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Automorphic Forum | Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics | automorphicforum.wordpress.com Reviews
https://automorphicforum.wordpress.com
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics
automorphicforum.wordpress.com
Representations of GSp(6,R) with trivial central character and highest weight vectors | Automorphic Forum
https://automorphicforum.wordpress.com/2012/07/05/representations-of-gsp6r-with-trivial-central-character-and-highest-weight-vectors
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Representations of GSp(6,R) with trivial central character and highest weight vectors. July 5, 2012 in representation theory. Consider the Lie group. Is the set of all. With real entries such that. A general element of. Is of the form. Is a 21-dimensional real vector space. We would like to describe its root system. A basis for this space is given below. We complexify the Lie algebra by tensoring with.
Hyperelliptic curves, local L-factors, and automorphic representations | Automorphic Forum
https://automorphicforum.wordpress.com/2012/02/26/hyperelliptic-curves-local-l-factors-and-automorphic-representations
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Hyperelliptic curves, local L-factors, and automorphic representations. February 26, 2012 in algebraic geometry. Be a smooth projective variety of genus. Arithmetic information about the curve is encoded in its. The conjectures of Birch and Swinnerton-Dyer about elliptic curves over. Were generalized to arbitrary abelian varieties over number fields by John Tate. Function of the Jacobian at. We consider fi...
Irreducible smooth admissible supercuspidal representations and fixed vectors | Automorphic Forum
https://automorphicforum.wordpress.com/2012/01/18/irreducible-smooth-admissible-supercuspidal-representations-and-fixed-vectors
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Irreducible smooth admissible supercuspidal representations and fixed vectors. January 18, 2012 in representation theory. Be a connected reductive group over a nonarchimedean field. Be congruences subgroup of. Be an irreducible smooth admissible representation of. Contains a cuspidal representation. Contains an extension of. By Frobenius reciprocity,. Is irreducible, it must be isomorphic to. You are comme...
Lectures on the Langlands conjectures | Automorphic Forum
https://automorphicforum.wordpress.com/2012/02/07/lectures-on-the-langlands-conjectures
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Lectures on the Langlands conjectures. February 7, 2012 in number theory. One of the motivations of studying the Langlands Conjectures is the question. What are the finite extensions of the rational numbers? The local Langlands Conjectures give a dictionary between the Galois Theory of local fields and the representation theory of locally compact reductive groups. A Mind for Madness. Enter your comment here.
Local factors of automorphic representations associated to paramodular forms in the span of Gritsenko lifts | Automorphic Forum
https://automorphicforum.wordpress.com/2012/12/01/local-factors-of-automorphic-representations-associated-to-paramodular-forms-in-the-span-of-gritsenko-lifts
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Local factors of automorphic representations associated to paramodular forms in the span of Gritsenko lifts. December 1, 2012 in automorphic forms. There are two well-known. Functions attached to Siegel modular forms of degree two. These are the Spin and the standard. Function. They have been studied by Andrianov, Böcherer, Shimura, and others. Other. Of cuspidal Jacobi newforms to. Were computed by Schmid...
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Weil猜想漫谈：幕间 VIII | Fight with Infinity
https://zx31415.wordpress.com/2016/10/20/weil猜想漫谈：幕间-viii
Wir müssen wissen, wir werden wissen. 在进入对Deligne I的讨论前，让我们 轻松 一下 假想现在是60年代而我们是 尚未提出标准猜想的 Grothendieck，让我们试着来证明. 弱Lefschetz定理 公理 7 立即派上了用场 与Poincaré对偶 公理 4 相结合，并应用归纳假设，. 成立，由Künneth公式 公理 5 ，. 我们提醒读者，我们曾在 漫谈 III 第二主题. 基于这个简单的推理，Grothendieck曾做过非常 天真 的猜想 立即被Serre证否了. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Email (Address never made public). You are commenting using your WordPress.com account. ( Log Out. Notify me of new comments via email.
Weil猜想漫谈 VII：插曲 | Fight with Infinity
https://zx31415.wordpress.com/2016/10/18/weil猜想漫谈-vii：插曲
Wir müssen wissen, wir werden wissen. 本章是漫谈的 插曲 提及的所有结果都和Weil猜想的证明 或者更严格地说，Deligne I 中给出的证明 没有直接关联。 Weil除子 模去有理等价 线性等价 关系给出我们熟悉的除子类群/ Picard群. 模去代数等价关系给出 有限生成的 Néron Severi群. 上，代数等价、同调等价和数值等价是重合的 (Matsusaka)，这个结论给人以强烈的暗示 经典等价关系 是否在本质上只有2类呢 Griffiths找出了反例. Conjectures in Arithmetic Geometry. Lectures on Algebraic Cycles. 这是后续许多发展的源头 在Voison, Vol.2中详细介绍了和复几何相关的部分。 本章引入的概念太少，我们只能努力尝鼎于一脔，考虑经典的Abel-Jacobi定理的一种推广 却期望 但愿不是奢望 读者能够食髓知味，瞥见Chow环与Hodge结构的微妙关系. 在 无法用有限对象表出 的意义上是 大 的。 Well, no promise! 160; ↩.
Pauli矩阵，表示论与Kähler恒等式 | Fight with Infinity
https://zx31415.wordpress.com/2012/04/08/pauli矩阵，表示论与kahler恒等式
Wir müssen wissen, wir werden wissen. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Email (Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. You are commenting using your Google account. ( Log Out. Notify me of new comments via email. Notify me of new posts via email.
月旦 IX | Fight with Infinity
https://zx31415.wordpress.com/2016/10/31/月旦-ix
Wir müssen wissen, wir werden wissen. For October, 2016. 老爷子似乎不太满意当前研究几何Langlands纲领的主流方式 我称之为 from top to bottom。 From bottom to top ，他 重新 提出了 相当 天真 的问题. 过这样的图像 复几何和辛几何是同一棵树上 镜像对称 的不同分支，伪全纯曲线和Picard-Lefschetz理论生长在比Floer同调和Fukaya范畴更加靠近根部的地方。 那么，同样 from bottom to top ，我们应该从这棵树的根部开始强调复几何和辛几何的统一性 据我所知，还没有人发展过这样的辛/复统一理论，即使是从与II型弦论类比的角度。 我认为一个极具潜力的大方向是探索 经典变换 的 范畴化. 此外，至少还有一个经典变换值得被范畴化，即Legendre变换 无论怎么看，这个变换都应该是理解辛几何的关键工具 例如，将这个变换和Morse理论-Lefschetz纤维化的平行性一同加以考察 ，但奇怪的是似乎从来没有人从范畴化的角度严肃考虑过它。 You are commenting us...
Weil猜想漫谈 III：第二主题 | Fight with Infinity
https://zx31415.wordpress.com/2016/10/03/weil猜想漫谈-iii：第二主题
Wir müssen wissen, wir werden wissen. 通常在介绍Weil猜想时， 第二主题 的进入会被推迟到 末乐章 即Deligne完成证明的最后一步。 因此，我们决定在发展 第一主题 之前，让 第二主题 先行进入。 是 精确到常数意义上 唯一的权为12的 尖点形式. 存在某种相似性，并提出或许可以通过研究 假想的 Ramanujan簇 证明. 再往后就是乐曲的高潮 Deligne综合了所有这些发展，得到了一个伟大的 交互证明 ，即借助 经Langlands推广后的 Rankin技巧证明了Weil猜想，又利用Weil猜想给出了Ramanujan-Petersson猜想的证明。 Automorphic Forms and Representations. 160; ↩. The Riemann Hypothesis over Finite Fiels: From Weil to the Present Day. 160; ↩. Leave a Reply Cancel reply. Enter your comment here. Tsun-Huai Li on 月旦 X.
从Bott周期性谈起 Ⅳ | Fight with Infinity
https://zx31415.wordpress.com/2012/01/02/从bott周期性谈起-Ⅳ
Wir müssen wissen, wir werden wissen. K-Theory and the Hopf Invariant. 1)外乘幂运算 简单地将向量空间的外乘幂运算 搬运 到向量丛上。 Vector Fields on Spheres. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Email (Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. Notify me of new comments via email.
K理论，6维球面和可积性 | Fight with Infinity
https://zx31415.wordpress.com/2016/11/04/k理论，6维球面和可积性
Wir müssen wissen, wir werden wissen. 上，是否存在可积的殆复结构 复结构 几天前，87岁的Michael Atiyah宣布他解决了这个问题 答案是否定的。 The Non-Existent Complex 6-Sphere. 熟悉我的人都知道，20世纪后半叶的所有数学家中，我最欣赏和敬佩的就是Michael Atiyah. 很难用言语来形容我的感动。 从第5卷 规范理论 开始，是他学术生涯的 后半场。 让人惊奇的是，50年代末到60年代初，Bott, Milnor, Kervaire, Adams等数学家发现这些现象本质上是拓扑的，并可以和Hopf纤维化、球面平行化，以及. Atiyah-Singer曾考虑过发展一个类似的相对版本的指标定理，但最终的结果仅仅是得到了一个绝对版本的拓扑指标 再定义 通过 Thom同构. 之后就是Atiyah的 纵身一跃 ，宣称 借助. 一个必要条件是先活到87岁 ↩. 拓扑表示论 和 几何表示论 的关系，有点像拓扑K理论和代数K理论的关系。 160; ↩. 7 thoughts on “ K理论，6维球面和可积性. You are...
球面平行化与可除代数 | Fight with Infinity
https://zx31415.wordpress.com/2012/01/02/球面平行化与可除代数
Wir müssen wissen, wir werden wissen. On the parallelizability of spheres. Bott periodicity and integrality theorems. 吴文俊; Borel, Serre). Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Email (Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. Notify me of new comments via email.
Weil猜想漫谈 VI：Grothendieck之梦 | Fight with Infinity
https://zx31415.wordpress.com/2016/10/13/weil猜想漫谈-vi：grothendieck之梦
Wir müssen wissen, wir werden wissen. 概言之 一方面我们有代数闭链这个 几何 对象，另一方面我们有Hodge结构这个 分析 对象。 在较初等的层面上，Hodge理论的 unreasonable effectiveness 已显露无遗 对于复代数簇，我们可以用它重新诠释大部分Lefschetz的拓扑理论。 一文，它给出了强Lefschetz定理 公理 (8) 的分析证明，并叙述了de Rham上同调群的Lefschetz分解 这对于理解标准猜想是必须的。 Hodge Theory and Complex Algebraic Geometry. 这提供了证明(W3)的一个思路 首先用Hodge理论证明(W3)在高维复射影簇上的类比 由Serre完成 ，再考虑如何将这个证明 移植 到特征. 作为闭链映射的象，必然有同调类(1,1). 另一方面， Lefschetz. 一个 良定义 显然要求我们首先证明一个类似(1,1)类-定理的Lefschetz型定理. Standard Conjectures on Algebraic Cycles.
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Automorphic Flows
Úterý 28. července 2015. Theta dissolve 2015 - V. international conference on topological string theory. Orbit of the homogeneous flow as the extension of the geodesic flow on the modular surface. U-dual vacuum torsion orbifolding by the large lattice automorphism. Foliation of the self-intersection of the U-dual automorphic cycles. The zeroes of the spectral determinant as the zeroes of the generalized theta function. Hagedorn growth in the symmetric product of the monster CFT. Sdílet ve službě Twitter.
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32nd Automorphic Forms Workshop
32nd Automorphic Forms Workshop. March 19-22, 2018. Related Conferences and Workshops. 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 researchers. For young researchers, the conference has provided support and encouragement. For accomplished researchers, it has provided the opportunity to mentor as well as a forum for exchanging ideas. This year, the 2018 Aut...
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Automorphic Forum | Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Local factors of automorphic representations associated to paramodular forms in the span of Gritsenko lifts. December 1, 2012 in automorphic forms. There are two well-known. Functions attached to Siegel modular forms of degree two. These are the Spin and the standard. Function. They have been studied by Andrianov, Böcherer, Shimura, and others. Other. Of cuspidal Jacobi newforms to. Were computed by Schmid...
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Automorphic Musings | Stuff about myself, of course…
October 29, 2013. The Aman Experience – Amankila Part 3. 8212; Tags: aman. 8212; cyby @ 3:34 am. I’m normally not a big breakfast person. Perhaps hotels are the only place where I would actually go and have breakfast. Not because I’m cheap, but because I’m normally not hungry at all in the morning. There is no short of great breakfast places in Hong Kong, but I don’t really want to eat within a few hours of waking up…. so there usually goes breakfast. So we decided to have breakfast down at the restaurant.
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Traitement de vitrage et carrosserie par pose de film professionnels. On vous rappelle gratuitement. Vitres Teintées Total Covering ▒ Auto and Bati Tél : 06 31 27 75 48. Automorphos’ est le spécialiste en pose de film sur carrosserie. Bâtiment pour le total covering, le car wrapping, tant pour la communication. La publicité ou la décoration. Tuning ou design de voitures, flotte de véhicules ou de vitrines de magasin. Nos films total covering bâtiment et car wrapping de voiture sont certifiés. Que ce soit...
