penseur_32
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16 answers
222 votes
52k views
148 bookmarks
What elementary problems can you solve with schemes?
3 answers
214 votes
14k views
126 bookmarks
A Game on Noetherian Rings
0 answers
171 votes
10k views
77 bookmarks
Why polynomials with coefficients $0,1$ like to have only factors with $0,1$ coefficients?
4 answers
134 votes
56k views
155 bookmarks
What are "perfectoid spaces"?
2 answers
94 votes
9k views
60 bookmarks
Riemann hypothesis via absolute geometry
4 answers
72 votes
8k views
21 bookmarks
Fake integers for which the Riemann hypothesis fails?
2 answers
64 votes
5k views
22 bookmarks
Is there a "purely algebraic" proof of the finiteness of the class number?
3 answers
59 votes
4k views
42 bookmarks
Operations via Morse Theory
0 answers
54 votes
3k views
24 bookmarks
Grothendieck's Period Conjecture and the missing p-adic Hodge Theories
4 answers
47 votes
7k views
37 bookmarks
Is there an "elementary" proof of the infinitude of completely split primes?
2 answers
44 votes
5k views
43 bookmarks
Grothendieck says: points are not mere points, but carry Galois group actions
3 answers
36 votes
8k views
32 bookmarks
What does the Lefschetz principle (in algebraic geometry) mean exactly?
1 answers
29 votes
3k views
27 bookmarks
Reasons for the use of Nisnevich topology in motivic homotopy theory
2 answers
28 votes
5k views
22 bookmarks
A precise statement of the categorical version of geometric Langlands conjecture
1 answers
24 votes
3k views
10 bookmarks
Arithmetic Morse theory?
4 answers
21 votes
2k views
12 bookmarks
Two questions about finiteness of ideal classes in abstract number rings
2 answers
20 votes
1k views
13 bookmarks
How can I see the relation between shtukas and the Langlands conjecture?
3 answers
20 votes
5k views
26 bookmarks
The algebraic fundamental group of a reductive algebraic group
3 answers
20 votes
6k views
18 bookmarks
Math French Words
6 answers
19 votes
3k views
21 bookmarks
What are the most important instances of the "yoga of generic points"?
2 answers
16 votes
3k views
16 bookmarks
Smooth dg algebras (and perfect dg modules and compact dg modules)
0 answers
14 votes
283 views
4 bookmarks
Exposition of Drinfeld's proof of function field Langlands for GL(2)
3 answers
12 votes
4k views
6 bookmarks
Why are they called L-functions?
1 answers
12 votes
944 views
5 bookmarks
Proj construction in derived algebraic geometry
1 answers
12 votes
1k views
2 bookmarks
Why Use Hypercohomology When Defining the de Rham Cohomology of a Smooth Scheme over $k$?
2 answers
12 votes
1k views
9 bookmarks
What is the best reference for motives?
1 answers
12 votes
3k views
15 bookmarks
Why are Galois Representations so important in Number theory ?
0 answers
10 votes
235 views
2 bookmarks
How many partition values are expected to be prime?
0 answers
10 votes
469 views
6 bookmarks
intuition about perverse sheaves
2 answers
8 votes
496 views
1 bookmarks
A very elementary question on the definition of sheaf on a site