搜索结果: 1-15 共查到“代数学 Conjecture”相关记录30条 . 查询时间(0.015 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Lp-Brunn-Minkowski conjecture for 0
0
2023/4/21
The Lp-Brunn-Minkowski conjecture for 0 < p < 1 states that the volume functional is concave when origin-symmetric convex bodies are Lp-added, where 0 < p < 1. This conjecture has garnered significant...
THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS
HODGE CONJECTURE ARITHMETIC QUOTIENTS COMPLEX BALLS
2015/10/14
Let S be a closed Shimura variety uniformized by the complex n-ball. The Hodge conjecture predicts that every Hodge class in H2k(S, Q), k = 0, . . . , n, is algebraic. We show that this holds for all ...
BOWEN’S ENTROPY-CONJUGACY CONJECTURE IS TRUE UP TO FINITE INDEX
BOWEN’S ENTROPY CONJUGACY CONJECTURE FINITE INDEX
2015/9/29
For a topological dynamical system (X, f), consisting of a continuous map f : X → X, and a (not necessarily compact) set Z ⊂ X, Bowen [2] defined a dimension-like version of entropy,hX(f, Z). In...
Let E be an elliptic curve over the rationals. In 1988, Koblitz conjectured an asymptotic for the number of primes p for which the cardinality of the group of Fp-points of E is prime.However, the cons...
THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE
DOUBLE HURWITZ NUMBERS FABER’S INTERSECTION NUMBER CONJECTURE
2015/7/14
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli
space of curves, parametrizing curves expressible as branched covers of P
1 with given ramification...
On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
Spineless Cacti Deligne's Conjecture Connes--Kreimer's Hopf Algebra
2015/3/25
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures: (1) a solution to ...
Deformations of algebras over operads and Deligne's conjecture
algebras over operads Deligne's conjecture
2015/3/25
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces of...
Manin products, Koszul duality, Loday algebras and Deligne conjecture
Manin products Koszul duality Loday algebras Deligne conjecture
2015/3/25
In this article we give a conceptual definition of Manin products in any category endowed with two coherent monoidal products. This construction can be applied to associative algebras, non-symmetric o...
Thoughts on Eggert's Conjecture
Eggert’s Conjecture Frobenius map on a finite-dimensional nilpotent commutative algebra finite abelian semigroup
2012/6/15
Eggert's Conjecture says that if R is a finite-dimensional nilpotent commutative algebra over a perfect field F of characteristic p, and R^{(p)} is the image of the p-th power map on R, then dim_F R \...
In this note, I propose the following conjecture: a finite group G is nilpotent if and only if its largest quotient B-group \beta(G) is nilpotent. I give a proof of this conjecture under the additiona...
Stanley Conjecture on intersection of three monomial primary ideals
Monomial Ideals Stanley decompositions Stanley depth
2011/9/13
Abstract: We show that the Stanley's Conjecture holds for an intersection of three monomial primary ideals of a polynomial algebra S over a field.
Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
topological algebras the integral K-theoretic Novikov conjecture K-Theory and Homology Algebraic Topology
2011/9/2
Abstract: We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost connected Lie group satisfies the integral...
On a Conjecture on the weak global dimension of Gaussian rings
Gaussian rings weak dimension content non-noetherian rings
2011/8/24
Abstract: Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring is 0,1 or \infty. In this paper, we prove their conjecture in all cases except when R is a non-reduced local Gau...
The K-theoretic Farrell-Jones conjecture for CAT(0)-groups
Farrell-Jones conjecture algebraic K-theory of group rings
2011/2/21
We prove the K-theoretic Farrell-Jones conjecture with (twisted)coefficients for CAT(0)-groups.
The mixed Littlewood conjecture for pseudo-absolute values
Littlewood conjecture measure rigidity linear forms in logarithms
2011/1/17
In this paper we prove the mixed Littlewood conjecture for a p−adic absolute value and any pseudo-absolute value with bounded ratios. More precisely we show that if p is a prime and D is a pseud...