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F-algebra
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571	More Exercises for Algebraic Topology by Allen Hatcher Chapter[removed]Given a map f : X →Y , show that there exists a map g : Y →X with gf ≃ 11 iff X is a retract of the mapping cylinder Mf[removed]a) Suppose a CW co Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-03-18 16:11:29 Mathematics Homotopy theory CW complex Fundamental group Homotopy group Mayer–Vietoris sequence Homotopy Singular homology Covering space Topology Abstract algebra Algebraic topology
572	On the Incompressibility of Monotone DNFs Matthias P. Krieger∗ Johann Wolfgang Goethe-Universit¨at Frankfurt am Main Institut f¨ ur Informatik Lehrstuhl f¨ Add to Reading List Source URL: www.thi.informatik.uni-frankfurt.de Language: English - Date: 2010-11-03 11:40:59 Circuit complexity Computational complexity theory Boolean algebra Complexity classes Implicant Logic in computer science Boolean circuit Circuit ACC0 Theoretical computer science Mathematics Applied mathematics
573	CYCLES OF QUADRATIC POLYNOMIALS AND RATIONAL POINTS ON A GENUS 2 CURVE E. V. FLYNN, BJORN POONEN, AND EDWARD F. SCHAEFER Abstract. It has been conjectured that for N sufficiently large, there are no quadratic polynomials Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Field theory Analytic number theory Algebraic number theory Vector bundles Elliptic curve Algebraic number field Polynomial Ample line bundle Abstract algebra Algebra Mathematics
574	Two 2-traces Simon Willerton University of Sheffield Tr& (f ) := Add to Reading List Source URL: www.simonwillerton.staff.shef.ac.uk Language: English - Date: 2008-12-03 15:25:51 Monoidal categories Category theory Abstract algebra Functor Trace Dual Tensor product Monoid Morphism Algebra Mathematics Linear algebra
575	p-ADIC L-FUNCTIONS AND EULER SYSTEMS: A TALE IN TWO TRILOGIES MASSIMO BERTOLINI, FRANCESC CASTELLA, HENRI DARMON SAMIT DASGUPTA, KARTIK PRASANNA, VICTOR ROTGER Abstract. This article surveys six different special value f Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2014-06-19 17:27:36 Number theory Algebraic number theory Dirichlet character Cyclotomic fields Dirichlet L-function P-adic L-function Cyclotomic character Symbol Modular form Abstract algebra Mathematics Mathematical analysis
576	A SHINTANI-TYPE FORMULA FOR GROSS–STARK UNITS OVER FUNCTION FIELDS SAMIT DASGUPTA ALISON MILLER Abstract. Let F be a totally real number field of degree n, and let H be a finite abelian extension of F . Let p denote a Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2009-09-15 17:09:34 Field theory Algebraic number theory Algebraic number field Brumer–Stark conjecture Finite field Field Dirichlet series Frobenius endomorphism Spectral theory of ordinary differential equations Abstract algebra Algebra Mathematics
577	HOMOGENEOUS SPACES AND DEGREE 4 DEL PEZZO SURFACES E.V. FLYNN Abstract. It is known that, given a genus 2 curve C : y 2 = f (x), where f (x) is quintic and defined over a field K, of characteristic different from 2, and Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:28 Mathematical analysis Algebra Algebraic number theory Quantum field theory Dyadic cubes Abstract simplicial complex Abstract algebra Genus of a multiplicative sequence Harmonic analysis
578	Traces in low-dimensional algebra Simon Willerton University of Sheffield Tr& (f ) := Tr (f ) := Add to Reading List Source URL: www.simonwillerton.staff.shef.ac.uk Language: English - Date: 2013-09-03 07:35:50 Algebra 2-category Functor Natural transformation Bimodule Category Product Enriched category Fibred category Category theory Abstract algebra Higher category theory
579	A Qualifying Exam Question Show that every element in a ﬁnite ﬁeld F is a sum of two squares in that ﬁeld. We approach the question in cases: F is characteristic 2: In characteristic 2, a2 C b 2 D .a C b/2 , so Add to Reading List Source URL: www.untruth.org Language: English - Date: 2014-03-18 21:05:25 Ring theory Morphisms Ring homomorphism Ring Kernel Abstract algebra Algebra Mathematics
580	Lagrange Multipliers and the Rayleigh Quotient Our goal is to find the extremum of the function f (x) : Rn → R subject to the constraints hi (x) = 0 for i = [removed]m (hi : Rn → R). Theorem (Lagrange multipliers): I Add to Reading List Source URL: www.cs.huji.ac.il Language: English - Date: 2007-01-28 05:57:15 Abstract algebra Mathematical optimization Rayleigh quotient Eigenvalues and eigenvectors Lagrange multiplier Derivative Vector space Algebra Mathematics Linear algebra

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