- On the two-variable Iwasawa Tadashi Ochiai (Osaka University)
- ( Q, R, C, C(x), etc) f1(x1, , xd), , fm(x1, , xd) k[x1, , xd]
- IWASAWA THEORY FOR NEARLY ORDINARY HIDA DEFORMATIONS OF HILBERT MODULAR FORMS
- f(x) = 0 , f(0) = 1 f(x) = |x| lim
- On the twovariable Iwasawa Tadashi Ochiai (Osaka University)
- l l l INDEPENDENCE OF THE TRACE OF MONODROMY Tadashi Ochiai
- A GENERALIZATION OF THE COLEMAN MAP FOR HIDA DEFORMATIONS
- Haruzo Hida: p-adic Automorphic Forms on Shimura varieties Springer monographs in Mathematics, Springer-Verlag, 2004 , 390 .
- B(2010) (10/5 ) ax + by = 3
- CONTROL THEOREM FOR BLOCHKATO'S SELMER GROUPS OF pADIC REPRESENTATIONS
- Iwasawa Theory for Hida deformations with complex multiplication Tadashi OCHIAI, Osaka University/University Paris 13
- CONTROL THEOREMS FOR SELMER GROUPS OF NEARLY ORDINARY DEFORMATIONS
- Greenberg's view on generalizing Iwasawa theory
- (2009) (4/9 ) r(cos +i sin ), r (cos +i sin ) rr {cos( + ) + i sin( + )}
- Andrew Wiles 1953 , 20 (Fermat). p 3 xp + yp = 1 xy = 0
- p-ADIC L-FUNCTIONS FOR GALOIS DEFORMATIONS AND RELATED PROBLEMS ON PERIODS
- A(2009) (4/28 ) = e (e ) log x x = 1
- CONTROL THEOREMS FOR SELMER GROUPS OF NEARLY ORDINARY DEFORMATIONS
- ON THE SELMER GROUPS OF ABELIAN VARIETIES OVER FUNCTION FIELDS OF CHARACTERISTIC p > 0
- THE ALGEBRAIC p-ADIC L-FUNCTION AND ISOGENY BETWEEN FAMILIES OF GALOIS REPRESENTATIONS
- ON THE TWO-VARIABLE IWASAWA MAIN CONJECTURE TADASHI OCHIAI
- EULER SYSTEM FOR GALOIS DEFORMATIONS TADASHI OCHIAI
- BEILINSON-EULER , (2011/5/30-6/2)
- p-adic L-functions for Galois deformation spaces and
- = 0 = = 0 v, v : . v = 0, v
- [1] n an {an} . k2 (b) an = (1 + 2
- A(2009) (7/7 ) (1) D = {(x, y)|y x, y 2x, y 2} .
- [1] f(x, y) = z = f(x, y) (x, y, z) =
- [1] f(x) F(x) = f(x) ( ). x2 -3x + 2
- [1] f(x), g(x) . f(x) = log(
- 1. Introduction Fp = Z/(p)Z ( Fq)
- = Hasse-Weil L-Hasse-Weil L-...
- THE ALGEBRAIC p-ADIC L-FUNCTION AND ISOGENY BETWEEN FAMILIES OF GALOIS REPRESENTATIONS
- A GENERALIZATION OF THE COLEMAN MAP FOR HIDA DEFORMATIONS
- NOTES ON NON-COMMUTATIVE IWASAWA THEORY YOSHITAKA HACHIMORI AND TADASHI OCHIAI
- ATOMES GALOISIENS ET (, )-MODULES TADASHI OCHIAI
- LA FONCTION L p-ADIQUE DE MAZUR-TATE-TEITELBAUM ET SA CONSTRUCTION VIA LE SYMBOL MODULAIRE
- Greenberg's view on generalizing Iwasawa theory
- ########### (University of Tokyo) ####### #PDF# ## # (Ochiai, Tadashi)
- THE TWO VARIABLE IWASAWA MAIN CONJECTURE FOR RAMANUJAN'S CUSP FORM
- CONTROL THEOREM FOR BLOCH-KATO'S SELMER GROUPS OF p-ADIC REPRESENTATIONS
- EULER SYSTEM FOR GALOIS DEFORMATIONS TADASHI OCHIAI
- A(2009) (5/19 ) f(x) = cos x 5 f(x) = f(0)+ f (0)
- TWO-VARIABLE p-ADIC L-FUNCTIONS ASSOCIATED TO HIDA DEFORMATIONS
- 3.2. 16 References 20
- CONTROL THEOREM FOR GREENBERG'S SELMER GROUPS OF GALOIS DEFORMATIONS
- lll-INDEPENDENCE OF THE TRACE OF MONODROMY Tadashi Ochiai
- CONTROL THEOREM FOR GREENBERG'S SELMER GROUPS OF GALOIS DEFORMATIONS
- BERTINI THEOREM FOR NORMALITY ON LOCAL RINGS IN MIXED CHARACTERISTIC (APPLICATIONS TO CHARACTERISTIC IDEALS)
