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School Colloquium——Stable reduction of algebraic curves and abelian varieties
北大 algebraic curves abelian varieties
2023/6/16
The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topological optimization and the stable commutator length
拓扑优化 稳定换向器 长度
2023/4/19
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
A Strong Law of Large Numbers for Super-stable Processes
Super-stable process Super-Brownian motion Strong law of large Preprint submitted to Annals of Probability
2016/1/25
A Strong Law of Large Numbers for Super-stable Processes.
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...
STABLE GROTHENDIECK POLYNOMIALS AND K-THEORETIC FACTOR SEQUENCES
STABLE GROTHENDIECK POLYNOMIALS K-THEORETIC FACTOR
2015/12/17
We formulate a nonrecursive combinatorial rule for the expansion
of the stable Grothendieck polynomials of [Fomin-Kirillov '94] in the basis of
stable Grothendieck polynomials for partitions. This g...
STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH NEGATIVE CENTRAL EXPONENTS
PARTIALLY HYPERBOLIC STABLE ERGODICITY
2015/9/29
We establish stable ergodicity of diffeomorphisms with
partially hyperbolic attractors whose Lyapunov exponents along
the central direction are all negative with respect to invariant SRBmeasur...
We prove that in the space of all C
r
(r 1) partially hyperbolic
di eomorphisms, there is a C
1 open and dense set of accessible diffeomorphisms.
THE STABLE BERNSTEIN CENTER AND TEST FUNCTIONS FOR SHIMURA VARIETIES
function BERNSTEIN CENTER
2015/9/29
We elaborate the theory of the stable Bernstein center of a p-adic group G,
and apply it to state a general conjecture on test functions for Shimura varieties due to
the author and R. Kottwitz. This...
Data compression and definability of types in stable and dependent formulas
Data compression formulas
2015/9/28
Data compression and definability of types in stable and dependent formulas.
Compression schemes, stable definable families, and o-minimal structures
Compression schemes stable definable families o-minimal structures
2015/9/28
We show that any family of sets uniformly definable in an ominimal
structure has an extended compression scheme of size equal
to the number of parameters in the defining formula.
Borel completeness of some aleph_0 stable theories
Borel completeness some aleph_0 stable theories
2015/9/25
We study ℵ0-stable theories, and prove that if T either has eniDOP
or is eni-deep, then its class of countable models is Borel complete.
We introduce the notion of λ-Borel completeness and pro...
ω-stable theories: Do uncountable languages matter?
ω-stable theories uncountable languages matter
2015/9/25
ω-stable theories: Do uncountable languages matter?