Kato's lectures on the generalized Iwasawa conjecture adnKato's lectures on the generalized Iwasawa conjecture and how it fits into the general picture of zeta values, p$p$-adic periods etc., are intended to be "joyfull"joyful lectures good for beginners" (unfortunately, the article contains only part I, does anyone know about part II?). An otherAnother overview is given in Kato's ICM lectureKato's ICM lecture. Pottharst wrote a short note "What is Iwasawa theory about (in my opinion)?""What is Iwasawa theory about (in my opinion)?".
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