SUMMER SCHOOL ON RESOLUTION OF SINGULARITIES (12 - 30 JUNE 2006)

[Resolution of Singularities]

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