【摘 要】
:
By using new techniques based on the algebraic and geometric Kahn-Priddy theorems,we make new computations of stable homotopy groups of spheres.Based on our
【机 构】
:
ShanghaiCenterforMathematicalSciences
【出 处】
:
2016数学青年学者论坛(2016 Young Mathematician Forum)
论文部分内容阅读
By using new techniques based on the algebraic and geometric Kahn-Priddy theorems,we make new computations of stable homotopy groups of spheres.Based on our computation,together with previous results,we now know spheres of dimensions 1,2,3,5,6,12,56,61 have unique differential structures.Moreover,all the other odd dimensional spheres has exotic structures.
其他文献
Fast Multipole Method(FMM)and Treecode are popular tree-based mul-tipole algorithms with rigorous error estimates and wide applications in computing N-body
Applications of different computational approaches to study proteins in biological systems will be discussed in this talk.We will first show how molecular d
By Fontaines theory,a semi-stable non-crystalline Galois representation can be explicitly determined by the associated Weil-Deligne representation,its Hodge
Recently Bourgain-Demeter proved the sharp(time 1)Strichartz estimates for the linear Schr(o)dinger equation on general rectangular tori.These estimates are
Open quantum maps are useful models in the study of scattering resonances,especially for open quantum chaotic systems.In this talk,we discuss a special fami
Let p : X → Y be a fibration between two projective manifolds.The Iitaka conjecture states that k(X)≥ k(Y)+k(X/Y),where k(X)is the Kodaira dimension of X
In this talk,we first review the recent progress on the study of convergence of multiple ergodic averages both in L2 norm and pointwisely.Then we show that
The notion of stability condition on a triangulated category has been introduced by Bridgeland around ten years ago.Ill give an introduction to some related
In 2003,Manolescu defined the Seiberg-Witten Floer stable homotopy type for rational homology three-spheres.This powerful invariant has many applications in
We will report some recent work on the weak turbulence theory.For incompressible Euler equations,classical existence theory suggests that solutions have a d