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Algebraic K-theory
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221	INTRODUCTION TO ALGEBRAIC GEOMETRY STEVEN DALE CUTKOSKY Throughout these notes all rings will be commutative with identity. k will be an algebraically closed field. 1. Preliminaries on Ring Homomorphisms Lemma 1.1. Suppo Add to Reading List Source URL: www.math.missouri.edu Language: English - Date: 2012-05-02 14:27:36 Ring theory Algebraic geometry Commutative algebra Algebraic structures Mathematical structures Algebraic variety Polynomial ring Finite morphism Integral element Abstract algebra Algebra Mathematics
222	Contemporary Mathematics What we still don’t know about loop spaces of spheres Douglas C. Ravenel University of Rochester Abstract. We describe a program for computing the Morava K-theory of Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2004-04-27 12:27:38 Algebraic topology Algebra Homotopy groups of spheres Steenrod algebra Eilenberg–MacLane space Spectral sequence Spectrum EHP spectral sequence Eilenberg–Moore spectral sequence Abstract algebra Topology Homotopy theory
223	Vanishing of the µ–invariant of p–adic Hecke L–functions Haruzo Hida Abstract We prove vanishing of the µ-invariant of the p-adic Katz L-function in [K]. 1. Introduction Add to Reading List Source URL: www.math.ucla.edu Language: English - Date: 2011-06-29 17:42:30 Field theory Symbol Valuation Algebraic number field Modular form Spectral theory of ordinary differential equations Beta code Abstract algebra Algebra Mathematics
224	ROBERT W. THOMASON 1952–1995 Charles A. Weibel Like many of his colleagues, Bob Thomason hated to waste energy on trivial Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-04-05 12:54:37 Homotopy theory Algebraic topology Algebraic geometry Homological algebra Spectrum Algebraic K-theory Homotopy group Homology theory CW complex Abstract algebra Topology Mathematics
225	TRACE PALEY-WIENER THEOREM FOR REDUCTIVE p-ADIC GROUPS By J. BERNSTEIN, * P. D E L I G N E A N D D. K A Z H D A N t Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2014-01-18 13:34:19 Group theory Homological algebra Representation theory Harmonic analysis Algebraic number theory Sheaf Group action Grothendieck group Presentation of a group Abstract algebra Algebra Mathematics
226	Exercises Chapter 1 1. What are the primary ideals of Z? 2. Let R = k[x, y] where k is a ﬁeld. Show that Q = (x, y 2 ) is P -primary, and identify P. 3. Continuing Problem 2, show that Q is not a power of a prime ideal Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-09 00:09:54 Commutative algebra Algebraic structures Module theory Localization Local ring Completion Noetherian ring Ideal Ring Abstract algebra Algebra Ring theory
227	Solutions to Problems Chapter 1 1. The primary ideals are (0) and (pn ), p prime[removed]R/Q ∼ = k[y]/(y 2 ), and zero-divisors in this ring Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2007-06-09 00:11:02 Algebraic structures Field theory Commutative algebra Localization Prime ideal Ideal Ring homomorphism Valuation ring Local ring Abstract algebra Algebra Ring theory
228	Topics in Noncommutative Geometry Clay Mathematics Proceedings Volume 16 Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-04 05:56:30 Mathematics Noncommutative geometry KK-theory Alain Connes Spectral triple Operator K-theory Homological algebra Baum–Connes conjecture C*-algebra Abstract algebra K-theory Algebraic topology
229	Contents[removed]January 1, 2, 3: More on p-groups. January 12: K-groups for a curve over a finite field. January 15: Cohomology of GLn (Λ) where Λ is a discrete valuation ring with [Λ : Zp ] < ∞. January 17: Sp Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:26:15 K-theory Sheaf Cohomology Characteristic class Étale cohomology Principal bundle Homology theory Ample line bundle Chern class Abstract algebra Topology Algebraic topology
230	Contents[removed]January 2: On GLn (K) where K is a local field of characteristic p. Compute H ∗ (GLn (K), F` ), where ` 6= p. January 4: Continuous group actions, associated nerves and cochain complexes. January 2 Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:26:38 Mathematics Algebraic topology Homotopy group Algebraic K-theory Nerve Fundamental group Simplicial set CW complex Characteristic class Topology Abstract algebra Homotopy theory

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