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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity results in mapping class groups and homeomorphism groups
映射类群 同胚群 刚性结果
2023/11/13
Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
During the summer of 1985, after the opening ceremony of Nankai Institute of Mathematics,a beautiful lecture of S.-S. Chern on Chern classes and the Atiyah-Singer index formula introduced me into the ...
We explore Ricci flow coupled with harmonic map flow, both as it arises naturally in certain bundle constructions related to Ricci flow and as a geometric flow in its own right.
Extension results for boolean maps and a class of systems of linear inequalities
Involution posets boolean maps systems of linear inequalities
2011/2/28
In this paper we introduce the notion of core for two specific classes of boolean maps on finite involution posets (which are a generalization of the boolean lattices) and we prove some extension resu...
Selected results on Lie supergroups and their radial operators
Selected results Lie supergroups radial operators
2011/2/25
Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin’s recursion formula for describing the radial parts of fundamental operators in general...
Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels
fully nonlinear integro-differential operators nonsymmetric positive kernels
2010/11/22
In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate correspondi...
Some results on homology of Leibniz and Lie n-algebras
Semi-abelian category higher central extension higher Hopf formula
2010/12/3
From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Li...
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
The Counterpart of Fan's Inequality and Its Related Results
Inequality counterpart Sándor-Szabò's idea refinement converse
2010/1/22
In the present paper we give the new proofs for the counterpart of Fan's inequality, and establish several refinements and converses of it. The method is based on an idea of J. Sándor and V.E.S. Szabò...
Remarks About Some Weierstrass Type Results
Relation maximal element extremal value monotonically semicontinuous function compact metric space Brezis-Browder ordering principle countably ordered structure
2010/2/26
The Weierstrass type results of Gajek and Zagrodny [7] are not in general retainable in the precise context. Our first aim in this exposition is to show that a completion of the imposed conditions may...
Some Commutativity Results for S -unital Rings
Automorphisms commutativity theorems nilpotent elements polynomial constraints s-unital rings
2010/3/1
In the present paper, it is shown that if R is a left ( resp. right) s-unital ring satisfying [f(ymxrys) \pm xty, x] = 0 (resp. [f(ymxrys) \pm yxt, x] = 0), where m, r, s, t are fixed non-negative int...