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a mad day's work | #angs@t

A mad day's work. Mathbf{Ext}( mathbb{Q}, mathbb{Z})$ and the solenoid $ widehat{ mathbb{Q} $. July 31, 2014. Note to self: check Jack Morava’s arXiv notes. On a more regular basis! It started with the G -post below by David Roberts. Suddenly I realised I hadn’t checked out Morava. 8216;s “short preprints with ambitious ideas, but no proofs” lately. The extension group $Ext( mathbb{Q}, mathbb{Z})$ classifies all short exact sequences of Abelian groups. The note by Boardman Some Common Tor and Ext Groups.

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A mad day's work. Mathbf{Ext}( mathbb{Q}, mathbb{Z})$ and the solenoid $ widehat{ mathbb{Q} $. July 31, 2014. Note to self: check Jack Morava’s arXiv notes. On a more regular basis! It started with the G -post below by David Roberts. Suddenly I realised I hadn’t checked out Morava. 8216;s “short preprints with ambitious ideas, but no proofs” lately. The extension group $Ext( mathbb{Q}, mathbb{Z})$ classifies all short exact sequences of Abelian groups. The note by Boardman Some Common Tor and Ext Groups.
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a mad day's work | #angs@t | noncommutative.org Reviews

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A mad day's work. Mathbf{Ext}( mathbb{Q}, mathbb{Z})$ and the solenoid $ widehat{ mathbb{Q} $. July 31, 2014. Note to self: check Jack Morava’s arXiv notes. On a more regular basis! It started with the G -post below by David Roberts. Suddenly I realised I hadn’t checked out Morava. 8216;s “short preprints with ambitious ideas, but no proofs” lately. The extension group $Ext( mathbb{Q}, mathbb{Z})$ classifies all short exact sequences of Abelian groups. The note by Boardman Some Common Tor and Ext Groups.

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lievenlb | urban maths

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December 31, 2015. July 1, 2014. The birthday of Grothendieck topologies. June 15, 2014.

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Grothendieck’s Café | urban maths

http://www.noncommutative.org/grothendiecks-cafe

July 1, 2014. 8220;A story says that in a Paris café around 1955 Grothendieck asked his friends “what is a scheme? 8221; At the time only an undefined idea of “schéma” was current in Paris, meaning more or less whatever would improve on Weil’s foundations.” (McLarty in The Rising Sea. Finding that particular café in Paris, presumably in the 5th arrondissement, seemed like looking for a needle in a haystack. In trying to solve the next riddle in Bourbaki’s death announcement. On page 114, Roubaud writes:.

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Las ecuaciones de Cauchy-Riemann | Ceros y Puntos

https://cerosypuntos.wordpress.com/2016/12/21/las-ecuaciones-de-cauchy-riemann

Un polinomio irreducible en Z (los enteros) que nunca toma valores primos. La topología de Zariski en Spec(R) →. Diciembre 21, 2016 · 23:15. Ir a los Comentarios. Las ecuaciones de Cauchy-Riemann. La idea de ésta entrada es mostrar dos ejercicios que se resuelven por medio de las ecuaciones de Cauchy-Riemann. Consideremos un conjunto abierto. Bajo la topología usual de. Es diferenciable en el sentido complejo. Existe. Diremos que. Si es diferenciable en sentido complejo en una vecindad (no agujerada) de.

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Fight with Infinity | Wir müssen wissen, wir werden wissen | Page 2

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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. Coherent sheaf) ,...

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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.

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月旦 XI | Fight with Infinity

https://zx31415.wordpress.com/2017/01/01/月旦-xi

Wir müssen wissen, wir werden wissen. For December, 2017. AlphaGo的故事还没有结束 有传言说,现今的中国围棋第一人柯洁已开始使用Google提供的AlphaGo程序进行日常训练 这同时也是对AlphaGo稳定性的进一步测试 在与李世乭的五番棋大战中,程序曾经出现过一次明显的 崩溃 ,直接导致了败局 ,并将在合适的时候 代表人类再次挑战AlphaGo. 通过机器学习技术训练出的 机器人杀手 已在摩拳擦掌随时准备进入战场,以致联合国下辖的 特定常规武器公约 缔约方开始严肃考虑 禁止此类机器人的应用. 这是美国粒子物理学界寄望于中国的理由 他们厌倦了和国会 以及他们背后的 庸众 打交道,企图 抄近道。 讽刺的是,或许这也会成为这个项目最终 无疾而终 的理由 因为一句话打开的大门也可能因为一句话而关上。 因为政府和公众的回答一定是 不能 不能 不能. 同样是一个关于量子系统控制的问题,但难度要高出不少 有些人认为难到 不可能 的程度。 还有太多细节需要被梳理,被归纳,from bottom to top. 的形态 我们又从 十 回到了 一。

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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; ↩.

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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.

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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...

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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.

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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.

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D fait le pitre dans le monde non-commutatif

D fait le pitre dans le monde non-commutatif. Friday, March 26, 2010. Http:/ www.nature.com/news/2010/100324/pdf/464482a.pdf. Posted by Dani K at 1:49 AM. Monday, March 22, 2010. Das Glück widmet sich Faultieren und deren nachhaltiger Ausbildung. Frau Klammer hilft ihm. Http:/ members.chello.at/faultier.nachhilfe. Posted by Dani K at 2:47 AM. Tuesday, December 22, 2009. Just to let you know . New work: austrian science board. Education vs. professional education. Bildung vs. ausbildung. Now christmas is ...

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a mad day's work | #angs@t

A mad day's work. Mathbf{Ext}( mathbb{Q}, mathbb{Z})$ and the solenoid $ widehat{ mathbb{Q} $. July 31, 2014. Note to self: check Jack Morava’s arXiv notes. On a more regular basis! It started with the G -post below by David Roberts. Suddenly I realised I hadn’t checked out Morava. 8216;s “short preprints with ambitious ideas, but no proofs” lately. The extension group $Ext( mathbb{Q}, mathbb{Z})$ classifies all short exact sequences of Abelian groups. The note by Boardman Some Common Tor and Ext Groups.

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Noncommutative Page

Disclaimer: This pages are under construction. Errors, typos, mistakes etc. might happen. If you would like them corrected, please, get in touch with me. If you do not find here the information you expected to see, please, do not get angry. The chances are I did it just since I had not known about it, so please, write me. Thanks! A short introduction to the subject: just four pages describing what. Is NCG and why. NCG and QG Books and Reviews. NCG and QG People. Home pages of people doing research in NCG.

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Main Page - Noncommutative

The wiki on noncommutative algebra and geometry. The wiki is currently empty (or almost so). Check out these related wikis, which as of now have more content:. Commutative algebra and algebraic geometry wiki. Retrieved from " http:/ noncommutative.wiki-site.com/index.php/Main Page. Log in / create account. This page was last modified 20:43, 23 November 2007. This page has been accessed 3,633 times.

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Noncommutative Analysis

December 21, 2016. I am happy to advertise the existence of a new electronic journal/forum/website: Journal of Xenomathematics. Don’t worry, it’s not another new research journal. The editor is John E. McCarthy. The purpose is to discuss mathematics that is out of this world. Aren’t you curious? November 13, 2016. Multivariable Operator Theory workshop at the Technion (Haifa, June 2017). And here is a link to the poster. Please free to contact me if you have any questions. October 11, 2016. With several ...

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Noncommutative Geometry

Wednesday, March 7, 2018. Noncommutative Geometry and Index Theory for Group Actions and Singular Spaces. Some funding is available for participants, and there are still opportunities for contributed talks. For further information, see the link below. Https:/ sites.google.com/site/ncgtamu2018/. Monday, July 17, 2017. Maryam Mirzakhani (May 3, 1977 - July 15, 2017). از شمار دو چشم یک تن کم. وز شمار خرد هزاران بیش. Two eyes are gone. Thousands of minds withered". Here is the Stanford University obituary:.