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2024丘成桐国际中学生数学夏令营报名通知

        “2024丘成桐国际中学生数学夏令营” (以下简称“夏令营”)定于2024年7月19日至8月21日举行。本次夏令营由上海数学与交叉学科研究院和复旦大学共同举办。“丘成桐中学生数学夏令营”自2014年暑期开始,已成功举办10届。         夏令营面向喜欢数学、对数学有热忱且具备一定基础能力的学生。旨在让学生了解近代数学的样貌,接触现代的数学研究。主要招收对象是全国各地的优秀中学生。期望这些有潜力的学生能够通过夏令营的启发,在未来能够投身数学科学研究,以达到培养新一代年轻数学科学研究人才的目标。         夏令营提供为期五周左右的数学课程。这些课程内容包含现代数学科学研究必备的工具与应用。夏令营不仅限于制式化的课堂学习,某些课程还搭配专题研究,并鼓励学生在夏令营做专题报告发表自己的研究成果。夏令营期间每天下午开设习题课,由助教带领学生做习题、讨论、演练或是讨论专题研究内容。此外,我们计划邀请世界一流的数学家到夏令营做学术报告,让学生能够了解现代数学研究的方向与成果。 一、夏令营招收对象         本次夏令营拟招收国际及国内中学生约150名学生,共同参加夏令营课程及相关活动。         参加本次夏令营的中学生应具备下列条件: 二、夏令营报名方式及时间         所有报名的学生请于2024年5月21日(截止到当天24:00)期间登录报名网址:https://mathcamp.simis.cn,注册并登录后按要求准确完整地填写报名信息。         请按照以下要求网上填写并提交报名材料,未按要求填写并提交者视为无效申请。 三、夏令营营员选拔方式         学生申请材料由专家小组进行审核,审核通过者获得营员资格,请于2024年5月下旬在报名平台查询结果(具体时间另行通知)。 四、其他         今年夏令营将设置5名最佳项目奖(BPA)。在夏令营期间完成指导老师课题项目的营员都可以竞争这个奖项。在每堂课上完成研究报告后,我们将选出一些优秀的项目进入最后一轮比选。BPA获奖者将获得6000元人民币奖金和由丘成桐教授签名的获奖证书。         本届夏令营在上海市数学与交叉学科研究院、复旦大学举办。本次入选夏令营的中国籍学生免收学费,交通及住宿费自理。预计收取住宿费100元/天。外籍学生学费及奖学金(上海市政府留学生专项奖学金)内容参考英文通知。具体安排请及时查收邮件与夏令营网站(邮箱务必准确填写,后续接收相关通知)。 联系方式:021-65660296邮箱:2024mathcamp@simis.cn电话:(工作日,周一至周五14:00-16:00) 上海数学与交叉学科研究院2024年4月17日

SIMIS Seminar on Field Theory and String Theory: The Applications of String Dualities on Black Hole Superradiance and Neutron Star Equation of States

Speaker: Kilar Zhang (Shanghai University) Abstract: The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both sides are characterized by Heun-type equations. We find that a similar duality exists between Seiberg-Witten theory and …

SIMIS Seminar on Field Theory and String Theory: The Applications of String Dualities on Black Hole Superradiance and Neutron Star Equation of States Read More »

SIMIS Seminar on Field Theory and String Theory: Chiral graviton modes in quantum Hall liquids

Speaker: Lingjie Du (School of Physics Nanjing University, China) Abstract: Gravitons are hypothetical neutral spin-2 bosons[1]. In the fractional quantum Hall (FQH) state at filling factor v = 1/3, a chiral graviton mode is predicted as quantum of metric fluctuations under a new quantum geometry description [2,3,4], which could be described by the corresponding Fierz-Pauli …

SIMIS Seminar on Field Theory and String Theory: Chiral graviton modes in quantum Hall liquids Read More »

SIMIS-Fudan Colloquium: Link homology theories and their ramifications

Speaker: Professor Mikhail Khovanov (Columbia University) Abstract: We recall how the Jones polynomial of links lifts to a link homology theory which is functorial under link cobordisms in 4-space. Extending this homology theory to tangles relates the theory to a variety of categories in representation theory and geometry. Another extension, to a categorification of the …

SIMIS-Fudan Colloquium: Link homology theories and their ramifications Read More »

SIMIS Seminar on Field Theory and String Theory: Non-invertible Symmetry in Lattice Models

Speaker: Weiguang Cao (IPMU, Tokyo University) Abstract: Recently, the notion of symmetry has been generalized. While ordinary symmetry can be described by a (1) co-dimension 1, (2) topological operator with (3) group-like fusion rule, generalized symmetries are described by operators that relax one or more conditions. Generalized symmetry plays an important role not only in …

SIMIS Seminar on Field Theory and String Theory: Non-invertible Symmetry in Lattice Models Read More »

SIMIS Seminar on Field Theory and String Theory: A differential representation for holographic correlators

Speaker: Ye Yuan (Zhejiang University) Abstract: In this talk I will discuss a differential representation for holographic four-point correlators. In this representation, the correlators are given by acting differential operators on certain seed functions. The number of these functions is much smaller than what is normally seen in known examples of holographic correlators, and all …

SIMIS Seminar on Field Theory and String Theory: A differential representation for holographic correlators Read More »

SIMIS Seminar on Field Theory and String Theory: Geometry from Categorical Enumerative Invariants

Speaker: Junwu Tu (ShanghaiTech University) Abstract: We shall discuss the categorical enumerative invariants associated with a smooth projective family of Calabi-Yau 3-folds. In particular, we study the holomorphic anomaly equations in this context. This naturally leads to the study of geometric structures on moduli spaces of smooth projective Calabi-Yau 3-folds. Time: 16:00 ~ 17:00, Mon., Mar. 25, 2024 …

SIMIS Seminar on Field Theory and String Theory: Geometry from Categorical Enumerative Invariants Read More »

SIMIS Seminar on Field Theory and String Theory: Duality of 3d N=4 theories with 1-form symmetry

Speaker: Satoshi Nawata (Fudan University) Abstract: The study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d N=4 theories. In this talk, starting with known mirror pairs of 3d N=4 quiver gauge theories and gauging discrete subgroups of the flavour or topological symmetry, I discuss new mirror pairs with non-trivial …

SIMIS Seminar on Field Theory and String Theory: Duality of 3d N=4 theories with 1-form symmetry Read More »

SIMIS Seminar on Field Theory and String Theory: Defect Two-point Functions in 6d (2,0) Theories

Speaker: Xinan Zhou (Kavli ITS, UCAS & ShanghaiTech University) Abstract: In this talk, I will discuss correlation functions in 6d (2, 0) theories of two 1/2-BPS operators inserted away from a 1/2-BPS surface defect. In the large central charge limit the leading connected contribution corresponds to sums of tree-level Witten diagram in AdS7×S4 in the …

SIMIS Seminar on Field Theory and String Theory: Defect Two-point Functions in 6d (2,0) Theories Read More »

Announcement on the 2024 International Doctoral Program

Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) offers a joint doctoral program with Fudan University, to share the teaching and academic resources. The academical degree is awarded by Fudan university at the end of the program. Interested students should apply for it between February 20, 2024 and May 15, 2024. [Link to the Fudan …

Announcement on the 2024 International Doctoral Program Read More »

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