2010 ( )
|
|
- ふじよし はにうだ
- 5 years ago
- Views:
Transcription
1 2010 (
2 ( 1 29 ( 17: ( (1 3 (2 (3 (1 (4
3 Hesselholt, Lars i
4
5 1 ( 2 3 Cohen-Macaulay Auslander-Reiten [1] [2] 5 [1], :,, 2002 [2] I Assem, D Simson, A Skowronski: Elements of the representation theory of associative algebras Vol 1 Techniques of representation theory London Mathematical Society Student Texts, 65 Cambridge University Press, Cambridge, ( iyama@mathnagoya-uacjp 3 1
6 1 ( 2 3 GL(n, 5 [1] [2] Dym, McKean, Fourier Series and Integrals, ( [3] Perci Diaconis, Group representations in Probability and Statistics, Institute of Mathematical Statistics ( uzawa@mathnagoya-uacjp 2010/3/31 12:00 13:00 2
7 1 ( 2 3 (AIC: Akaike s Information Criterion ( ( ( [1] [2] ( [1], A 5 4,, 1983 [2], 2,, 2004 [3], 17,, 1993 [4], AIC,, ( kubo@mathnagoya-uacjp :30 14:30 12:30 13:30 3
8 1 ( 2 3 [1] 2 [1] [2] 3 [3] [1] S S, / [2] 3 [3] R Osserman A Survey of Minimal Surfaces (Dover ( ryoichi@mathnagoya-uacjp 16:00-18:00 4
9 1 ( 2 3 de Rham [1] [2] 5 [1] Griffiths-Harris Principles of Algebraic Geometry Wiley [2] D ( kondo@mathnagoya-uacjp 5
10 1 ( 2 3 Lie Grassmann n Coxeter GL n (C Grassmann 5 [1] J E Humphreys Reflection Groups and Coxeter Groups Cambridge studies in advanced mathematics 29, Cambridge Univesity Press [2] H Hiller Geometry of Coxeter Groups Research Notes in Mathematics 54, Pitman Advanced Publishing Program ( shoji@mathnagoya-uacjp 6
11 1 ( X n + a 1 X n a n 1 X + a n (a 1,, a n Z, n 1 ζ L [1] [4] [2] ( ( [1] 5 [1] [2] ( [3] ( [4] A ( hiroshis@mathnagoya-uacjp 14:00 15:00 15:00 17:00 7
12 1 ( 2 3 [1] 5 ( [1] [2] [3] [1] [1] A ( tate@mathnagoya-uacjp 8
13 1 ( 2 3,, L p,,,, 1 3, 1 [1] [2] 5 3 [1] R A Adams and J J F Fournier Sobolev spaces elsevier [2] [3], (, [3] ( tsugawa@mathnagoya-uacjp :00 13:00, 25 12:00 13:00 9
14 1 ( [1] N J Hicks, Notes on differential geometry, Van Nostrand [2] B O Neill, Elementary differential geometry, Elsevier/Academic Press [3] R Osserman, A survey of minimal surfaces, Dover [4], [5] J A Thorpe, Elementary topics in differential geometry, Springer [6] J A, 201 ( A ( nayatani@mathnagoya-uacjp 12:15 13:15 10
15 1 ( [1] [2] [3] A ( hayashi@mathnagoya-uacjp 11
16 1 Hesselholt, Lars ( 2 de Rham cohomology and characteristic classes 3 de Rham de Rham Brouwer Jordan-Brouwer de Rham Poincaré-Hopf 5 Ib Madsen and Jørgen Tornehave, From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes, Cambridge University Press, 1997 A ( larsh@mathnagoya-uacjp wwwmathnagoya-uacjp/ larsh Cafe David 12
17 1 ( [1], I II III,, A ( minami@mathnagoya-uacjp 11:50 12:50 13
2016 Course Description of Undergraduate Seminars (2015 12 16 ) 2016 12 16 ( ) 13:00 15:00 12 16 ( ) 1 21 ( ) 1 13 ( ) 17:00 1 14 ( ) 12:00 1 21 ( ) 15:00 1 27 ( ) 13:00 14:00 2 1 ( ) 17:00 2 3 ( ) 12
More information. Mac Lane [ML98]. 1 2 (strict monoidal category) S 1 R 3 A S 1 [0, 1] C 2 C End C (1) C 4 1 U q (sl 2 ) Drinfeld double. 6 2
2014 6 30. 2014 3 1 6 (Hopf algebra) (group) Andruskiewitsch-Santos [AFS09] 1980 Drinfeld (quantum group) Lie Lie (ribbon Hopf algebra) (ribbon category) Turaev [Tur94] Kassel [Kas95] (PD) x12005i@math.nagoya-u.ac.jp
More information平成 15 年度 ( 第 25 回 ) 数学入門公開講座テキスト ( 京都大学数理解析研究所, 平成 ~8 15 月年 78 日開催月 4 日 ) X 2 = 1 ( ) f 1 (X 1,..., X n ) = 0,..., f r (X 1,..., X n ) = 0 X = (
1 1.1 X 2 = 1 ( ) f 1 (X 1,..., X n ) = 0,..., f r (X 1,..., X n ) = 0 X = (X 1,..., X n ) ( ) X 1,..., X n f 1,..., f r A T X + XA XBR 1 B T X + C T QC = O X 1.2 X 1,..., X n X i X j X j X i = 0, P i
More informationmain.dvi
SGC - 70 2, 3 23 ɛ-δ 2.12.8 3 2.92.13 4 2 3 1 2.1 2.102.12 [8][14] [1],[2] [4][7] 2 [4] 1 2009 8 1 1 1.1... 1 1.2... 4 1.3 1... 8 1.4 2... 9 1.5... 12 1.6 1... 16 1.7... 18 1.8... 21 1.9... 23 2 27 2.1
More informationi Version 1.1, (2012/02/22 24),.,..,.,,. R-space,, ( R- space),, Kahler (Kähler C-space)., R-space,., R-space, Hermite,.
R-space ( ) Version 1.1 (2012/02/29) i Version 1.1, (2012/02/22 24),.,..,.,,. R-space,, ( R- space),, Kahler (Kähler C-space)., R-space,., R-space, Hermite,. ii 1 Lie 1 1.1 Killing................................
More information, CH n. CH n, CP n,,,., CH n,,. RH n ( Cartan )., CH n., RH n CH n,,., RH n, CH n., RH n ( ), CH n ( 1.1 (v), (vi) )., RH n,, CH n,., CH n,. 1.2, CH n
( ), Jürgen Berndt,.,. 1, CH n.,,. 1.1 ([6]). CH n (n 2), : (i) CH k (k = 0,..., n 1) tube. (ii) RH n tube. (iii). (iv) ruled minimal, equidistant. (v) normally homogeneous submanifold F k tube. (vi) normally
More information2.3. p(n)x n = n=0 i= x = i x x 2 x 3 x..,?. p(n)x n = + x + 2 x x 3 + x + 7 x + x + n=0, n p(n) x n, ( ). p(n) (mother function)., x i = + xi +
( ) : ( ) n, n., = 2+2+,, = 2 + 2 + = 2 + + 2 = + 2 + 2,,,. ( composition.), λ = (2, 2, )... n (partition), λ = (λ, λ 2,..., λ r ), λ λ 2 λ r > 0, r λ i = n i=. r λ, l(λ)., r λ i = n i=, λ, λ., n P n,
More informationCentralizers of Cantor minimal systems
Centralizers of Cantor minimal systems 1 X X X φ (X, φ) (X, φ) φ φ 2 X X X Homeo(X) Homeo(X) φ Homeo(X) x X Orb φ (x) = { φ n (x) ; n Z } x φ x Orb φ (x) X Orb φ (x) x n N 1 φ n (x) = x 1. (X, φ) (i) (X,
More informationK 2 X = 4 MWG(f), X P 2 F, υ 0 : X P 2 2,, {f λ : X λ P 1 } λ Λ NS(X λ ), (υ 0 ) λ : X λ P 2 ( 1) X 6, f λ K X + F, f ( 1), n, n 1 (cf [10]) X, f : X
2 E 8 1, E 8, [6], II II, E 8, 2, E 8,,, 2 [14],, X/C, f : X P 1 2 3, f, (O), f X NS(X), (O) T ( 1), NS(X), T [15] : MWG(f) NS(X)/T, MWL(f) 0 (T ) NS(X), MWL(f) MWL(f) 0, : {f λ : X λ P 1 } λ Λ NS(X λ
More informationsequentially Cohen Macaulay Herzog Cohen Macaulay 5 unmixed semi-unmixed 2 Semi-unmixed Semi-unmixed G V V (G) V G V G e (G) G F(G) (G) F(G) G dim G G
Semi-unmixed 1 K S K n K[X 1,..., X n ] G G G 2 G V (G) E(G) S G V (G) = {1,..., n} I(G) G S square-free I(G) = (X i X j {i, j} E(G)) I(G) G (edge ideal) 1990 Villarreal [11] S/I(G) Cohen Macaulay G 2005
More information20 15 14.6 15.3 14.9 15.7 16.0 15.7 13.4 14.5 13.7 14.2 10 10 13 16 19 22 1 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 2,500 59,862 56,384 2,000 42,662 44,211 40,639 37,323 1,500 33,408 34,472
More informationI? 3 1 3 1.1?................................. 3 1.2?............................... 3 1.3!................................... 3 2 4 2.1........................................ 4 2.2.......................................
More information- 2 -
- 2 - - 3 - (1) (2) (3) (1) - 4 - ~ - 5 - (2) - 6 - (1) (1) - 7 - - 8 - (i) (ii) (iii) (ii) (iii) (ii) 10 - 9 - (3) - 10 - (3) - 11 - - 12 - (1) - 13 - - 14 - (2) - 15 - - 16 - (3) - 17 - - 18 - (4) -
More information2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4 4 4 2 5 5 2 4 4 4 0 3 3 0 9 10 10 9 1 1
1 1979 6 24 3 4 4 4 4 3 4 4 2 3 4 4 6 0 0 6 2 4 4 4 3 0 0 3 3 3 4 3 2 4 3? 4 3 4 3 4 4 4 4 3 3 4 4 4 4 2 1 1 2 15 4 4 15 0 1 2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4
More information1 (1) (2)
1 2 (1) (2) (3) 3-78 - 1 (1) (2) - 79 - i) ii) iii) (3) (4) (5) (6) - 80 - (7) (8) (9) (10) 2 (1) (2) (3) (4) i) - 81 - ii) (a) (b) 3 (1) (2) - 82 - - 83 - - 84 - - 85 - - 86 - (1) (2) (3) (4) (5) (6)
More information0. I II I II (1) linear type: GL( ), Sp( ), O( ), (2) loop type: loop current Kac-Moody affine, hyperbolic (3) diffeo t
e-mail: koyama@math.keio.ac.jp 0. I II I II (1) linear type: GL( ), Sp( ), O( ), (2) loop type: loop current Kac-Moody affine, hyperbolic (3) diffeo type: diffeo universal Teichmuller modular I. I-. Weyl
More informationCAPELLI (T\^o $\mathrm{r}\mathrm{u}$ UMEDA) MATHEMATICS, KYOTO UNIVERSITY DEPARTMENT $\mathrm{o}\mathrm{p}$ $0$:, Cape i,.,.,,,,.,,,.
1508 2006 1-11 1 CAPELLI (T\^o $\mathrm{r}\mathrm{u}$ UMEDA) MATHEMATICS KYOTO UNIVERSITY DEPARTMENT $\mathrm{o}\mathrm{p}$ $0$: Cape i Capelli 1991 ( ) (1994 ; 1998 ) 100 Capelli Capelli Capelli ( ) (
More informationWORKING PAPER SERIES Masahiko Ota Graduate Student of Commerce and Management, Hitotsubashi University The Role of Zaikai-Jin in Entrepreneurship: Tai
WORKING PAPER SERIES ( No.44) 2007/03/20 No. The Research Institute for Innovation Management, HOSEI UNIVERSITY WORKING PAPER SERIES Masahiko Ota Graduate Student of Commerce and Management, Hitotsubashi
More information1980年代半ば,米国中西部のモデル 理論,そして未来-モデル理論賛歌
2016 9 27 RIMS 1 2 3 1983 9-1989 6 University of Illinois at Chicago (UIC) John T Baldwin 1983 9-1989 6 University of Illinois at Chicago (UIC) John T Baldwin Y N Moschovakis, Descriptive Set Theory North
More information2.1 H f 3, SL(2, Z) Γ k (1) f H (2) γ Γ f k γ = f (3) f Γ \H cusp γ SL(2, Z) f k γ Fourier f k γ = a γ (n)e 2πinz/N n=0 (3) γ SL(2, Z) a γ (0) = 0 f c
GL 2 1 Lie SL(2, R) GL(2, A) Gelbart [Ge] 1 3 [Ge] Jacquet-Langlands [JL] Bump [Bu] Borel([Bo]) ([Ko]) ([Mo]) [Mo] 2 2.1 H = {z C Im(z) > 0} Γ SL(2, Z) Γ N N Γ (N) = {γ SL(2, Z) γ = 1 2 mod N} g SL(2,
More information2015 Course Description of Graduate Seminars ( )
2015 Course Description of Graduate Seminars (2014 12 26 ) 2015 1 23 ( ) 17:00 1 2 1 2 20 ( ) 17:00 2 3 ( ) 3 2 ( ) 4 A A. e-mail e-mail ( ) 2 (1) 1 2 (2) 1 2 3 (3) 2 (4) 1 5 (5) (2), (3) (6),,. 2015................................
More informationuntitled
Report 1 2 2 3 5 7 10 12 14 Topics 16 17 18 19 20 21 Information 25 25 Report 2015.9 No.86 1 2 2015.9 No.86 2015.9 No.86 3 4 2015.9 No.86 2015.9 No.86 5 6 2015.9 No.86 2015.9 No.86 7 8 2015.9 No.86 2015.9
More informationuntitled
1 Report 3 4 8 10 14 16 Topics 18 18 19 19 20 20 21 21 22 23 Information 25 25 2013.9 No.80 1 2 2013.9 No.80 Report 2013.9 No.80 3 4 2013.9 No.80 2013.9 No.80 5 6 2013.9 No.80 2013.9 No.80 7 8 2013.9 No.80
More informationGauss Fuchs rigid rigid rigid Nicholas Katz Rigid local systems [6] Fuchs Katz Crawley- Boevey[1] [7] Katz rigid rigid Katz middle convolu
rigidity 2014.9.1-2014.9.2 Fuchs 1 Introduction y + p(x)y + q(x)y = 0, y 2 p(x), q(x) p(x) q(x) Fuchs 19 Fuchs 83 Gauss Fuchs rigid rigid rigid 7 1970 1996 Nicholas Katz Rigid local systems [6] Fuchs Katz
More informationMilnor 1 ( ), IX,. [KN].,. 2 : (1),. (2). 1 ; 1950, Milnor[M1, M2]. Milnor,,. ([Hil, HM, IO, St] ).,.,,, ( 2 5 )., Milnor ( 4.1)..,,., [CEGS],. Ω m, P
Milnor 1 ( ), IX,. [KN].,. 2 : (1),. (2). 1 ; 1950, Milnor[M1, M2]. Milnor,,. ([Hil, HM, IO, St] ).,.,,, ( 2 5 )., Milnor ( 4.1)..,,., [CEGS],. Ω m, PC ( 4 5 )., 5, Milnor Milnor., ( 6 )., (I) Z modulo
More information................................................................................... 3 I.............................................. 5 I.............................................. 7 I..............................................
More informationsakigake1.dvi
(Zin ARAI) arai@cris.hokudai.ac.jp http://www.cris.hokudai.ac.jp/arai/ 1 dynamical systems ( mechanics ) dynamical systems 3 G X Ψ:G X X, (g, x) Ψ(g, x) =:Ψ g (x) Ψ id (x) =x, Ψ gh (x) =Ψ h (Ψ g (x)) (
More information2次Wiener汎関数について
.. 2 Wiener 213 9 21 2 Wiener 213 9 21 1 / 18 Plan Plan. 1. 2 2 Wiener F-L. 3 2 Wiener. 4 2 Wiener. 5 Wiener 2 Wiener 213 9 21 2 / 18 1979B4 198M1 Dym-McKean: Fourier series and inegrals Sroock-Varadhan:
More information(Junjiro Ogawa),,,,, 1 IT (Internet Technology) (Big-Data) IoT (Internet of Things) ECO-FORUM 2018 ( ) ( ) ( ) ( ) 1
SDS-6 失われた 50 年 : ビッグデータ時代における統計科学の人材育成の課題 国友直人 November 2017 Statistics & Data Science Series back numbers: http://www.mims.meiji.ac.jp/publications/datascience.html 50 2017 10 50 (Junjiro Ogawa),,,,,
More information1
1 Borel1956 Groupes linéaire algébriques, Ann. of Math. 64 (1956), 20 82. Chevalley1956/58 Sur la classification des groupes de Lie algébriques, Sém. Chevalley 1956/58, E.N.S., Paris. Tits1959 Sur la classification
More information44 4 I (1) ( ) (10 15 ) ( 17 ) ( 3 1 ) (2)
(1) I 44 II 45 III 47 IV 52 44 4 I (1) ( ) 1945 8 9 (10 15 ) ( 17 ) ( 3 1 ) (2) 45 II 1 (3) 511 ( 451 1 ) ( ) 365 1 2 512 1 2 365 1 2 363 2 ( ) 3 ( ) ( 451 2 ( 314 1 ) ( 339 1 4 ) 337 2 3 ) 363 (4) 46
More informationk + (1/2) S k+(1/2) (Γ 0 (N)) N p Hecke T k+(1/2) (p 2 ) S k+1/2 (Γ 0 (N)) M > 0 2k, M S 2k (Γ 0 (M)) Hecke T 2k (p) (p M) 1.1 ( ). k 2 M N M N f S k+
1 SL 2 (R) γ(z) = az + b cz + d ( ) a b z h, γ = SL c d 2 (R) h 4 N Γ 0 (N) {( ) } a b Γ 0 (N) = SL c d 2 (Z) c 0 mod N θ(z) θ(z) = q n2 q = e 2π 1z, z h n Z Γ 0 (4) j(γ, z) ( ) a b θ(γ(z)) = j(γ, z)θ(z)
More information1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 () - 1 - - 2 - - 3 - - 4 - - 5 - 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
More informationNo ii
2005 6 1 2 200004 103/7-2000041037-1 3 4 5 JIS JIS X 0208, 1997 o È o http://www.pref.hiroshima.jp/soumu/bunsyo/monjokan/index.htm 200004 3 6 188030489521435 6119865 1220007 2 1659361903 3118983 16 381963
More informationブック
ARMA Estimation on Process of ARMA Time Series Model Sanno University Bulletin Vol.26 No. 2 February 2006 ARMA Estimation on Process of ARMA Time Series Model Many papers and books have been published
More informationi ii i iii iv 1 3 3 10 14 17 17 18 22 23 28 29 31 36 37 39 40 43 48 59 70 75 75 77 90 95 102 107 109 110 118 125 128 130 132 134 48 43 43 51 52 61 61 64 62 124 70 58 3 10 17 29 78 82 85 102 95 109 iii
More informationMicrosoft Word - 三重大学版PBLマニュアル.doc
Problem-based Learning PBL * 1 * 2 * 1 Problem-based Learning Project-based Learning * 2 1 15 2 reflection self-directed learning (PBL-tutorial) (Task-based Learning, Project-based Learning) 11 3 4 (Theoretical
More information2016 Institute of Statistical Research
2016 Institute of Statistical Research 2016 Institute of Statistical Research 2016 Institute of Statistical Research 2016 Institute of Statistical Research 2016 Institute of Statistical Research 2016 Institute
More informationSAMA- SUKU-RU Contents p-adic families of Eisenstein series (modular form) Hecke Eisenstein Eisenstein p T
SAMA- SUKU-RU Contents 1. 1 2. 7.1. p-adic families of Eisenstein series 3 2.1. modular form Hecke 3 2.2. Eisenstein 5 2.3. Eisenstein p 7 3. 7.2. The projection to the ordinary part 9 3.1. The ordinary
More informationpenalty cost. back log KM hq + cm + Q 2 2KM Q = h economic order quantity, EOQ Wilson 2
logistics 1 penalty cost. back log KM hq + cm + Q 2 2KM Q = h economic order quantity, EOQ Wilson 2 Wilson lot size lot-size formula Kotler[15], p602 Scarf [15] / s,s Veinott [18] 3 + + x d(x) f(x) x h
More information第5章 偏微分方程式の境界値問題
October 5, 2018 1 / 113 4 ( ) 2 / 113 Poisson 5.1 Poisson ( A.7.1) Poisson Poisson 1 (A.6 ) Γ p p N u D Γ D b 5.1.1: = Γ D Γ N 3 / 113 Poisson 5.1.1 d {2, 3} Lipschitz (A.5 ) Γ D Γ N = \ Γ D Γ p Γ N Γ
More information.................................................................................... 1 I............................................... 3 I............................................... 5 I...............................................
More information案内パンフレット2016 神戸大学大学院人間発達環境学研究科
1 2 3 4 5 66 67 P 76 P 74 P 90 P 90 P 86 P 86 P 80 P 80 P 96 P 96 P104 P 98 P 98 P 100 P100 P102 P102 P108 TOPICS 1 2 3 TOPICS TOPICS 68 69 70 TOPICS 4 5 TOPICS TOPICS 6 71 TOPICS 7 8 TOPICS TOPICS 9 72
More information自然な図形と不自然な図形: 幾何図形の二つの「意味」
( ) mail: hiroyuki.inaoka@gmail.com 48 2015.11.22 1 1 ( ) ( ) 3 5 3 13 3 2 1 27 Shin Manders Avigad, Mumma, Mueller (Macbeth ) Fowler, Netz [2014] Theorem c a, b a 2 + b 2 = c 2 Proof. c 4 b a 180 b c
More information1 Fourier Fourier Fourier Fourier Fourier Fourier Fourier Fourier Fourier analog digital Fourier Fourier Fourier Fourier Fourier Fourier Green Fourier
Fourier Fourier Fourier etc * 1 Fourier Fourier Fourier (DFT Fourier (FFT Heat Equation, Fourier Series, Fourier Transform, Discrete Fourier Transform, etc Yoshifumi TAKEDA 1 Abstract Suppose that u is
More informationfiš„v8.dvi
(2001) 49 2 333 343 Java Jasp 1 2 3 4 2001 4 13 2001 9 17 Java Jasp (JAva based Statistical Processor) Jasp Jasp. Java. 1. Jasp CPU 1 106 8569 4 6 7; fuji@ism.ac.jp 2 106 8569 4 6 7; nakanoj@ism.ac.jp
More information