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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...
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...
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...
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 $C$....
It’s hard to imagine a more inhospitable world than our closest planetary neighbor. With an atmosphere thick with carbon dioxide, and a surface hot enough to melt lead, Venus is a scorched and suffoca...
In this study, it is aimed to understand the relation between micro-climate and urban planning in the case of a cold-climate city, Erzurum. The effects of different urban patterns on micro-climate are...
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       font style='font-size:12px;'> 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...
Background: Emerging evidence suggests novel roles for bacterially derived vitamin K forms known as menaquinones in health and disease, which may be attributable in part to anti-inflammatory effects. ...
Background: Emerging evidence suggests novel roles for bacterially derived vitamin K forms known as menaquinones in health and disease, which may be attributable in part to anti-inflammatory effects. ...
Neuroscientists from the University of Chicago argue that research on how memories form in the brain should consider activity of groups of brain cells working together, not just the connections betwee...
Water forms 'spine of hydration' around DNA,group finds     Water forms  spine of hydration  around DNA  group finds       font style='font-size:12px;'> 2017/7/20
Water is the Earth’s most abundant natural resource, but it’s also something of a mystery due to its unique solvation characteristics – that is, how things dissolve in it.“It’s uniquely adapted to bio...
P-adic Hodge Theory and Automorphic Forms Workshop     P-adic  Hodge Theory and Automorphic   Workshop       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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 di erential forms on ...
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 ...

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