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Conference - The 2010 Graduate Student Topology and Geometry Conference to be held Spring 2010 at the University of Michigan in Ann Arbor

Conference - The 2010 Graduate Student Topology and Geometry Conference to be held Spring 2010 at the University of Michigan in Ann Arbor
会议 - 2010 年研究生拓扑和几何会议将于 2010 年春季在安娜堡密歇根大学举行
批准号:
1007305
负责人:
Lizhen Ji
金额:
$2.95万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2010
资助国家:
美国
项目状态:
已结题
起止时间:
2010-03-01 至 2011-02-28

项目摘要

项目成果

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中文摘要
翻译
在三年一次的中西部拓扑研讨会的成功基础上,来自中西部几个机构的几何和拓扑学研究生开始了一年一度的研究生拓扑会议。现在是第八个年头,密歇根大学将主办2010年的会议。全体会议的发言人将是德克萨斯大学奥斯汀分校的艾伦·里德和罗切斯特大学的道格·拉文埃尔。此外,二十四个讲座的研究生,在并行会议运行,将提供在许多以下subfields:双曲几何,三-流形,同伦理论,辛几何,动力学,纽结理论,cobordism理论,范畴理论,Teichmueller理论,四-流形,微分拓扑,几何群论,代数K-理论。今年,我们非常高兴地添加,第一次,由当地年轻教师在几何/拓扑的三个不同领域运行的三个开放问题会议。该补助金主要用于为与会者和演讲者提供旅行援助。会议将持续两天,为首次介绍和富有成效的讨论提供充足的机会,以及开始新的合作。这种会议形式有助于开始研究生获得广泛的介绍数学的一个活跃和多样化的领域,同样也有助于年龄较大的研究生接近他们的学位结束过渡到他们的博士后知道一大群同龄人在他们的领域.很少数学是做完全隔离.大多数情况下,当数学家们从彼此的创造力和想法中汲取营养时,新的数学就会出现。对于年轻的数学家(研究生)来说,从一开始就感受到这个充满活力的合作数学社区的一部分是很重要的。现在在其第八个年头,研究生拓扑和几何会议是一个为期两天的活动,其中来自全国各地的研究生,从所有的研究年份,来分享他们的工作几何和拓扑。他们与数学同行见面并交谈,获得在会议上演讲的专业经验,并听取全国一些最杰出的教授的意见。会议形式包括研究生、博士后和杰出教师的演讲。几何和拓扑是不同但相关的数学领域。拓扑学研究的是没有距离概念的“粗糙”空间,而在几何学中,空间配备了测量长度和面积的精确方法。这两个领域相互作用,相互影响。虽然几何学和拓扑学通常被称为“纯”数学,但它们在量子计算、DNA研究和理论物理学中有着重要的应用。这笔赠款主要用于支付预期160名与会者的旅费。
英文摘要
Building upon the success of the tri-annual MidWest topology seminars, graduate students in Geometry and Topology from several MidWest institutions began an annual Graduate Student Topology Conference. Now in its eighth year, the University of Michigan will be hosting the conference in 2010. The plenary speakers will be Alan Reid from University of Texas, Austin, and Doug Ravenel from University of Rochester. In addition, twenty-four talks by graduate students, run in parallel sessions, will be delivered in many of the followingsubfields: hyperbolic geometry, three--manifolds, homotopy theory, symplectic geometry, dynamics, knot theory, cobordism theory, category theory, Teichmueller theory, four--manifolds, differential topology, geometric group theory, and algebraic K--theory. This year we are very excited to add, for the first time, three open-problem sessions run by local young faculty in three different areas of geometry/topology. The grant is primarily to provide travel assistance for participants and speakers.The conference will run two days and provide ample opportunities for first introductions and fruitful discussions to occur, as well as new collaborations to begin. This conference format helps beginning graduate students to gain a broad introduction to an active and diverse area of mathematics, and equally well helps older graduate students nearing the end of their degrees to transition to their post-docs knowing a large group of peers in their field.Very little math is done is complete isolation. Most often, new mathematics comes about when mathematicians feed off of each others'creativity and ideas. It is important for young mathematicians (graduate students) to feel part of this vibrant collaborative mathematical community from the get-go. Now in its eighth year, the Graduate Student Topology and Geometry Conference is a two day event in which graduate students from across the country, from all years of study, come to share their work in Geometry and Topology. They meet and talk with their mathematical peers, gain professional experience presenting at a conference, and hear from some of the most distinguished professors in the nation. The conference format consists of talks by graduate students, post-docs, and distinguished faculty.Geometry and Topology are different, but related, fields of mathematics. While Topology is the study of "coarse" spaces without a notion of distance, in Geometry, spaces come equipped with a precise way of measuring length and area. These two fields interact and inform one-another greatly. Although typically coined as "pure" math, geometry and topology have important applications to quantum computing, DNA research, and theoretical physics. This grant is primarily to fund the travel expenses for the expected 160 participants.
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会议论文
The Legacy of Bernhard Riemann After One Hundred and Fifty Years
Geometric Analysis on Moduli Spaces of Riemann Surfaces and Locally Symmetric Spaces
Geometry and Physics; Edinburgh, Scotland, UK
Geometry and Analysis of Locally Symmetric Spaces and Moduli Spaces of Riemann Surfaces
国内基金
海外基金
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