 June 2006
08:45 - 09:45 P. Popescu-Pampu Université Paris VII, Paris, France
Resolution of curves and surfaces III
09:45 - 10:00 --- Break ---
10:00 - 11:00 C. Contou-Carrere Université Montpellier II,
Montpellier, France
Buildings and Desingularization of Schubert varieties II
11:00 - 11:15 --- Break ---
11:15 - 12:15 M. Vaquié Université Paul Sabatier, Toulouse, France
Admissible families of valuations
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 J. Herzog University of Duisburg, Essen, Germany
Topic in Commutative Algebra
15:00 - 15:15 --- Break ---
15:15 - 16:15 S.D. Cutkosky University of Missouri, Columbia, U.S.A.
Basics of algebraic geometry III
16:15 - 16:30 --- Break ---
16:30 - 17:30 F-V. Kuhlmann University of Saskatchewan, Saskatoon,
Canada
Around Hensel's lemma
Friday, 16 June 2006
08:45 - 09:45 C. Contou-Carrere Université Montpellier II,
Montpellier, France
Buildings and Desingularization of Schubert varieties III
09:45 - 10:00 --- Break ---
10:00 - 11:00 M. Vaquié Université Paul Sabatier, Toulouse, France
Newton polygon
11:00 - 11:15 --- Break ---
11:15 - 11:15 T. Roemer Osnabruck University, Osnabruck, Germany
Topics in commutative algebra
11:15 - 13:00 --- Lunch Break ---
13:00 - 14:00 F-V. Kuhlmann University of Saskatchewan, Saskatoon,
Canada
Elementary ramification theory of valuations
14:00 - 14:15 --- Break ---
14:15 - 15:15 M. Vaquié Université Paul Sabatier, Toulouse, France
Graded algebras and defect
Monday, 19 June 2006
08:45 - 09:45 A. Corti Imperial College, London, U.K.
Minimal models and classification of surfaces I
09:45 - 10:00 --- Break ---
10:00 - 11:00 M. Reid University of Warwick, Coventry, U.K.
Surfaces, 3-folds, graded rings and orbifold Riemann-Roch I
11:00 - 11:15 --- Break ---
11:15 - 12:15 M. Reid University of Warwick, Coventry, U.K.
Surfaces, 3-folds, graded rings and orbifold Riemann-Roch II
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 F-V. Kuhlmann University of Saskatchewan, Saskatoon,
Canada
Around Abhyankar's inequality
15:00 - 15:15 --- Break ---
15:15 - 16:15 M. Reid University of Warwick, Coventry, U.K.
Surfaces, 3-folds, graded rings and orbifold Riemann-Roch III
16:15 - 16:30 --- Break ---
16:30 - 17:30 B. Teissier Institut de Mathematiques de Jussieu, Paris,
France
Local uniformization in characteristic p, I
Tuesday, 20 June 2006
08:45 - 09:45 M. Reid University of Warwick, Coventry, U.K.
Surfaces, 3-folds, graded rings and orbifold Riemann-Roch IV
09:45 - 10:00 --- Break ---
10:00 - 11:00 A. Fruehbis-Krueger Kaiserslautern University,
Kaiserslautern, Germany
Effective resolution of singularities I
11:00 - 11:15 --- Break ---
11:15 - 12:15 B. Teissier Institut de Mathematiques de Jussieu, Paris,
France
Local uniformization in characteristic p, II
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 F-V. Kuhlmann University of Saskatchewan, Saskatoon,
Canada
Extensions of valuations and pseudo-cauchy sequences
15:00 - 15:15 --- Break ---
15:15 - 16:15 H. Hauser Leopold-Franzens-University, Innsbruck, Austria
Resolution of singularities I
16:15 - 16:30 --- Break ---
16:30 - 17:30 A. Corti Imperial College, London, U.K.
Minimal models and classification of surfaces II
Wednesday, 21 June 2006
08:45 - 09:45 L. Ein University of Illinois, Chicago, U.S.A.
Applications of resolution I
09:45 - 10:00 --- Break ---
10:00 - 11:00 A. Corti Imperial College, London, U.K.
Minimal models and classification of higher dimensional varieties I
11:00 - 11:15 --- Break ---
11:15 - 12:15 H. Hauser Leopold-Franzens-University, Innsbruck, Austria
Resolution of singularities II
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 A. Fruehbis-Krueger Kaiserslautern University,
Kaiserslautern, Germany
Effective resolution of singularities II
15:00 - 15:15 --- Break ---
15:15 - 16:15 H. Hauser Leopold-Franzens-University, Innsbruck, Austria
Resolution of singularities III
Thursday, 22 June 2006
08:45 - 09:45 A. Campillo Universidad de Valladolid, Valladolid, Spain
Equisingularity in positive characteristic I
09:45 - 10:00 --- Break ---
10:00 - 11:00 H. Hauser Leopold-Franzens-University, Innsbruck, Austria
Resolution of singularities IV
11:00 - 11:15 --- Break ---
11:15 - 12:15 M. Lejeune-Jalabert Université de
Versailles-St.Quentin-en-Yvelines, Versailles, France
Rational and canonical singularities I
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 L. Ein University of Illinois, Chicago, U.S.A.
Applications of resolution II
15:00 - 15:15 --- Break ---
15:15 - 16:15 A. Corti Imperial College, London, U.K.
Minimal models and classification of higher dimensional varieties II
Friday, 23 June 2006
08:45 - 09:45 M. Lejeune-Jalabert Université de Versailles-St.
Quentin-en-Yvelines, Versailles, France
Rational and canonical singularities II
09:45 - 10:00 --- Break ---
10:00 - 11:00 A. Campillo Universidad de Valladolid, Valladolid, Spain
Equisingularity in positive characteristic II
11:00 - 11:15 --- Break ---
11:15 - 12:15 A. Fruehbis-Krueger Kaiserslautern University,
Kaiserslautern, Germany
Effective resolution of singularities III
12:15 - 14:00 --- Lunch Break ---
14:00 - 15:00 H. Hauser Leopold-Franzens-University, Innsbruck, Austria
Resolution of singularities V
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