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Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.

13 votes
4 answers
2k views

What is about J. v. Neumann's "Continuous geometry"?

I am curious about von Neumann's "Continuous geometry", but found no recent text or survey on it. Does anyone know the book and would be so nice to share their impression, and if/how the concept of su …
Thomas Riepe's user avatar
  • 10.8k
6 votes
1 answer
1k views

What is Drinfeld's manuscript "Best Dream" (in Russian!) about?

I would like to know what Drinfeld's scanned manuscript "Best Dream" is about: the title makes me curious. It's in Russian.
Thomas Riepe's user avatar
  • 10.8k
3 votes
1 answer
1k views

P not eq. NP news?: [closed]

"Vinay Deolalikar. P is not equal to NP. 6th August, 2010 (66 pages 10pt, 102 pages 12pt). Manuscript sent on 6th August to several leading researchers in various areas. Confirmations began arriving …
Thomas Riepe's user avatar
  • 10.8k
3 votes
1 answer
408 views

Morava's "Motives and cell bundles"?

Hello, do you know more about, or some exposition of Morava's talk?
Thomas Riepe's user avatar
  • 10.8k
53 votes
3 answers
8k views

Grothendieck's manuscript on topology

Edit: Infos on the current state by Lieven Le Bruyn: http://www.neverendingbooks.org/grothendiecks-gribouillis Edit: Just in case anyone still thinks that Grothendieck's unpublished manuscripts are ( …
16 votes
1 answer
4k views

Kapranov's analogies

I just wonder about Kapranov's "Analogies between Langlands Correspondence and topological QFT". I would like to read a more detailed exposition and how one turns that analogy into concrete conjecture …
Thomas Riepe's user avatar
  • 10.8k
24 votes
3 answers
3k views

K(F_1) = sphere spectrum?

I repeatedly heard that K(F_1) is the sphere spectrum. Does anyone know about the proof and what that means?
Thomas Riepe's user avatar
  • 10.8k
3 votes
0 answers
241 views

ubiquitous modulicity?

On the one hand, as mentioned here, basically "everything" in algebraic geometry could be seen in the context of "moduli problems" - on the other hand, Grothendieck's few remarks on a possible "tame t …
Thomas Riepe's user avatar
  • 10.8k
13 votes
2 answers
3k views

Hilbert's 3rd problem,number theory, motives, cyclic homology,...

This talk by Jinhyun Park connects a lot of interesting themes, making me curious to read more about that. Do you know where?
Thomas Riepe's user avatar
  • 10.8k
47 votes
2 answers
9k views

current status of crystalline cohomology?

The great references given on Ilya's question make me wonder about the current status of the many conjectures and open questions in Illusie's survey from 1994 on crystalline cohomology. Obviously (jus …
26 votes
1 answer
2k views

More on "Transalgebraic Theories" (a 19th century yoga)?

Among the talks at occasion of the Galois Bicentennial, one is about "Transalgebraic Theories". Unfortunately I found only this article describing that fascinating idea as " an extremely powerful 'phi …
Thomas Riepe's user avatar
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12 votes
2 answers
2k views

Status of Beilinson conjectures?

(I hesitate to post that question here, but I received on answer on FB:) Does anyone know how the current status of work on them is? And how the possible generalizations etc. which one thinks current …