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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Covariant Riesz transform on differential forms for $p\in (1,2]$
$pin (1,2]$ 微分形式 协变里斯变换
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2023/4/28
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors
算术混合 西格尔-威尔公式 算术除数 模形式
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2023/5/5
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:On varieties of general type with many global forms
全局形式 一般类型 品种
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2023/5/6
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
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2023/5/9
第32届自动化形式研讨会(32nd Automorphic Forms Workshop)
第32届 自动化形式 研讨会
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2017/12/20
Over the last 30 years, the Annual Workshop on Automorphic Forms and Related Topics has remained a small and friendly conference. Those attending range from students to new PhD's to established resear...
P-adic Hodge Theory and Automorphic Forms Workshop
P-adic Hodge Theory and Automorphic Workshop
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2017/1/10
This workshop will focus on recent developments in p-adic Hodge theory and automorphic forms, especially their interplay.
Bott-Chern Forms and Arithmetic Intersections
Bott-Chern Forms Arithmetic Intersections
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2015/12/17
Let E : 0 ! S ! E ! Q ! 0 be a short exact sequence of
hermitian vector bundles with metrics on S and Q induced from that
on E. We compute the Bott-Chern form áe(E ) corresponding to any
characteri...
THE HODGE STAR OPERATOR ON SCHUBERT FORMS
SCHUBERT FORMS THE HODGE STAR OPERATOR
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2015/12/17
Let X = G=P be a homogeneous space of a complex semisimple
Lie group G equipped with a hermitian metric. We study the action of the
Hodge star operator on the space of harmonic dierential forms on ...
ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
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2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
SPECTACLE CYCLES WITH COEFFICIENTS AND MODULAR FORMS OF HALF-INTEGRAL WEIGHT
SPECTACLE CYCLES COEFFICIENTS AND MODULAR FORMS HALF-INTEGRAL WEIGHT
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2015/10/14
In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of o...
CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
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2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
ESSENTIAL DIMENSION, SPINOR GROUPS, AND QUADRATIC FORMS
ESSENTIAL DIMENSION SPINOR GROUPS
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2015/9/29
We prove that the essential dimension of the spinor group
Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more...
NONSTANDARD LORENTZ SPACE FORMS
lorentz Space form
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2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed
3-manifold which admits a complete Lorentz metric of constant curvature 1
(henceforth called a complete Lorentz structure) must be ...
THE RADIANCE OBSTRUCTION AND PARALLEL FORMS ON AFFINE MANIFOLDS
RADIANCE OBSTRUCTION PARALLEL FORMS
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2015/9/29
A manifold M is affine if it is endowed with a distinguished atlas whose
coordinate changes are locally affine. When they are locally linear M is called
radiant. The obstruction to radiance is a o...
Hermitian forms for Sp(4, R)
Hermitian forms Sp(4, R)
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2015/9/28
Basic references are Vogan’s notes on Sp(4, R): [?] (branching) and [?] (Hermitian forms). In fact these notes are largely a rewriting of [?] in more explicit atlas terms.