Mixing
Iwasawa theory in Fermat' last theorem [on hold]
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What is the useness of Iwasawa theory in the proof of Fermat's last theorem? Can any one give an answer about how Iwasawa theory is involved in it?Thanks!
--------------- edit----------------------
Sorry for not clearly specifying the question.I dont know How to edit this question to make it more specific. After reading the main ideas of Wile's proof, I think we need Iwasawa theory to complete A key step(or several steps) in the proof of Fermat last theorem. But I cannot give more technique details on What it is due to not fully understanding the proof. I Just need A very rough description on what iwasawa theory is used in the proof or What fact it is used to prove. Thanks!
number-theory algebraic-number-theory
asked Aug 3 at 14:41
abc
562413
put on hold as too broad by zhoraster, anomaly, user357151, Xander Henderson, Lord Shark the Unknown Aug 4 at 5:01
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
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down vote
favorite
What is the useness of Iwasawa theory in the proof of Fermat's last theorem? Can any one give an answer about how Iwasawa theory is involved in it?Thanks!
--------------- edit----------------------
Sorry for not clearly specifying the question.I dont know How to edit this question to make it more specific. After reading the main ideas of Wile's proof, I think we need Iwasawa theory to complete A key step(or several steps) in the proof of Fermat last theorem. But I cannot give more technique details on What it is due to not fully understanding the proof. I Just need A very rough description on what iwasawa theory is used in the proof or What fact it is used to prove. Thanks!
number-theory algebraic-number-theory
asked Aug 3 at 14:41
abc
562413
put on hold as too broad by zhoraster, anomaly, user357151, Xander Henderson, Lord Shark the Unknown Aug 4 at 5:01
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
5
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
1
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
What is the useness of Iwasawa theory in the proof of Fermat's last theorem? Can any one give an answer about how Iwasawa theory is involved in it?Thanks!
--------------- edit----------------------
Sorry for not clearly specifying the question.I dont know How to edit this question to make it more specific. After reading the main ideas of Wile's proof, I think we need Iwasawa theory to complete A key step(or several steps) in the proof of Fermat last theorem. But I cannot give more technique details on What it is due to not fully understanding the proof. I Just need A very rough description on what iwasawa theory is used in the proof or What fact it is used to prove. Thanks!
number-theory algebraic-number-theory
asked Aug 3 at 14:41
abc
562413
What is the useness of Iwasawa theory in the proof of Fermat's last theorem? Can any one give an answer about how Iwasawa theory is involved in it?Thanks!
--------------- edit----------------------
Sorry for not clearly specifying the question.I dont know How to edit this question to make it more specific. After reading the main ideas of Wile's proof, I think we need Iwasawa theory to complete A key step(or several steps) in the proof of Fermat last theorem. But I cannot give more technique details on What it is due to not fully understanding the proof. I Just need A very rough description on what iwasawa theory is used in the proof or What fact it is used to prove. Thanks!
number-theory algebraic-number-theory
asked Aug 3 at 14:41
abc
562413
edited 20 hours ago
asked Aug 3 at 14:41
abc
562413
asked Aug 3 at 14:41
abc
562413
asked Aug 3 at 14:41
abc
562413
562413
put on hold as too broad by zhoraster, anomaly, user357151, Xander Henderson, Lord Shark the Unknown Aug 4 at 5:01
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as too broad by zhoraster, anomaly, user357151, Xander Henderson, Lord Shark the Unknown Aug 4 at 5:01
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
5
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
1
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago
add a comment |Â
5
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
1
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago
5
5
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
1
1
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
0
down vote
You can read this:
AN INTRODUCTION TO
IWASAWA THEORY FOR ELLIPTIC CURVES
answered Aug 3 at 17:01
Stefano Maruelli
254
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
You can read this:
AN INTRODUCTION TO
IWASAWA THEORY FOR ELLIPTIC CURVES
answered Aug 3 at 17:01
Stefano Maruelli
254
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
add a comment |Â
up vote
0
down vote
You can read this:
AN INTRODUCTION TO
IWASAWA THEORY FOR ELLIPTIC CURVES
answered Aug 3 at 17:01
Stefano Maruelli
254
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
add a comment |Â
up vote
0
down vote
up vote
0
down vote
You can read this:
AN INTRODUCTION TO
IWASAWA THEORY FOR ELLIPTIC CURVES
answered Aug 3 at 17:01
Stefano Maruelli
254
You can read this:
AN INTRODUCTION TO
IWASAWA THEORY FOR ELLIPTIC CURVES
answered Aug 3 at 17:01
Stefano Maruelli
254
answered Aug 3 at 17:01
Stefano Maruelli
254
answered Aug 3 at 17:01
Stefano Maruelli
254
answered Aug 3 at 17:01
Stefano Maruelli
254
254
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
add a comment |Â
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
I'm very sorry my answer was unlikely for someone: you can read the answer to your question going at the end of this paper, where the connection to the FLT is cited. It implies you're able to understand all what is written before.
– Stefano Maruelli
2 days ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
Thanks A lot for this reference! I will carefully read it!
– abc
21 hours ago
add a comment |Â
5
This question is quite broad, I suggest you specify what are your background and current understanding.
– Arnaud Mortier
Aug 3 at 15:20
1
Have you read Simon Singh's Fermat's Last Theorem, which discusses how Wiles combined it with the Kolyvagin-Flach approach?
– J.G.
Aug 3 at 17:03
I know iwasawa theory and the main idea of Wiles proof, just not quite sure which part of the proof mathematically it needs to use iwasawa...
– abc
Aug 4 at 3:00
@J.G. Singh's book is an excellent non-technical introduction for non-mathematicians. However, it contains numerous mathematical inaccuracies, and is completely useless as a technical introduction to the topic. Better would be Cornell-Silverman-Stevens or Darmon-Diamond-Taylor.
– Mathmo123
2 days ago
@Mathmo123 You're absolutely right. I wasn't sure what level the OP would want us to pitch out when I offered that comment. Thanks for your superior suggestions; I might go read them myself.
– J.G.
2 days ago