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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
2023/4/28
In this talk, I will introduce the recent results on $L^p$-boundedness of covariant Riesz transform on differential forms on a class of non-compact weighted Riemannian manifolds for $p\in (1,2]$ witho...
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
2023/5/5
The classical Siegel–Weil formula relates theta series to Eisenstein series and its arithmetic version is central in Kudla's program. I will discuss arithmetic mixed Siegel-Weil formulas. I will focus...
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
2023/5/6
We expect that the study of pluricanonical systems of varieties of general type with many global forms can be reduced to the study of pluricanonical systems of varieties of lower dimensions. We show t...
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
2023/5/9
Let $k$ be a field of characteristic 0 and let $C$ be the a smooth affine curve over $k$. We will first discuss applications of strong approximation to the theory of integral quadratic forms over $C$....
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
2017/1/10
This workshop will focus on recent developments in p-adic Hodge theory and automorphic forms, especially their interplay.
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...
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 di erential 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
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
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
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...
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
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
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...
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.