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Longer titles found: Equivariant algebraic K-theory (view), Fundamental theorem of algebraic K-theory (view), Basic theorems in algebraic K-theory (view)

searching for Algebraic K-theory 66 found (227 total)

alternate case: algebraic K-theory

Mariusz Wodzicki (361 words) [view diff] case mismatch in snippet view article find links to article

of California, Berkeley, whose works primarily focus on analysis, algebraic k-theory, noncommutative geometry, and algebraic geometry. Wodzicki was born

Wilberd van der Kallen (567 words) [view diff] exact match in snippet view article find links to article

eventually becoming a tenured professor. His research deals with algebraic K-theory and the representation theory of algebraic groups, among other topics

Atiyah–Segal completion theorem (429 words) [view diff] exact match in snippet view article find links to article

respect to families of subgroups. The corresponding statement for algebraic K-theory was proven by Alexander Merkurjev, holding in the case that the group

Amalendu Krishna (592 words) [view diff] exact match in snippet view article find links to article

recognition of Krishna's outstanding contributions in the area of algebraic K-theory, algebraic cycles and the theory of motives. In his work, Krishna

Karoubi conjecture (181 words) [view diff] exact match in snippet view article find links to article

MR 0548119 Suslin, Andrei A.; Wodzicki, Mariusz (1990), "Excision in algebraic K-theory and Karoubi's conjecture", Proceedings of the National Academy of

Guido Mislin (953 words) [view diff] case mismatch in snippet view article find links to article

also conducted research in the field of cohomology of groups and algebraic K-Theory of group rings. He has published over 90 research articles and several

Perfect complex (562 words) [view diff] exact match in snippet view article find links to article

MR 0354655. Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups". Inventiones Mathematicae. 211 (2): 523–577

Don Zagier (1,269 words) [view diff] case mismatch in snippet view article find links to article

Zagier, Don (1991). "Polylogarithms, Dedekind Zeta Functions, and the Algebraic K-Theory of Fields". Arithmetic Algebraic Geometry. Boston, MA: Birkhäuser

Henri Gillet (473 words) [view diff] case mismatch in snippet view article find links to article

Harvard University under David Mumford with thesis Applications of Algebraic K-Theory to Intersection Theory. As a postdoc he was an instructor and from

Symbol (number theory) (885 words) [view diff] exact match in snippet view article

symbol A sort of generalization of the Steinberg symbol to higher algebraic K-theory. It takes a Milnor K-group to an étale cohomology group. Contou-Carrère

Wu-Chung Hsiang (679 words) [view diff] exact match in snippet view article find links to article

Speaker in 1983 in Warsaw, with a talk on Geometric applications of algebraic K-theory. In 2005 there was a conference at Stanford University in honor of

Jouanolou's trick (1,000 words) [view diff] exact match in snippet view article find links to article

Springer, Berlin, 1973. Weibel, Charles A, Homotopy algebraic K-theory. In Algebraic K-theory and algebraic number theory (Honolulu, HI, 1987), volume

Connective spectrum (56 words) [view diff] case mismatch in snippet view article find links to article

are zero. Kuku, Aderemi (2006), Representation Theory and Higher Algebraic K-Theory, CRC Press, p. 96, ISBN 9781584886037. connective spectrum at the

Module spectrum (103 words) [view diff] exact match in snippet view article find links to article

module being defined as a compact object in the ∞-category of module spectra.) G-spectrum J. Lurie, Lecture 19: Algebraic K-theory of Ring Spectra v t e

Vasudevan Srinivas (446 words) [view diff] exact match in snippet view article find links to article

singularities (in collaboration with Vikram Mehta). Srinivas's book on "Algebraic K-theory" which grew out of his lectures on the topic at TIFR in 1986-87 is

Milnor conjecture (K-theory) (383 words) [view diff] exact match in snippet view article

ISBN 978-0-8218-3847-1, MR 2242284 Milnor, John Willard (1970), "Algebraic K-theory and quadratic forms", Inventiones Mathematicae, 9 (4): 318–344, Bibcode:1970InMat

John Coleman Moore (427 words) [view diff] case mismatch in snippet view article find links to article

May 1958. p. 14. Browder, William (1987). Algebraic Topology and Algebraic K-Theory: Proceedings of a Conference, October 24-28, 1983 at Princeton University

Homotopy group with coefficients (126 words) [view diff] exact match in snippet view article find links to article

the usual homotopy groups of X. Weibel 2013, Ch. IV. Definition 2.1 Weibel, Charles (2013). "The K-book: An introduction to algebraic K-theory". v t e

Mitchell's embedding theorem (655 words) [view diff] exact match in snippet view article find links to article

theorem for exact categories is almost identical. R. G. Swan (1968). Algebraic K-theory, Lecture Notes in Mathematics 76. Springer. doi:10.1007/BFb0080281

William Browder (mathematician) (496 words) [view diff] case mismatch in snippet view article

vol. 65, Springer-Verlag, Berlin (1972) "Algebraic Topology and Algebraic K-Theory", Princeton University Press, 1987, ISBN 0-691-08426-2 Seminal papers

Malcev Lie algebra (445 words) [view diff] exact match in snippet view article find links to article

of mixed Hodge structures. Goodwillie, Thomas G. (1986), "Relative algebraic K-theory and cyclic homology", Annals of Mathematics, Second Series, 124 (2):

Automorphism group (1,687 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-387-90244-9, MR 0463157 Milnor, John Willard (1971). Introduction to algebraic K-theory. Annals of Mathematics Studies. Vol. 72. Princeton, NJ: Princeton

Groupoid object (850 words) [view diff] exact match in snippet view article find links to article

stacks and Q-varieties", Proceedings of the Luminy conference on algebraic K-theory (Luminy, 1983), Journal of Pure and Applied Algebra, 34 (2–3): 193–240

Kazuya Kato (347 words) [view diff] exact match in snippet view article find links to article

higher-dimensional generalisations of local class field theory using algebraic K-theory. His theory was then extended to higher global class field theory

Burnside category (485 words) [view diff] exact match in snippet view article find links to article

spectra". arXiv:1110.3571 [math.AT]. Barwick, Clark (2014). "Spectral Mackey functors and equivariant algebraic K-theory (I)". arXiv:1404.0108 [math.AT].

Wolfgang Lück (553 words) [view diff] exact match in snippet view article find links to article

include Thomas Schick. Lück, Wolfgang (1989). Transformation groups and algebraic K-theory. Berlin New York: Springer-Verlag. ISBN 978-3-540-51846-4. OCLC 20860359

Dieudonné determinant (492 words) [view diff] exact match in snippet view article find links to article

ISSN 0037-9484, MR 0012273, Zbl 0028.33904 Rosenberg, Jonathan (1994), Algebraic K-theory and its applications, Graduate Texts in Mathematics, vol. 147, Berlin

Seminormal ring (263 words) [view diff] exact match in snippet view article find links to article

arXiv:0906.3334, doi:10.1007/978-1-4419-6990-3_17, ISBN 978-1-4419-6989-7, MR 2762521 Charles Weibel, The K-book: An introduction to algebraic K-theory v t e

Monoidal category action (133 words) [view diff] exact match in snippet view article find links to article

Definition 4.7. Weibel, Charles (2013). The K-book: an introduction to algebraic K-theory. Graduate Studies in Math. Vol. 145. American Mathematical Society

Leroy P. Steele Prize (2,236 words) [view diff] exact match in snippet view article find links to article

forms (1973), and four of his papers: K_0 and K_1-an introduction to algebraic K-theory (1975), Ten lectures on quadratic forms over fields (1977), Serre's

Exact category (1,382 words) [view diff] exact match in snippet view article find links to article

S2CID 6945014. Appendix A. Exact Categories Quillen, Daniel (1972). Higher algebraic K-theory I. Lecture Notes in Mathematics. Vol. 341. Springer. pp. 85–147. doi:10

Fibration of simplicial sets (220 words) [view diff] case mismatch in snippet view article find links to article

4960 [math.CT]. Ch. 2 of Lurie's Higher Topos Theory. Lurie, J. (2009). "Lecture 9 of Algebraic K-Theory and Manifold Topology (Math 281)" (PDF). v t e

List of conjectures (1,566 words) [view diff] exact match in snippet view article find links to article

theory Spencer Bloch and Alexander Beilinson 152 Bloch–Kato conjecture algebraic K-theory Spencer Bloch and Kazuya Kato 1620 Bochner–Riesz conjecture harmonic

Lowell E. Jones (337 words) [view diff] case mismatch in snippet view article find links to article

Thomas; Jones, Lowell E. (Apr 1993). "Isomorphism Conjectures in Algebraic K-Theory". Journal of the American Mathematical Society. 2 (6): 249–297. doi:10

Jonathan Rosenberg (mathematician) (567 words) [view diff] case mismatch in snippet view article

of the AMS (1988-1992). He was a Sloan Fellow from 1981 to 1984. Algebraic K-Theory and its Applications, Graduate Texts in Mathematics, Springer Verlag

Artinian ring (1,252 words) [view diff] exact match in snippet view article find links to article

(PDF) on 2010-12-14. Milnor, John Willard (1971), Introduction to algebraic K-theory, Annals of Mathematics Studies, vol. 72, Princeton, NJ: Princeton

F. Thomas Farrell (557 words) [view diff] exact match in snippet view article find links to article

Thomas Farrell; L. E. Jones (1993), "Isomorphism conjectures in algebraic K-theory", Journal of the American Mathematical Society, 6 (2): 249–297, doi:10

Quotient space of an algebraic stack (232 words) [view diff] exact match in snippet view article find links to article

algebraic stacks and Q-varieties, J. Pure Appl. Algebra 34 (1984), 193–240, Proceedings of the Luminy conference on algebraic K-theory (Luminy, 1983). v t e

Uwe Jannsen (497 words) [view diff] exact match in snippet view article find links to article

} , pp. 315–360. Springer, New York, NY, 1989. Mixed motives and algebraic K-theory, Lecture Notes in Mathematics vol. 1400, Springer Verlag 1990 (with

Grothendieck topology (4,507 words) [view diff] exact match in snippet view article find links to article

associated descent spectral sequences in algebraic K-theory". In Jardine, J. F.; Snaith, V. P. (eds.). Algebraic K-theory: connections with geometry and topology

Hilbert symbol (1,571 words) [view diff] exact match in snippet view article find links to article

ISBN 0-8218-1095-2, Zbl 1068.11023 Milnor, John Willard (1971), Introduction to algebraic K-theory, Annals of Mathematics Studies, vol. 72, Princeton University Press

Andreas Thom (mathematician) (454 words) [view diff] exact match in snippet view article

Cortiñas, Guillermo; Thom, Andreas (26 September 2007). "Bivariant algebraic K-theory". Journal für die reine und angewandte Mathematik. 2007 (610): 71–123

Bott periodicity theorem (1,836 words) [view diff] case mismatch in snippet view article find links to article

Q-construction", in Banaszak, Grzegorz; Gajda, Wojciech; Krasoń, Piotr (eds.), Algebraic K-Theory, Contemporary Mathematics, vol. 199, American Mathematical Society

Arthur Bartels (443 words) [view diff] exact match in snippet view article find links to article

Lowell; Reich, Holger (2004). "On the Isomorphism Conjecture in algebraic K-theory". Topology. 43: 157–213. arXiv:math/0108139. doi:10.1016/s0040-9383(03)00032-6

Connected space (3,818 words) [view diff] exact match in snippet view article find links to article

ISBN 0-89874-551-9. Charles Weibel, The K-book: An introduction to algebraic K-theory Brandsma, Henno (February 13, 2013). "How to prove this result involving

Unitary group (3,343 words) [view diff] case mismatch in snippet view article find links to article

Groups, p. 103 Bak, Anthony (1969), "On modules with quadratic forms", Algebraic K-Theory and its Geometric Applications (editors—Moss R. M. F., Thomas C. B

Stephen M. Gersten (729 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-06434-3. Brown, Kenneth S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". Higher K-Theories. Lecture Notes

Graduate Texts in Mathematics (4,909 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Sketchbook, Douglas S. Bridges (1994, ISBN 978-0-387-94174-5) Algebraic K-Theory and Its Applications, Jonathan Rosenberg (1994, ISBN 978-0-387-94248-3)

Dilogarithm (1,666 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-30308-4. Bloch, Spencer J. (2000). Higher regulators, algebraic K-theory, and zeta functions of elliptic curves. CRM Monograph Series. Vol

Graduate Studies in Mathematics (4,546 words) [view diff] exact match in snippet view article find links to article

(2012, ISBN 978-0-8218-9118-6) 145 The K-book: An Introduction to Algebraic K-theory, Charles A. Weibel (2013, ISBN 978-0-8218-9132-2) 146 Combinatorial

Chow group of a stack (1,446 words) [view diff] exact match in snippet view article find links to article

S2CID 119617049 Totaro, Burt (1999), "The Chow ring of a classifying space, Algebraic K-theory", Proc. Sympos. Pure Math, vol. 67, American Mathematical Society

Dirichlet's unit theorem (1,756 words) [view diff] exact match in snippet view article find links to article

Cohen 1993, Table B.4 Bloch, Spencer J. (2000). Higher regulators, algebraic K-theory, and zeta functions of elliptic curves. CRM Monograph Series. Vol

Ideal (ring theory) (6,347 words) [view diff] exact match in snippet view article

ISBN 1-4020-2690-0. Milnor, John Willard (1971). Introduction to algebraic K-theory. Annals of Mathematics Studies. Vol. 72. Princeton, NJ: Princeton

Witt group (3,169 words) [view diff] exact match in snippet view article find links to article

174 Lam (2005) p.175 Lam (2005) p.178 Milnor, John Willard (1970), "Algebraic K-theory and quadratic forms", Inventiones Mathematicae, 9 (4): 318–344, doi:10

Tomer Schlank (565 words) [view diff] exact match in snippet view article find links to article

(2023). "Descent and Cyclotomic Redshift for Chromatically Localized Algebraic K-theory". arXiv:2309.07123 [math.KT]. Barthel, Tobias; Schlank, Tomer; Stapleton

Chow group (4,195 words) [view diff] exact match in snippet view article find links to article

Finiteness of these ranks would also follow from the Bass conjecture in algebraic K-theory. For a smooth complex projective variety X, the Hodge conjecture predicts

Riemann zeta function (10,583 words) [view diff] exact match in snippet view article find links to article

is known, although these values are thought to be related to the algebraic K-theory of the integers; see Special values of L-functions. For nonpositive

Stiefel–Whitney class (4,074 words) [view diff] exact match in snippet view article find links to article

Chicago Press, retrieved 2009-08-07 Milnor, John Willard (1970), "Algebraic K-theory and quadratic forms", Inventiones Mathematicae, 9, With an appendix

Combinatorial mirror symmetry (845 words) [view diff] exact match in snippet view article find links to article

"Multidimensional hypergeometric functions in conformal field theory, algebraic K-theory, algebraic geometry", Proc. ICM-90, 281–300. L. Borisov (1994), "Towards

Ring (mathematics) (13,673 words) [view diff] exact match in snippet view article

ISBN 9783540373704 Weibel, Charles A. (2013), The K-book: An Introduction to Algebraic K-theory, Graduate Studies in Mathermatics, vol. 145, American Mathematical

List of women in mathematics (22,925 words) [view diff] exact match in snippet view article find links to article

Geller, American mathematician with interdisciplinary interests in algebraic K-theory, bioinformatics, and biostatistics Hélyette Geman, French researcher

Spectral sequence (10,702 words) [view diff] exact match in snippet view article find links to article

singularity theory. Bloch–Lichtenbaum spectral sequence converging to the algebraic K-theory of a field. Frölicher spectral sequence starting from the Dolbeault

Derived noncommutative algebraic geometry (4,702 words) [view diff] case mismatch in snippet view article find links to article

{E}}''\to {\mathcal {E}}[+1]} Thomason, R.W.; Trobaugh, Thomas. "Higher Algebraic K-Theory of Schemes and of Derived Categories" (PDF). Archived (PDF) from the

Colloquium Lectures (AMS) (2,186 words) [view diff] exact match in snippet view article

Geometric measure theory. 1978 Hyman Bass (Columbia University): Algebraic K-theory. 1979 Phillip Griffiths (Harvard University): Complex analysis and

Glossary of algebraic topology (7,621 words) [view diff] case mismatch in snippet view article find links to article

Michael Hopkins and Notes by Akhil Mathew, Harvard. Lurie, J. (2015). "Algebraic K-Theory and Manifold Topology". Math 281. Harvard University. Lurie, J. (2011)

List of University of Michigan alumni (24,052 words) [view diff] exact match in snippet view article find links to article

Charles Weibel (born October 28, 1950), mathematician working on algebraic K-theory, algebraic geometry and homological algebra A number of Michigan graduates