Centre de recherches mathématiques
Université de Montréal
PROGRAMME
English |
Deuxième semaine
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Programme court sur l'analyse et la résolution de singularité
18 août - 5 septembre 2003
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LUND 25 AOÛT |
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09:00 - 10:00
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Inscription (Salle 5345) |
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10:00 - 11:30
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E. Bierstone Resolution of singularities (from an analyst's point of view) Cours 1: Introduction. Blowing up and strict transform; main goals; examples |
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14:00 - 15:30
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D.H. Phong Singularities in harmonic and geometric analysis Cours 1: Singularities and critical integrability exponents |
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15:30 - 16:00
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Pause-café (Salle 6245) |
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16:00 - 17:30
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R. Melrose Metrics, fibrations and singular spaces Cours 1: Introduction: Invertibility of the Laplacian. Manifolds with corners, b-maps, b-fibrations, real blow-up |
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MARDI 26 AOÜT |
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09:00 - 10:30
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E. Bierstone Resolution of singularities (from an analyst's point of view) Cours 2: Transforming a function to normal crossings by blowings-up. Proof of a simple version of resolution of singularities |
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10:30 - 11:00
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Pause-café (Salle 6245) |
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11:00 - 12:30
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D.H. Phong Singularities in harmonic and geometric analysis Cours 2: Singularities and integral operators |
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15:00 - 16:30
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R. Melrose Metrics, fibrations and singular spaces Cours 2: Pseudodifferential operators, composition, inverses. Example: the conic case |
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MERCREDI 27 AOÜT |
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09:00 - 10:30
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E. Bierstone Resolution of singularities (from an analyst's point of view) Cours 3: Desingularization of toric varieties. Combinatorial resolution of singularities |
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10:30 - 11:00
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Pause-café (Salle 6245) |
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11:00 - 12:30
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D.H. Phong Singularities in harmonic and geometric analysis Cours 3: Canonical metrics in Kähler geometry |
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15:00 - 16:30
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R. Melrose Metrics, fibrations and singular spaces Cours 3: Resolution of the spaces and metrics. Singular (m-) fibrations and blow up. A conjecture |
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JEUDI 28 AOÜT |
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09:00 - 10:30
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E. Bierstone Resolution of singularities (from an analyst's point of view) Cours 4: Invariants and the desingularization principle. Desingularization of parametrized families |
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10:30 - 11:00
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Pause-café (Salle 6245) |
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11:00 - 12:30
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D.H. Phong Singularities in harmonic and geometric analysis Cours 4: Singularities and energy functionals |
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15:00 - 16:30
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R. Melrose Metrics, fibrations and singular spaces Cours 4: Stratified metrics and Hodge theory |