坂内健一研究室
発表記録 | ||||
|---|---|---|---|---|
| 2012/09/26 | 松本 | 松本 | ||
| 2012/10/03 | 三浦 | 岡野 | ||
| 2012/10/10 | 岡野 | |||
| 2012/10/17 | 松本 | 三浦 | 三浦 | |
| 2012/10/24 | 三浦 | 岡野 | 岡野 | |
| 松本 | ||||
| 2012/10/31 | 伊達 | 三浦 | ||
| 2012/11/07 | 松本 | 岡野 | ||
| 2012/11/14 | ||||
| 2012/11/28 | 三浦 | |||
テキスト：Qing Liu, Algebraic Geometry and Arithmetic Curves, Oxford Graduate Texts in Mathematics, Oxford University Press
| Chapter 2：General Properties of Schemes | ||
|---|---|---|
§2.3：Schemes | ||
| §2.3.1 | Definition of Schemes and Examples | 松本 |
| §2.3.2 | Morphism of Schemes | 松本 |
| §2.3.3 | Projective Schemes | 三浦 |
| §2.3.4 | Noetherian Schemes, Algebraic Varieties | |
§2.4：Reduced and Integral Schemes | ||
| §2.4.1 | Reduced Schemes | 岡野 |
| §2.4.2 | Irreducible Components | |
| §2.4.3 | Integral Schemes | 岡野 |
§2.5：Dimension | ||
| §2.5.1 | Dimension of schemes | |
| §2.5.2 | The case of Noetherian schemes | 松本 |
| §2.5.3 | Dimension of Algebraic Varieties | |
| Chapter 3：Morphisms and base change | ||
§3.1：The technique of base change | ||
| §3.1.1 | Fibered product | 三浦 |
| §3.1.2 | Base change | 三浦・三浦 |
§3.2：Application to Algebraic Varieties | ||
| §3.2.1 | Morphisms of Finite Type | 岡野 |
| §3.2.2 | Algebraic Varieties and extension of the base field | 岡野 |
| §3.2.3 | Points with values in an extension of a base field | 松本 |
| §3.2.4 | Frobenius | |
§3.3：Some global properties of morphisms | ||
| §3.3.1 | Separated Morphisms | 伊達 |
| §3.3.2 | Proper Morphisms | 三浦 |
| §3.3.3 | Projective Morphisms | |
| Chapter 4：Some Local Properties | ||
§4.1：Normal schemes | ||
| §4.1.1 | Normal schemes and extensions of regular functions | 岡野 |
§4.3：Flat morphisms and smooth morphisms | ||
| §4.3.2 | Étale morphisms | 三浦 |
発表記録 | |
|---|---|
| 2012/04/13 | 岡野 |
| 2012/04/20 | Dumont |
| 2012/04/27 | 谷口 |
| 2012/05/04 | みどりの日 |
| 2012/05/11 | 岡野 |
| 2012/05/18 | Dumont |
| 2012/05/25 | 慶應延世研究集会 |
| 2012/06/01 | お休み |
| 2012/06/08 | 岡野 |
| 2012/06/15 | 岡野 |
| 2012/06/22 | Dumont |
| 2012/06/29 | 谷口 |
| 谷口 | |
| 岡野 | |
| 2012/07/06 | Dumont |
| 2012/07/13 | 岡野 |
| 2012/07/11 | Dumont |
テキスト：J.-P. Serre, Local Fields, GTM 67, Springer
準備 | ||
|---|---|---|
| 1 | 準備 | 岡野 |
| 2 | 準備 | Dumont |
Chapter VII : Basic Facts | ||
| §7.1 | $G$-modules | 谷口 |
| §7.2 | Cohomology | |
| §7.3 | Computing the Cohomology via Cochains | 岡野 |
| §7.4 | Homology | |
| §7.5 | Change of Group | Dumont |
| §7.6 | An Exact Sequence | |
| §7.7 | Subgroup of Finite Index | 谷口・谷口 |
| §7.8 | Transfer | 岡野 |
Chapter VIII : Cohomology of Finite Groups | ||
| §8.1 | The Tate Cohomology Groups | 岡野 |
| §8.2 | Restriction and Corestrictions | Dumont |
| §8.3 | Cup Products | |
| §8.4 | Herbrand Quotient in the Cyclic of Prime Order Case | 岡野 |
| §8.5 | Cohomology of Finite Cyclic Groups, Herbrand Quotient | Dumont |
Chapter IX : Theorems of Tate and Nakayama | ||
| §9.1 | $p$-Groups | Dumont |
| §9.2 | Sylow Subgroups | |
| §9.3 | Induced Modules: Cohomologically Trivial Modules | 岡野 |
| §9.4 | Cohomology of a $p$-Group | |
| Final Talk : «The Power Reciprocity Law and its application to the proof of the Eisenstein Reciprocity Law» | Dumont | |