搜索结果: 1-15 共查到“affine”相关记录180条 . 查询时间(0.096 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the lowest two-sided cells of affine Weyl groups
仿射Weyl群 最低双侧胞 Kazhdan-Lusztig基
2023/12/11
In this talk, I will present a proof a decomposition formula of Kazhdan-Lusztig basis for the elements in the lowest two-sided cell of an affine Weyl group. This formula can be used to determine the l...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Bernstein Theorem of Affine Maximal Hypersurface
仿射 极大超曲面 伯恩斯坦定理
2023/4/13
Bernstein problem for affine maximal type hypersurfaces has been a core problem in affine geometry. A conjecture proposed firstly by Chern (Proc. Japan-United States Sem., Tokyo, 1977, 17-30) for enti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Affine Springer fibers for p-adic groups
p-adic基团 仿射 弹簧纤维
2023/4/13
Affine Springer fibers were introduced by Kazhdan-Lusztig as a generalization of Springer fibers to loop groups. Later they were found to have applications in harmonic analysis in reductive groups ove...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Affine Grassmannians for G_2
仿射 格拉斯曼代数 G_2
2023/4/14
I will talk about affine Grassmannians for the exceptional group of type G_2. This group can be given as automorphisms of octonion algebras. I consider all maximal parahoric subgroups in G_2, and give...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Invariant Geometric Flows in Affine-related Geometries
仿射 相关几何 不变几何流
2023/4/26
In this talk, we are mainly concerned with invariant geometric flows in affine-related geometries including centro-equiane, centro-affine, affine and affine-symplectic geometries. First, we show that ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pro-étale cohomology of affine spaces
仿射空间 亲上同调 [LB18， §3]
2023/5/6
Cover [LB18, §3]. If possible, comment on another proof [CN20].
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strong approximation and integral quadratic forms over affine curves
仿射曲线 强近似 积分二次形式
2023/5/9
Let $k$ be a field of characteristic 0 and let $C$ be the a smooth affine curve over $k$. We will first discuss applications of strong approximation to the theory of integral quadratic forms over $C$....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some geometry of affine Deligne-Lusztig varieties
仿射 Deligne-Lusztig变种 几何
2023/5/17
The mod p points of a Shimura variety have a conjectural description called the Langlands-Rapoport conjecture. In accordance with the conjecture, Rapoport defined (generalized) affine Deligne-Lusztig ...
On Noncommutative Cryptography and homomorphism of stable cubical multivariate transformation groups of infinite dimensional affine spaces
Multivariate Cryptography stable transformation groups and semigroups decomposition problem of nonlinear multivariate map into given generators
2019/6/3
Noncommutative cryptography is based on applications of algebraic structures like noncommutative groups, semigroups and non-commutative rings. Its inter-section with Multivariate cryptography contains...
Weights on affine subspaces and some other cryptographic characteristics of Boolean functions of 5 variables
Boolean functions affine classification nonlinearity algebraic degree
2019/5/27
Recently one new key recovery method for a filter generator was proposed. It is based on so-called planar approximations of such a generator. This paper contains the numerical part of the research of ...
Extended Affine and CCZ Equivalence up to Dimension 4
boolean functions extended affine equivalence CCZ equivalence
2019/4/1
For all vectorial boolean functions up to dimension 4, we present canonical representatives for all extended affine (EA) and CCZ equivalence classes. We include the size of each class, as well as its ...
Ever since the first candidate white-box implementations by Chow et al. in 2002, producing a secure white-box implementation of AES has remained an enduring challenge. Following the footsteps of the o...
On CCZ-Equivalence, Extended-Affine Equivalence, and Function Twisting
Boolean functions CCZ-Equivalence EA-equivalence
2018/8/2
Two vectorial Boolean functions are ``CCZ-equivalent'' if there exists an affine permutation mapping the graph of one to the other. It preserves many of the cryptographic properties of a function such...
An Improved Affine Equivalence Algorithm for Random Permutations
Affine equivalence problem block cipher Even-Mansour cipher
2018/2/1
Our algorithm is based on a new structure (called a \emph{rank table}) which is used to analyze particular algebraic properties of a function that remain invariant under invertible affine transformati...
In this work, we describe a simple and efficient construction of a large subset S of F_p, where p is a prime, such that the set A(S) for any non-identity affine map A over F_p has small intersection w...