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Conjecture
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#	Item
621	MIXED TATE MOTIVES OVER Z FRANCIS BROWN Abstract. We prove that the category of mixed Tate motives over Z is spanned by the motivic fundamental group of P1 minus three points. We prove a conjecture by M. Hoffman which st Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:26 Algebraic geometry Homological algebra Motive Zeta Analytic number theory Abstract algebra Mathematics Mathematical analysis
622	Arithmetic Geometry Clay Mathematics Proceedings Volume 8 Arithmetic Geometry Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-04 05:48:24 Diophantine geometry Algebraic curves Elliptic curves Analytic number theory Abelian varieties Heegner point Birch and Swinnerton-Dyer conjecture Rational point Arithmetic of abelian varieties Abstract algebra Algebraic geometry Mathematics
623	On Khot’s unique games conjecture Add to Reading List Source URL: www.ams.org Language: English - Date: 2012-05-01 11:13:39 NP-complete problems Graph coloring Combinatorial optimization Maximum cut Cut Probabilistically checkable proof Edge coloring NP-complete Graph theory Theoretical computer science Mathematics
624	PROOF OF THE ZIG-ZAG CONJECTURE FRANCIS BROWN AND OLIVER SCHNETZ Abstract. A long-standing conjecture in quantum field theory due to Broadhurst and Kreimer states that the amplitudes of the zig-zag graphs are a certain e Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:30 Analytic number theory Meromorphic functions Combinatorics Riemann zeta function Polylogarithm Factorial Mathematical analysis Mathematics Complex analysis
625	HARMONIC MEASURE AND POLYNOMIAL JULIA SETS I. BINDER, N. MAKAROV, AND S. SMIRNOV Abstract. There is a natural conjecture that the universal bounds for the dimension spectrum of harmonic measure are the same for simply co Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-02-07 12:50:20 Fractals Julia set Ordinal numbers Set theory Diophantine approximation Symbol Holomorphic functional calculus Mathematical analysis Mathematics Mathematical logic
626	Aaron Brown What’s Love Got to Do With It? Edward Frenkel is writing a protracted Dear John letter to popular misconceptions Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2013-11-21 14:01:42 Mathematical logic Edward Frenkel Mathematician Applied mathematics Mathematical proof Mathematical beauty Grigori Perelman Emmy Noether Poincaré conjecture Mathematics Topology Philosophy of mathematics
627	Sage Reference Manual: Databases Release 6.3 The Sage Development Team August 11, 2014 Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:21 Computing Analytic number theory Mathematical software Sage Number theory Elliptic curve SQL Birch and Swinnerton-Dyer conjecture Curve Mathematics Software Relational database management systems
628	Subhash Khot Typically, major math prizes are given for major results. But in this case, Subhash Khot is receiving the Nevanlinna Prize in large part for a conjecture – and even more surprisingly, one whose truth exper Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2014-07-30 08:33:48 Conjectures Combinatorial optimization NP-complete problems Mathematical optimization Unique games conjecture computational complexity theory Maximum cut Subhash Khot P versus NP problem Theoretical computer science Mathematics Applied mathematics
629	Phillip Griffiths Phillip Griffiths is a singular figure in mathematics. For more than 50 years, he has been a leader in research, making contributions at the highest level in several areas, most notably algebraic geomet Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2014-07-30 08:56:05 Algebraic geometry Hodge theory Guggenheim Fellows Phillip Griffiths Chinese mathematicians Differential geometers Leroy P. Steele Prize Geometry Hodge conjecture Mathematics Science Abstract algebra
630	COMPACT ARITHMETIC QUOTIENTS OF THE COMPLEX 2-BALL AND A CONJECTURE OF LANG arXiv:1401.1628v2 [math.NT] 31 Mar[removed]MLADEN DIMITROV AND DINAKAR RAMAKRISHNAN Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-04-01 11:50:52 Modular forms Differential topology Orbifold Algebraic topology Homotopy theory Congruence subgroup Modular curve Covering space Representation theory Abstract algebra Mathematics Topology

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