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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A simpler proof of the Frank-Lieb inequality on the Heisenberg group
海森堡群 Frank-Lieb inequality 更简单证明
2023/4/14
I will discuss the Hardy-Littlewood integral inequality with sharp constant on the Heisenberg goup proved by Frank and Lieb. I will outline a simpler proof which bypasses the sophisticated argument fo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/4/28
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Nonlocal Filtration Equations on the Heisenberg group
海森堡群 非局部 滤波方程
2023/5/4
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Group-Orthogonal Subsampling for Big Data Linear Mixed Models
大数据 线性混合模型 群正交 子采样
2023/5/10
Linear mixed model is a popular and common modeling method in statistical analysis. It is computationally difficult to obtain parameter estimates in linear mixed model for big data. The current subsam...
2018年群论研讨会（Ischia Group Theory 2018）
2018年 群论 研讨会
2017/12/20
A Conference on Group Theory will be held at Grand Hotel delle Terme Re Ferdinando, in Ischia (Naples, Italy), from Monday, March 19th, to Friday, March 23rd, 2018. The arrival of participants is expe...
2018群表示论及其应用研讨会（Introductory Workshop:Group Representation Theory and Applications）
2018 群表示论及其应用 研讨会
2017/12/20
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2016)
mathematics education cultura
2016/7/18
The theme of the conference is Sin Fronteras: Questioning Borders with(in) Mathematics Education. This theme is intended to encourage research presentations, discussion, and reflection on the variety ...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
COHOMOLOGY OF SL(2, C) CHARACTER VARIETIES OF SURFACE GROUPS AND THE ACTION OF THE TORELLI GROUP
SL(2, C) CHARACTER VARIETIES SURFACE GROUPS TORELLI GROUP
2015/12/17
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
We define an extended Bloch group for an arbitrary field F, and
show that this group is naturally isomorphic to Kind
3
(F) if F is a number
field. This gives an explicit descript...
THE EXTENDED BLOCH GROUP AND THE CHEEGER-CHERN-SIMONS CLASS
THE EXTENDED BLOCH GROUP CHEEGER-CHERN-SIMONS CLASS
2015/12/17
We present a formula for the full Cheeger-Chern-Simons class of the tautological flat
complex vector bundle of rank 2 over BSL(2, C
δ
). Our formula improves the formula in [DZ], where
the c...
CUP PRODUCTS, THE HEISENBERG GROUP, AND CODIMENSION TWO ALGEBRAIC CYCLES
CUP PRODUCTS HEISENBERG GROUP
2015/12/10
We de ne higher categorical invariants (gerbes) of codimension two algebraic cycles and provide
a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This...
ON MIXING PROPERTIES OF COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
GROUP EXTENSIONS HYPERBOLIC SYSTEMS
2015/9/29
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with
accessibility properties of their stable and unstable laminations.
We show that g...