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Implemented correction re Fields medal, as pointed out by another commenter
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Yemon Choi
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How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known these days for his work in non-commutative geometry, for which hehaving previously earned a Fields medalmedal* for his work on the classification of factors. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

I am mostly curious, specifically, in conceptual reasons (if any) why this approach is, or may be, regarded as "not promising", or "conceptually incorrect", in contrast to the other questions already on MO, that usually inquire about what such approach may or may not be "still missing", or what it already accomplishes.

*See Araki's article for the 1983 ICM Proceedings (requires subscription; the entire proceedings are free via https://www.mathunion.org/icm/proceedings

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known for his work in non-commutative geometry, for which he earned a Fields medal. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

I am mostly curious, specifically, in conceptual reasons (if any) why this approach is, or may be, regarded as "not promising", or "conceptually incorrect", in contrast to the other questions already on MO, that usually inquire about what such approach may or may not be "still missing", or what it already accomplishes.

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known these days for his work in non-commutative geometry, having previously earned a Fields medal* for his work on the classification of factors. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

I am mostly curious, specifically, in conceptual reasons (if any) why this approach is, or may be, regarded as "not promising", or "conceptually incorrect", in contrast to the other questions already on MO, that usually inquire about what such approach may or may not be "still missing", or what it already accomplishes.

*See Araki's article for the 1983 ICM Proceedings (requires subscription; the entire proceedings are free via https://www.mathunion.org/icm/proceedings

Post Reopened by user87684, Mikhail Katz, Francois Ziegler, Jan-Christoph Schlage-Puchta, Stefan Kohl
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user122630
user122630

Connes' work Some clarifications on the Riemann HypothesisConnes' approach to RH

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known for his work in non-commutative geometry, for which he earned a Fields medal. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

I am mostly curious, specifically, in conceptual reasons (if any) why this approach is, or may be, regarded as "not promising", or "conceptually incorrect", in contrast to the other questions already on MO, that usually inquire about what such approach may or may not be "still missing", or what it already accomplishes.

Connes' work on the Riemann Hypothesis

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known for his work in non-commutative geometry, for which he earned a Fields medal. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

Some clarifications on Connes' approach to RH

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known for his work in non-commutative geometry, for which he earned a Fields medal. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.

I am mostly curious, specifically, in conceptual reasons (if any) why this approach is, or may be, regarded as "not promising", or "conceptually incorrect", in contrast to the other questions already on MO, that usually inquire about what such approach may or may not be "still missing", or what it already accomplishes.

Post Closed as "Opinion-based" by j.c., Steven Landsburg, Andy Putman, abx, user6976
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user122630
user122630

Connes' work on the Riemann Hypothesis

How serious/promising is Connes' work on the Riemann Hypothesis?

Connes is mostly known for his work in non-commutative geometry, for which he earned a Fields medal. He is a trusted mathematician with deep insights.

On the other hand, his essay on RH doesn't seem to identify one clear idea on how to approach the problem. At least, none that I can see.

I'm wondering if anybody looked into it. After all, he seems to have been working on RH, one way or another, for twenty years, now.