Tag: f-1

83 What is the field with one element? 2009-10-24T15:41:09.997

74 Riemann hypothesis via absolute geometry 2011-07-03T10:00:54.347

43 Connections between various generalized algebraic geometries (Toen-Vaquié, Durov, Diers, Lurie)? 2012-02-25T10:26:56.037

31 Topological Langlands? 2009-11-30T15:32:20.337

30 Analogies supporting heuristic: Weyl groups = algebraic groups over field with one element? 2017-06-18T20:17:38.823

27 Tomita-Takesaki versus Frobenius: where is the similarity? 2011-06-20T08:12:06.383

27 Is the moduli space of curves defined over the field with one element? 2012-01-01T22:45:49.010

26 Tannaka formalism and the étale fundamental group 2010-05-07T14:37:08.147

25 What are the points of simple algebraic groups over extensions of $\mathbb{F}_1$? 2017-06-21T12:14:08.563

23 What is the algebraic closure of the field with one element? 2009-11-23T02:03:27.957

23 A geometric theory of Blueprints? (Algebras over the field with one element) 2015-12-12T22:04:57.600

22 The non-simplicity of $SO(4)$ and $A_4$ 2013-10-16T19:38:43.720

22 Fundamental theorem of K-theory for loop groups over $\mathbb{F}_1$? 2014-05-17T19:07:40.740

20 Applications of algebraic geometry over a field with one element 2010-05-04T01:33:53.350

20 How is Borger's approach to $\mathbb{F_{1}}$ related to previous approaches (e.g. Deitmar's)? 2017-11-22T08:02:41.640

19 Homological Algebra for Commutative Monoids? 2009-10-13T16:23:02.830

18 Field with one element example? 2011-07-06T00:28:31.217

17 K(F_1) = sphere spectrum? 2009-10-21T11:02:49.757

15 Are there F_un Lie algebras ? 2012-08-22T19:26:14.697

14 Elliptic Curves over F_1? 2009-12-08T14:43:15.383

14 What does Faltings' theorem look like over function fields? 2009-12-28T21:33:24.717

14 Why does the Gamma function satisfy a functional equation? 2010-02-05T06:33:34.853

14 The symmetric group and the field with one element 2013-01-09T16:08:47.487

14 Connes' idea to use the hyperfinite $III_1$ factor for the archimedian place of Spec(Z)? 2014-05-10T06:37:10.163

12 Are centrally extended p-adic groups defined over F_1? 2010-05-13T18:04:11.870

12 What "should" be the absolute galois group of a field with one element 2016-12-28T18:09:11.633

11 Is an ordinary scheme in Borger's Absolute Geometry the same as a "scheme over F1" with a map to Spec(Z)? 2016-08-30T08:32:57.493

10 What is $\overline{\text{Spec}\mathbb{Z}}$? 2009-11-19T07:50:56.590

10 Is $Lex(\mathcal B,\mathsf{Set}_*)$ an $\mathbb F_1$-linear category? 2014-01-30T23:55:50.467

10 Gauss, Jacobi, Kloosterman sums and representation theory in the $\mathbb F_1$-world 2017-03-19T10:55:50.583

10 Bijection between conjugacy classes and irreducible representation of Weyl group = Langlands correspondence over "field with one element" 2017-05-28T20:10:50.930

10 Buildings, projective geometry - what led Tits to think of "the field with one element"? 2017-07-01T20:32:33.750

10 Inter-Universal Teichmuller Theory and the Field with One Element 2017-09-22T14:23:47.033

9 What are the analogs of a Levi/Parabolic/Borel/Bruhat over the field with 1 element? 2017-12-25T13:08:18.090

6 What should Spec Z[\sqrt{D}] x_{F_1} Spec \bar{F_1} be? 2009-11-24T01:01:24.273

6 Invertible elements in generalized fields 2012-01-29T15:03:17.163

6 Laurent and power series over the field with one element? 2015-09-15T17:16:56.847

6 What is known about the $q$-analogue of the simplex? 2016-06-21T22:53:32.647

5 Are the closures of the tori in the decomposition of a torified variety toric varieties? 2011-08-30T00:26:41.853

5 The logarithm over $\mathbb F_1$ 2014-03-28T13:53:07.960

5 Descent of flatness from algebras to monoids 2016-10-31T13:28:13.880

5 Field with one element look at counting index-$n$ subgroups in terms of Homs to $S_n$, generalization to $F_{1^k}$? 2017-07-15T21:37:23.020

4 Connected components of schemes over $\mathbb{F}_1$ 2012-02-03T17:51:01.483

3 affine and projective schemes over $\mathbf{F}_1$? 2012-05-09T11:47:45.240

3 Categorizing epimorphisms in $\mathscr{L}ex(\mathcal{B}^{Str},\mathsf{Set}_*)$ 2014-02-27T23:02:56.090

3 Can MacLane's notion of universality inform $\mathbb{F}_1$? 2017-03-06T15:29:31.127

2 Spec$\mathbb{Z}$ in absolute geometry 2012-01-04T11:33:30.893

2 Coproducts of modules over an algebraic monad 2012-01-27T09:49:07.990

2 Are binomial coefficients $F_1$ analogs of $q$-binomial coefficients? 2015-01-13T20:30:29.400

1 Terminology for certain monoids which are to monoids like fields are to rings 2012-02-09T17:19:28.677

1 What is the significance of the $-1$-simplex? 2016-08-14T22:22:27.970