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What is the difference between Finite fields and Function fields? [closed]
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What is exactly is the difference between these two fields and the various conjectures formulated over them? For example the Weil conjectures are for finite fields. Can they be formulated for function fields? Does that even make sense as a question? I know the Langlands correspondence was solved for general linear groups over function fields. Can that be formulated for finite fields? I know about local fields and global fields. Where exactly do finite fields fit into that category? I’m confused about the difference and the objects you can construct on these fields. Like local zeta functions for finite fields.
algebraic-geometry finite-fields
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
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closed as too broad by Magdiragdag, Cesareo, Riccardo.Alestra, Adrian Keister, Lee David Chung Lin Jan 23 at 14:48
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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$begingroup$
What is exactly is the difference between these two fields and the various conjectures formulated over them? For example the Weil conjectures are for finite fields. Can they be formulated for function fields? Does that even make sense as a question? I know the Langlands correspondence was solved for general linear groups over function fields. Can that be formulated for finite fields? I know about local fields and global fields. Where exactly do finite fields fit into that category? I’m confused about the difference and the objects you can construct on these fields. Like local zeta functions for finite fields.
algebraic-geometry finite-fields
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
$endgroup$
closed as too broad by Magdiragdag, Cesareo, Riccardo.Alestra, Adrian Keister, Lee David Chung Lin Jan 23 at 14:48
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.
add a comment |
$begingroup$
What is exactly is the difference between these two fields and the various conjectures formulated over them? For example the Weil conjectures are for finite fields. Can they be formulated for function fields? Does that even make sense as a question? I know the Langlands correspondence was solved for general linear groups over function fields. Can that be formulated for finite fields? I know about local fields and global fields. Where exactly do finite fields fit into that category? I’m confused about the difference and the objects you can construct on these fields. Like local zeta functions for finite fields.
algebraic-geometry finite-fields
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
$endgroup$
What is exactly is the difference between these two fields and the various conjectures formulated over them? For example the Weil conjectures are for finite fields. Can they be formulated for function fields? Does that even make sense as a question? I know the Langlands correspondence was solved for general linear groups over function fields. Can that be formulated for finite fields? I know about local fields and global fields. Where exactly do finite fields fit into that category? I’m confused about the difference and the objects you can construct on these fields. Like local zeta functions for finite fields.
algebraic-geometry finite-fields
algebraic-geometry finite-fields
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
asked Jan 23 at 7:44
Alex Yan Alex Yan
61
61
closed as too broad by Magdiragdag, Cesareo, Riccardo.Alestra, Adrian Keister, Lee David Chung Lin Jan 23 at 14:48
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.
closed as too broad by Magdiragdag, Cesareo, Riccardo.Alestra, Adrian Keister, Lee David Chung Lin Jan 23 at 14:48
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.
add a comment |
add a comment |
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