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Summer School on Resolution of Singularities | (smr 1757)
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  • Monday, 12 June 2006
    • 08:30 - 12:00 REGISTRATION: Main entrance Lobby - ADMINISTRATIVE FORMALITIES: Operations Office and Visa Office (Enrico Fermi Building)
      Location: Main Building Lobby
      • 08:30 REGISTRATION: Main entrance Lobby - ADMINISTRATIVE FORMALITIES: Operations Office and Visa Office (Enrico Fermi Building) 3h30'
    • 12:00 - 13:45 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:00 Lunch Break 1h45'
    • 13:45 - 14:00 OPENING
      Location: Main Building Main Lecture Hall
      • 13:45 OPENING 15'
        Speaker: Le Dung Trang (ICTP, Trieste, Italy)
    • 14:00 - 15:00 Introduction to singularity theory I
      Location: Main Building Main Lecture Hall
      • 14:00 Introduction to singularity theory I 1h0'
        Speaker: Le Dung Trang (ICTP, Trieste, Italy)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Basics of commutative algebra I
      Location: Main Building Main Lecture Hall
      • 15:15 Basics of commutative algebra I 1h0'
        Speaker: J. Herzog (University of Duisburg, Essen, Germany)
  • Tuesday, 13 June 2006
    • 08:45 - 09:45 Introduction to singularity theory II
      Location: Main Building Main Lecture Hall
      • 08:45 Introduction to singularity theory II 1h0'
        Speaker: Le Dung Trang (ICTP, Trieste, Italy)
        Material: lecture notes
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Basics of commutative algebra II
      Location: Main Building Main Lecture Hall
      • 10:00 Basics of commutative algebra II 1h0'
        Speaker: T. Roemer (Osnabruck University, Osnabruck, Germany)
    • 11:00 - 12:45 Lunch Break
      Location: Main Building Main Lecture Hall
      • 11:00 Lunch Break 1h45'
    • 12:45 - 13:45 Basics of algebraic geometry I
      Location: Main Building Main Lecture Hall
      • 12:45 Basics of algebraic geometry I 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
    • 13:45 - 14:00 Break
      Location: Main Building Main Lecture Hall
      • 13:45 Break 15'
    • 14:00 - 15:00 Introduction to valuation theory I
      Location: Main Building Main Lecture Hall
      • 14:00 Introduction to valuation theory I 1h0'
        Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Resolution of curves and surfaces I
      Location: Main Building Main Lecture Hall
      • 15:15 Resolution of curves and surfaces I 1h0'
        Speaker: P. Pospescu-Pampu (Université Paris VII, Paris, France)
        Material: lecture notes
  • Wednesday, 14 June 2006
    • 08:45 - 09:45 Basics of commutative algebra III
      Location: Main Building Main Lecture Hall
      • 08:45 Basics of commutative algebra III 1h0'
        Speaker: T. Roemer (Osnabruck University, Osnabruck, Germany)
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Basics of algebraic geometry II
      Location: Main Building Main Lecture Hall
      • 10:00 Basics of algebraic geometry II 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Introduction to valuation theory II
      Location: Main Building Main Lecture Hall
      • 11:15 Introduction to valuation theory II 1h0'
        Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Resolution of curves and surfaces II
      Location: Main Building Main Lecture Hall
      • 14:00 Resolution of curves and surfaces II 1h0'
        Speaker: P. Pospescu-Pampu (Université Paris VII, Paris, France)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Buildings and Desingularization of Schubert varieties I
      Location: Main Building Main Lecture Hall
      • 15:15 Buildings and Desingularization of Schubert varieties I 1h0'
        Speaker: C. Contou-Carrere (Université Montpellier II, Montpellier, France)
        Material: lecture notes
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Augmented valuations and key polynomials
      Location: Main Building Main Lecture Hall
      • 16:30 Augmented valuations and key polynomials 1h0'
        Speaker: M. Vaquié (Université Paul Sabatier, Toulouse, France)
  • Thursday, 15 June 2006
    • 08:45 - 09:45 Resolution of curves and surfaces III
      Location: Main Building Main Lecture Hall
      • 08:45 Resolution of curves and surfaces III 1h0'
        Speaker: P. Pospescu-Pampu (Université Paris VII, Paris, France)
        Material: lecture notes
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Buildings and Desingularization of Schubert varieties II
      Location: Main Building Main Lecture Hall
      • 10:00 Buildings and Desingularization of Schubert varieties II 1h0'
        Speaker: C. Contou-Carrere (Université Montpellier II, Montpellier, France)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Admissible families of valuations
      Location: Main Building Main Lecture Hall
      • 11:15 Admissible families of valuations 1h0'
        Speaker: M. Vaquié (Université Paul Sabatier, Toulouse, France)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Topic in commutative algbra
      Location: Main Building Main Lecture Hall
      • 14:00 Topic in commutative algbra 1h0'
        Speaker: J. Herzog (University of Duisburg, Essen, Germany)
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Basics of algebraic geometry III
      Location: Main Building Main Lecture Hall
      • 15:15 Basics of algebraic geometry III 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Around Hensel's lemma
      Location: Main Building Main Lecture Hall
      • 16:30 Around Hensel's lemma 1h0'
        Speaker: F-V. Kuhlmann (University of Saskatchewan, Saskatoon, Canada)
        Material: lecture notes
  • Friday, 16 June 2006
    • 08:45 - 09:45 Buildings and Desingularization of Schubert varieties III
      Location: Main Building Main Lecture Hall
      • 08:45 Buildings and Desingularization of Schubert varieties III 1h0'
        Speaker: C. Contou-Carrere (Université Montpellier II, Montpellier, France)
        Material: lecture notes
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Newton polygon
      Location: Main Building Main Lecture Hall
      • 10:00 Newton polygon 1h0'
        Speaker: M. Vaquié (Université Paul Sabatier, Toulouse, France)
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 11:15 Topics in commutative algbra
      Location: Main Building Main Lecture Hall
      • 11:15 Topics in commutative algbra
        Speaker: T. Roemer (Osnabruck University, Osnabruck, Germany)
    • 11:15 - 13:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 11:15 Lunch Break 1h45'
    • 13:00 - 14:00 Elementary ramification theory of valuations
      Location: Main Building Main Lecture Hall
      • 13:00 Elementary ramification theory of valuations 1h0'
        Speaker: F-V. Kuhlmann (University of Saskatchewan, Saskatoon, Canada)
        Material: lecture notes
    • 14:00 - 14:15 Break
      Location: Main Building Main Lecture Hall
      • 14:00 Break 15'
    • 14:15 - 15:15 Graded algebras and defect
      Location: Main Building Main Lecture Hall
      • 14:15 Graded algebras and defect 1h0'
        Speaker: M. Vaquié (Université Paul Sabatier, Toulouse, France)
  • Monday, 19 June 2006
    • 08:45 - 09:45 Minimal models and classification of surfaces I
      Location: Main Building Main Lecture Hall
      • 08:45 Minimal models and classification of surfaces I 1h0'
        Speaker: A. Corti (Imperial College, London, U.K.)
        Material: book
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch I
      Location: Main Building Main Lecture Hall
      • 10:00 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch I 1h0'
        Speaker: M. Reid (University of Warwick, Coventry, U.K.)
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch II
      Location: Main Building Main Lecture Hall
      • 11:15 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch II 1h0'
        Speaker: M. Reid (University of Warwick, Coventry, U.K.)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Around Abhyankar\'s inequality
      Location: Main Building Main Lecture Hall
      • 14:00 Around Abhyankar\'s inequality 1h0'
        Speaker: F-V. Kuhlmann (University of Saskatchewan, Saskatoon, Canada)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch III
      Location: Main Building Main Lecture Hall
      • 15:15 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch III 1h0'
        Speaker: M. Reid (University of Warwick, Coventry, U.K.)
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Local uniformization in characteristic p, I
      Location: Main Building Main Lecture Hall
      • 16:30 Local uniformization in characteristic p, I 1h0'
        Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
  • Tuesday, 20 June 2006
    • 08:45 - 09:45 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch IV
      Location: Main Building Main Lecture Hall
      • 08:45 Surfaces, 3-folds, graded rings and orbifold Riemann-Roch IV 1h0'
        Speaker: M. Reid (University of Warwick, Coventry, U.K.)
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Effective resolution of singularities I
      Location: Main Building Main Lecture Hall
      • 10:00 Effective resolution of singularities I 1h0'
        Speaker: A. Fruehbis-Krueger (Kaiserslautern University, Kaiserslautern, Germany)
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Local uniformization in characteristic p, II
      Location: Main Building Main Lecture Hall
      • 11:15 Local uniformization in characteristic p, II 1h0'
        Speaker: B. Teissier (Institut de Mathematiques de Jussieu, Paris, France)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Extensions of valuations and pseudo-cauchy sequences
      Location: Main Building Main Lecture Hall
      • 14:00 Extensions of valuations and pseudo-cauchy sequences 1h0'
        Speaker: F-V. Kuhlmann (University of Saskatchewan, Saskatoon, Canada)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Resolution of singularities I
      Location: Main Building Main Lecture Hall
      • 15:15 Resolution of singularities I 1h0'
        Speaker: H. Hauser (Institut fuer Mathematik, Universitaet Innsbruck, Innsbruck, Austria)
        Material: lecture notes
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Minimal models and classification of surfaces II
      Location: Main Building Main Lecture Hall
      • 16:30 Minimal models and classification of surfaces II 1h0'
        Speaker: A. Corti (Imperial College, London, U.K.)
        Material: book
  • Wednesday, 21 June 2006
    • 08:45 - 09:45 Applications of resolution I
      Location: Main Building Main Lecture Hall
      • 08:45 Applications of resolution I 1h0'
        Speaker: L. Ein (University of Illinois, Chicago, U.S.A.)
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Minimal models and classification of higher dimensional varieties I
      Location: Main Building Main Lecture Hall
      • 10:00 Minimal models and classification of higher dimensional varieties I 1h0'
        Speaker: A. Corti (Imperial College, London, U.K.)
        Material: book
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Resolution of singularities II
      Location: Main Building Main Lecture Hall
      • 11:15 Resolution of singularities II 1h0'
        Speaker: H. Hauser (Institut fuer Mathematik, Universitaet Innsbruck, Innsbruck, Austria)
        Material: lecture notes
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Effective resolution of singularities II
      Location: Main Building Main Lecture Hall
      • 14:00 Effective resolution of singularities II 1h0'
        Speaker: A. Fruehbis-Krueger (Kaiserslautern University, Kaiserslautern, Germany)
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Resolution of singularities III
      Location: Main Building Main Lecture Hall
      • 15:15 Resolution of singularities III 1h0'
        Speaker: H. Hauser (Institut fuer Mathematik, Universitaet Innsbruck, Innsbruck, Austria)
        Material: lecture notes
  • Thursday, 22 June 2006
    • 08:45 - 09:45 Equisingularity in positive characteristic I
      Location: Main Building Main Lecture Hall
      • 08:45 Equisingularity in positive characteristic I 1h0'
        Speaker: A. Campillo (Universidad de Valladolid, Valladolid, Spain)
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Resolution of singularities IV
      Location: Main Building Main Lecture Hall
      • 10:00 Resolution of singularities IV 1h0'
        Speaker: H. Hauser (Institut fuer Mathematik, Universitaet Innsbruck, Innsbruck, Austria)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Rational and canonical singularities I
      Location: Main Building Main Lecture Hall
      • 11:15 Rational and canonical singularities I 1h0'
        Speaker: M. Lejeune-Jalabert (Université de Versailles-St. Quentin-en-Yvelines, Versailles, France)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Applications of resolution II
      Location: Main Building Main Lecture Hall
      • 14:00 Applications of resolution II 1h0'
        Speaker: L. Ein (University of Illinois, Chicago, U.S.A.)
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Minimal models and classification of higher dimensional varieties II
      Location: Main Building Main Lecture Hall
      • 15:15 Minimal models and classification of higher dimensional varieties II 1h0'
        Speaker: A. Corti (Imperial College, London, U.K.)
        Material: book
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Thom-Whitney stratifications and Lefschetz theorem
      Location: Main Building Main Lecture Hall
      • 16:30 Thom-Whitney stratifications and Lefschetz theorem 1h0'
        Speaker: F. Elzein (Université de Nantes, Nantes, France)
        Material: lecture notes
  • Friday, 23 June 2006
    • 08:45 - 09:45 Effective resolution of singularities III
      Location: Main Building Main Lecture Hall
      • 08:45 Effective resolution of singularities III 1h0'
        Speaker: A. Fruehbis-Krueger (Kaiserslautern University, Kaiserslautern, Germany)
    • 09:45 - 10:00 Break
      Location: Main Building Main Lecture Hall
      • 09:45 Break 15'
    • 10:00 - 11:00 Resolution of singularities V
      Location: Main Building Main Lecture Hall
      • 10:00 Resolution of singularities V 1h0'
        Speaker: H. Hauser (Institut fuer Mathematik, Universitaet Innsbruck, Innsbruck, Austria)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Rational and canonical singularities II
      Location: Main Building Main Lecture Hall
      • 11:15 Rational and canonical singularities II 1h0'
        Speaker: M. Lejeune-Jalabert (Université de Versailles-St. Quentin-en-Yvelines, Versailles, France)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Equisingularity in positive characteristic II
      Location: Main Building Main Lecture Hall
      • 14:00 Equisingularity in positive characteristic II 1h0'
        Speaker: A. Campillo (Universidad de Valladolid, Valladolid, Spain)
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Idealistic exponents
      Location: Main Building Main Lecture Hall
      • 15:15 Idealistic exponents 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
        Material: lecture notes
  • Monday, 26 June 2006
    • 10:00 - 11:00 The Nash Problem I
      Location: Main Building Main Lecture Hall
      • 10:00 The Nash Problem I 1h0'
        Speaker: Popescu-Pampu/Plenat (Université Paris VII, Paris/Université de Provence, Marseille)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Factorization of birational maps I
      Location: Main Building Main Lecture Hall
      • 11:15 Factorization of birational maps I 1h0'
        Speaker: J. Wlodarczyk (Purdue University, West Lafayette, USA)
        Material: lecture notes
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Resolution of singularities in positive characteristic I
      Location: Main Building Main Lecture Hall
      • 14:00 Resolution of singularities in positive characteristic I 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Monomialization and toroidalization I
      Location: Main Building Main Lecture Hall
      • 15:15 Monomialization and toroidalization I 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
    • 16:15 - 16:30 Break
      Location: Main Building Main Lecture Hall
      • 16:15 Break 15'
    • 16:30 - 17:30 Tutorial on valuation theory and local uniformization
      Location: Main Building Main Lecture Hall
      • 16:30 Tutorial on valuation theory and local uniformization 1h0'
        Speaker: F-V. Kuhlmann (University of Saskatchewan, Saskatoon, Canada)
        Material: lecture notes
  • Tuesday, 27 June 2006
    • 10:00 - 11:00 The Nash Problem II
      Location: Main Building Main Lecture Hall
      • 10:00 The Nash Problem II 1h0'
        Speaker: Popescu-Pampu/Plenat (Université Paris VII, Paris/Université de Provence, Marseille)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Factorization of birational maps II
      Location: Main Building Main Lecture Hall
      • 11:15 Factorization of birational maps II 1h0'
        Speaker: J. Wlodarczyk (Purdue University, West Lafayette, USA)
        Material: lecture notes
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Resolution of singularities in positive characteristic II
      Location: Main Building Main Lecture Hall
      • 14:00 Resolution of singularities in positive characteristic II 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Monomialization and toroidalization II
      Location: Main Building Main Lecture Hall
      • 15:15 Monomialization and toroidalization II 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
  • Wednesday, 28 June 2006
    • 10:00 - 11:00 Some results on Fano Varieties
      Location: Main Building Main Lecture Hall
      • 10:00 Some results on Fano Varieties 1h0'
        Speaker: M. Andreatta (University of Trento, Povo Trento, Italy)
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Factorization of birational maps III
      Location: Main Building Main Lecture Hall
      • 11:15 Factorization of birational maps III 1h0'
        Speaker: J. Wlodarczyk (Purdue University, West Lafayette, USA)
        Material: lecture notes
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Resolution of singularities in positive characteristic III
      Location: Main Building Main Lecture Hall
      • 14:00 Resolution of singularities in positive characteristic III 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Monomialization and toroidalization III
      Location: Main Building Main Lecture Hall
      • 15:15 Monomialization and toroidalization III 1h0'
        Speaker: S.D. Cutkosky (University of Missouri, Columbia, U.S.A.)
        Material: lecture notes
  • Thursday, 29 June 2006
    • 10:00 - 11:00 The local fundamental group and resolution of singularities
      Location: Main Building Main Lecture Hall
      • 10:00 The local fundamental group and resolution of singularities 1h0'
        Speaker: Le Dung Trang (ICTP, Trieste, Italy)
        Material: lecture notes
    • 11:00 - 11:15 Break
      Location: Main Building Main Lecture Hall
      • 11:00 Break 15'
    • 11:15 - 12:15 Resolution of singularities in positive characteristic IV
      Location: Main Building Main Lecture Hall
      • 11:15 Resolution of singularities in positive characteristic IV 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
    • 12:15 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:15 Lunch Break 1h45'
    • 14:00 - 15:00 Resolution of singularities in positive characteristic V
      Location: Main Building Main Lecture Hall
      • 14:00 Resolution of singularities in positive characteristic V 1h0'
        Speaker: H. Hironaka (JAMS, Tokyo, Japan)
        Material: lecture notes
    • 15:00 - 15:15 Break
      Location: Main Building Main Lecture Hall
      • 15:00 Break 15'
    • 15:15 - 16:15 Extensions of valuations to completions I
      Location: Main Building Main Lecture Hall
      • 15:15 Extensions of valuations to completions I 1h0'
        Speaker: M. Spivakovsky (Université Paul Sabatier, Toulouse, France)
  • Friday, 30 June 2006
    • 09:00 - 10:00 Extensions of valuations to completions II
      Location: Main Building Main Lecture Hall
      • 09:00 Extensions of valuations to completions II 1h0'
        Speaker: M. Spivakovsky (Université Paul Sabatier, Toulouse, France)
    • 10:00 - 10:15 Break
      Location: Main Building Main Lecture Hall
      • 10:00 Break 15'
    • 10:15 - 11:15 Applications of vector bundles to singularities
      Location: Main Building Main Lecture Hall
      • 10:15 Applications of vector bundles to singularities 1h0'
        Speaker: E. Gasparim (New Mexico State University, Las Cruces, USA)
    • 11:15 - 11:30 Break
      Location: Main Building Main Lecture Hall
      • 11:15 Break 15'
    • 11:30 - 12:30 Poincaré Series and zeta-functions of the monodromy
      Location: Main Building Main Lecture Hall
      • 11:30 Poincaré Series and zeta-functions of the monodromy 1h0'
        Speaker: S.M. Gusein-Zade (Moscow State University, Moscow, Russian Federation)
    • 12:30 - 14:00 Lunch Break
      Location: Main Building Main Lecture Hall
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Factorization of birational maps IV
      Location: Main Building Main Lecture Hall
      • 14:00 Factorization of birational maps IV 1h0'
        Speaker: J. Wlodarczyk (Purdue University, West Lafayette, USA)
        Material: lecture notes
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