Миникурс «Introduction to Berkovich analytic spaces»
В период с 21 по 29 мая 2013 г. Antoine Ducros (Paris 6) и Jerome Poineau (Strasbourg) прочитали миникурс «Introduction to Berkovich analytic spaces».
Лекции состоялись
21.05 (вт., 17.00, ауд. 317), 22.05 (ср., 17.00, ауд. 311), 23.05 (чт., 15.30, ауд. 311), 27.05 (пн., 17.00, ауд. 1001), 28.05 (вт., 17.00, ауд. 317) и 29.05 (ср., 17.00, ауд. 311)
на факультете математики НИУ ВШЭ (ул. Вавилова, д.7).
Abstract: At the end of the eighties, Vladimir Berkovich introduced a new way to define p-adic analytic spaces. A surprising feature is that, although p-adic fields are totally discontinuous, the resulting spaces enjoy many nice topological properties: local compactness, local path-connectedness, etc. On the whole, those spaces are very similar to complex analytic spaces. They already have found numerous applications in several domains: arithmetic geometry, dynamics, motivic integration, etc.
In this course, we will introduce Berkovich spaces and study their basic properties. The program will cover the following topics: - non-Archimedean fields, absolute values - Tate algebras, affinoid algebras and their properties - affinoid spaces - Berkovich spaces - analytification of algebraic varieties - analytic curves (local structure, homotopy type).
The course will be understandable to those who know the definition of the field of p-adic numbers Qp.
Видеозаписи курса:
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Лекции состоялись
21.05 (вт., 17.00, ауд. 317), 22.05 (ср., 17.00, ауд. 311), 23.05 (чт., 15.30, ауд. 311), 27.05 (пн., 17.00, ауд. 1001), 28.05 (вт., 17.00, ауд. 317) и 29.05 (ср., 17.00, ауд. 311)
на факультете математики НИУ ВШЭ (ул. Вавилова, д.7).
Abstract: At the end of the eighties, Vladimir Berkovich introduced a new way to define p-adic analytic spaces. A surprising feature is that, although p-adic fields are totally discontinuous, the resulting spaces enjoy many nice topological properties: local compactness, local path-connectedness, etc. On the whole, those spaces are very similar to complex analytic spaces. They already have found numerous applications in several domains: arithmetic geometry, dynamics, motivic integration, etc.
In this course, we will introduce Berkovich spaces and study their basic properties. The program will cover the following topics: - non-Archimedean fields, absolute values - Tate algebras, affinoid algebras and their properties - affinoid spaces - Berkovich spaces - analytification of algebraic varieties - analytic curves (local structure, homotopy type).
The course will be understandable to those who know the definition of the field of p-adic numbers Qp.
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Видеозаписи курса:
Лекция 1
Лекция 2
Лекция 3
Лекция 4
Лекция 5
Лекция 6
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