problem_number large_stringlengths 4 34 | title large_stringlengths 8 149 | statement large_stringlengths 20 16.9k | background large_stringlengths 395 52.6k | status large_stringclasses 3
values | difficulty_level large_stringclasses 5
values | difficulty_num int64 1 5 | category large_stringclasses 17
values | set_name large_stringclasses 12
values | proposed_by large_stringclasses 290
values | proposed_year float64 1.74k 2.03k ⌀ | view_count int64 0 2.34k | favorite_count int64 0 156 | split large_stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
AIM-OTHER-0163 | Arithmeticity of groups generated by opposite unipotent lattices | Conjecture 54 (G. Margulis, A. Selberg). If the group 〈Γ+, Γ−〉 is discrete, then it an arithmetic lattice in G.
It was observed in [151] that | Collected from the canonical American Institute of Mathematics problem corpus and paired with a validated per-problem research attempt.
Source collection: AIM Problem Lists
Source type: PDF
AIM domain: Other
Workshop: Emerging applications of measure rigidity
Section:
Source item: 54
Source URL: https://aimath.org/WWN... | solved | L3: Advanced | 3 | Miscellaneous | AIM Workshop Problem Lists | null | null | 0 | 0 | train |
AIM-OTHER-0164 | Dimension correction and unconditional arithmeticity bridge | Conjecture 54 for k ≥ 3 follows from | Collected from the canonical American Institute of Mathematics problem corpus and paired with a validated per-problem research attempt.
Source collection: AIM Problem Lists
Source type: PDF
AIM domain: Other
Workshop: Emerging applications of measure rigidity
Section:
Source item: 54
Source URL: https://aimath.org/WWN... | solved | L3: Advanced | 3 | Miscellaneous | AIM Workshop Problem Lists | null | null | 0 | 0 | train |
AIM-OTHER-0166 | A cusp obstruction and periodic arithmetic tiling models | Question 55 (S. Katok). Construct analogs of the geometric coding and the arithmetic codings for the Weyl chamber flow (i.e., the action the diagonal group) on SL( n, R)/SL( n, Z).
It was pointed out by B. Weiss that an interesting symbolic coding for the Weyl chamber flow was used in [181], where a (wrong) proof of t... | Collected from the canonical American Institute of Mathematics problem corpus and paired with a validated per-problem research attempt.
Source collection: AIM Problem Lists
Source type: PDF
AIM domain: Other
Workshop: Emerging applications of measure rigidity
Section:
Source item: 55
Source URL: https://aimath.org/WWN... | partially_solved | L3: Advanced | 3 | Miscellaneous | AIM Workshop Problem Lists | null | null | 0 | 0 | train |
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