Tag: algebraic-k-theory

76 Motivation for algebraic K-theory? 2009-10-12T17:59:37.903

48 Which of Quillen's Papers Should I read? 2011-05-06T04:34:32.573

48 What arithmetic information is contained in the algebraic K-theory of the integers 2013-05-05T19:24:51.653

36 Why is Milnor K-theory not ad hoc? 2009-11-05T11:31:50.117

30 How much linear algebra can be done with graphs? 2011-06-17T23:30:54.990

27 Is every ''group-completion'' map an acyclic map? 2012-10-14T11:51:18.433

27 A modern interpretation of Quillen's computation of the K theory of finite fields 2016-08-04T22:38:15.303

26 Why is Riemann-Roch for stacks so hard? 2010-05-19T10:12:35.170

26 When is $SL(n,R) \rightarrow SL(n,R/q)$ surjective? 2011-10-18T01:02:00.207

26 Spectral sequences in $K$-theory 2017-08-01T18:33:18.580

23 Does Milnor K-Theory arise from Waldhausen K-Theory 2009-12-18T22:09:44.310

23 Quillen's motivation of higher algebraic K-theory 2014-03-31T07:17:01.813

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

21 Motivation/interpretation for Quillen's Q-construction? 2009-10-18T05:48:07.350

21 Morava on Shafarevich 2010-09-23T01:55:26.127

21 Group with finite outer automorphism group and large center 2015-05-14T15:30:45.967

21 Is this a model for $K$-theory of a triangulated category? 2016-04-20T07:12:43.747

19 Plus construction considerations. 2013-02-09T18:02:08.447

19 Can topological cyclic homology compute Picard groups? 2015-04-23T19:52:37.163

18 What is a path in K-theory space? 2010-09-01T12:43:41.693

18 References for $K_{4k}(\mathbb{Z})$ 2014-11-16T01:09:27.670

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

17 Who first noticed that the Hilbert symbol is a Steinberg symbol ? 2012-08-29T03:58:53.433

17 Does the ring $R = \mathbb{Z}[X^{\pm1}]$ of Laurent polynomials over $\mathbb{Z}$ satisfy $SL_2(R) = E_2(R)$? 2016-05-30T22:21:00.407

16 What's about "quantum modular forms"? 2011-01-04T15:48:51.933

16 "Must read" papers in algebraic K-theory? 2011-02-05T08:46:02.320

16 universal cover of SL2(R): does it admit central extensions? 2011-04-30T14:45:09.793

16 Besides F_q, for which rings R is K_i(R) completely known? 2014-04-19T15:57:55.763

16 Is there an ∞-categorical interpretation of the Quillen S⁻¹S construction? 2015-11-29T12:30:29.327

16 K-theory and homology of groups 2017-07-08T08:39:49.890

15 Values of zeta at odd positive integers and Borel's computations 2010-09-09T16:11:46.447

15 Can anyone explain to me what is an assembly map? 2012-03-02T04:20:36.303

15 Epsilon factors - a la Beilinson - What is it? 2014-05-11T13:35:50.880

15 Is SL(n,Z[x]) generated by transvections? 2015-09-24T07:59:35.417

15 Voevodsky's Triangulated Categories of Motives and their Relationships 2016-09-05T12:44:14.807

14 Is Higher K-functor the derived functor of K0? 2010-01-11T11:10:48.150

14 Link: Serre's intersection formula <-> Bloch-Quillen Thm / When only intersecting divisors, is there 'shorter' approach of proof known? 2010-02-08T04:32:17.310

14 Can we decompose Diff(MxN)? 2010-03-13T05:44:33.227

14 Why does the Grothendieck group $K_0(R)$ of a ring not depend on our choice of using left modules instead of right modules? 2010-11-19T06:51:12.520

14 What does taking the graded algebra do to the Grothendieck group, and its relation to the Chow ring? 2015-09-18T23:25:30.403

14 Geometric Meaning of Different K-theories 2016-09-06T01:39:16.840

14 For which rings R is SL_n(R) generated by its n-1 fundamental copies of SL_2(R)? 2017-03-30T10:26:39.490

13 Algebraic K-theory and Homotopy Sheaves 2013-05-31T23:20:21.613

13 A looping of algebraic K-theory 2014-04-24T18:39:08.577

13 What is the coefficient ring of algebraic K theory of the discrete $\mathbb{C}$? 2014-05-13T07:46:57.707

13 Homotopy groups of Fredholm operators 2014-08-19T16:08:29.657

13 Is there a category whose isomorphisms are precisely the simple homotopy equivalences? 2014-11-16T01:31:10.803

13 Simplest example of failure of finite Galois descent in algebraic $K$-theory? 2016-05-20T16:54:16.923

13 $K$-theory backwards 2017-12-13T17:15:21.523

12 Stable Homology of arithmetic groups. 2009-11-01T20:07:18.563

12 Rationalised K-theory of number fields 2011-05-21T09:17:02.143

12 Why was it reasonable to ask what the higher K-groups are? 2011-06-12T18:50:53.320

12 Motivic cohomology and cohomology of Milnor K-theory sheaf 2013-02-17T15:40:58.713

12 Bass's paper "Symplectic groups and modules", used in proof of the congruence subgroup property for Sp 2013-08-19T15:58:04.163

12 Symplectic K-theory 2015-02-17T09:01:05.340

12 The multiplication on $THH$ of finite fields 2015-05-22T19:21:15.600

12 Plugging $1-x$ into Schur polynomials 2016-01-21T23:46:23.547

12 Motivic $\mathbf{Z}(1)$ 2017-12-03T04:06:37.457

11 What is the difference between Grothendieck groups K_0(X) vs K^0(X) on schemes? 2010-04-21T21:34:51.703

11 Are there analogues of Beilinson's conjectures for motives with coefficients? 2010-04-22T10:04:26.560

11 Intersection of subvarieties versus ranks of Chow groups modulo numerical equivalences 2010-10-09T18:19:21.030

11 When are representation rings special lambda-rings? (variations of an old question) 2011-06-17T16:12:19.323

11 What is the Q-construction, metaphysically? 2013-04-25T22:55:46.163

11 Waldhausen $K$-theory for $G$-spaces 2013-05-16T12:10:19.420

11 Over which fields (of positive characteristic) is the Beilinson-Soulé vanishing conjecture known to hold? 2014-04-10T16:15:44.513

11 Equivalence of various definitions of arithmetic Chow groups 2015-04-02T17:45:46.847

11 Goodwillie's notes from MSRI Lecture Series 2015-12-01T06:27:47.733

11 Why presheaves with transfer? 2017-01-18T08:21:15.423

11 Reference to Chern classes in algebraic k theory 2017-05-17T17:40:01.447

10 algebraic K-theory and tensor products 2009-10-18T02:22:27.730

10 Is there a simple relationship between K-theory and Galois theory? 2010-01-09T03:17:30.977

10 Explicit description of boundary map in algebraic K-theory 2011-04-08T00:05:17.680

10 Eilenberg-Mazur swindle for higher K groups 2012-02-21T19:51:40.093

10 K-Theory space of finite abelian groups 2012-04-29T20:34:26.113

10 Rosenberg's proof of Bass-Heller-Swan 2012-05-27T12:14:04.223

10 Faltings-Riemann-Roch Theorem 2014-01-07T20:25:07.497

10 Bloch group, hyperbolic manifolds and rigidity 2014-08-01T09:06:48.073

10 Finiteness of torsion in $\mathcal{K}_2$-cohomology 2016-01-12T19:31:09.600

10 $K$-theory spectrum of the category of finite groups 2017-02-28T04:49:42.613

10 K-theory of an elliptic curve 2017-08-05T11:30:21.053

10 Poincaré duality for motivic cohomology 2017-12-20T21:19:07.337

9 Maps between K-groups induced by rings homomorphism 2009-12-18T21:22:25.373

9 Current status of a conjecture of Bloch 2011-08-12T16:20:47.147

9 Genus of smooth varieties with small Chow group 2011-09-25T04:27:09.060

9 f.g. modules vs. f.g. projective modules 2012-08-17T18:49:16.730

9 Geometrizing the Third Cohomology of a Complex Lie Group 2013-01-24T00:26:55.473

9 Is the generation of rings by their units a question in K-theory? 2013-10-24T05:00:06.957

9 Gersten complexes in Quillen's and Milnor's K-theories 2015-06-04T14:29:05.090

9 Algebraic K-theory of a ring. 2015-12-12T13:32:09.360

9 When does algebraic K theory behave like a cohomology theory 2015-12-22T09:19:54.357

9 Motivic cohomology of a point 2016-03-15T08:59:50.113

9 When do non-exact functors induce morphisms on $K$-theory? 2016-06-15T11:28:20.840

9 Relative Chow groups 2016-08-11T11:47:28.387

9 Do symmetric monoidal groupoids model all connective spectra? 2016-12-29T01:53:42.360

8 $K_0$ of a non-separated scheme 2010-03-06T14:56:51.147

8 Galois descent for K-groups (or for étale cohomology groups) 2011-05-05T03:31:58.230

8 Algorithm to calculate $Wh(G)$ for finitely presented group $G$? 2011-06-23T06:34:12.350

8 Nonnegative additive functions on coherent sheaves 2011-12-13T04:40:28.347

8 The K-theoretic Farrell-Jones conjecture for cat(0) groups 2012-02-22T18:20:46.347