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SIMIS Seminar on Derived and Noncommutative Geometry: Shifted symplectic structures on derived Quot Schemes, Degenerations and Categorification of DT invariants

Speaker: Artan Sheshmani (BIMSA) Abstract: We discuss construction of a derived Lagrangian intersection theory of closely related moduli spaces of perfect complexes, with support on divisors on compact Calabi Yau threefolds. Our goal is to compute deformation invariants associated to a fixed linear system of divisors in CY3. We degenerate the CY3 into a normal-crossing …

SIMIS Seminar on Derived and Noncommutative Geometry: Shifted symplectic structures on derived Quot Schemes, Degenerations and Categorification of DT invariants 查看全文 »

SIMIS Seminar on Derived and Noncommutative Geometry:Moduli Stacks of Solutions to Non-linear PDES and their related Singularities

Speaker: Jacob Kryczka (BIMSA) Abstract: Many moduli spaces in geometry and physics, like those appearing in symplectic topology, quantum gauge field theory and in relation to homological mirror symmetry, are constructed as parametrizing spaces of solutions to nonlinear differential operators modulo symmetries of the underlying theory. These spaces are often not smooth, with multi non-equidimensional …

SIMIS Seminar on Derived and Noncommutative Geometry:Moduli Stacks of Solutions to Non-linear PDES and their related Singularities 查看全文 »

An operator algebras seminar at SIMIS: Classification of C*-algebras real rank zero and stable rank one

Speaker:Qingnan An Host: Huaxin Lin Abstract: We will talk about the Elliott conjecture of real rank zero setting which would briefly involve Total K-theory, Universal Multi-Coefficient Theorem, Bockstein Operations and a new invariant called Total Cuntz semigroup. By considering the the classification of extensions of C*-algebras, we exhibit two unital, separable, nuclear C*-algebras of stable …

An operator algebras seminar at SIMIS: Classification of C*-algebras real rank zero and stable rank one 查看全文 »

SIMIS Seminar on Derived and Noncommutative Geometry: Enumerative Invariants from Calabi-Yau categories

Speaker: Junwu Tu (Shanghai Tech) Abstract: In the first half, we shall begin by recalling the fact that Hochschild cohomology of an associative algebra has a Gerstenhaber algebra structure. Then we discuss its chain level extension (conjectured by Deligne) that the Hochschild cochain complex carries an E2-algebra structure. Finally, we shall describe the construction of …

SIMIS Seminar on Derived and Noncommutative Geometry: Enumerative Invariants from Calabi-Yau categories 查看全文 »

复旦大学-上海数学与交叉学科研究院-2025年推免生招生预选拔通知

一、2025年推免生招生预选拔简介 上海数学与交叉学科研究院(网址https://www.simis.cn,简称“研究院”)是由上海市、 杨浦区和复旦大学共同支持的新型研发机构,位于上海市杨浦区。研究院立足上海、辐射长三角,力争搭建集高水平基础研究、人才集聚与培养为一体的国际领先基础科学与交叉研究平台,重点面向基础数学、应用数学、交叉方向如人工智能、生物医药等领域,攻克重大科学难题和现实挑战,支撑国家重大战略需求,为解决国家当前面临的卡脖子问题提供理论基础,引领原创性技术发展。 研究院依托复旦大学,双方共同实施联合培养博士研究生项目,积极探索推进具有中国特色并与国际接轨的博士生教育机制, 培养优秀创新人才。联合培养博士生的学籍属于复旦大学,学生完成培养方案规定的学习要求、通过论文答辩,由复旦大学颁发学历证书; 达到学位申请要求者向复旦大学申请学位。 本次推免生预选拔仅招收基础数学、应用数学和交叉方向直博生。 二、报名时间 9月5日10:00-9月15日16:00 三、报名条件 1、全国各高等学校2025年应届本科毕业生。 2、学习成绩优秀,本科前3年成绩排名在所在学校同年级本专业前20%之内。(在科研方面有突出表现的学生可不受此约束) 3、具有一定的学术科研能力或潜力。有志于从事数学及与数学相关交叉学科研究工作。 四、报名材料 1、近期正面免冠彩色证件照片,电子版JPG格式,150×200像素,大小500K以内。 2、本科阶段历年成绩单(须加盖教务处或院系公章),JPG或PDF格式。 3、外语水平证明,如CET-4、CET-6、雅思、托福、专业外语成绩等。 4、有关获奖证书和学术科研成果,如发表论文、出版物或其他原创性工作。 5、考生诚信考核承诺书。 6、提供至少2封专家推荐信(报名系统将提供链接,由推荐专家直接填写),推荐专家须具有所报考专业领域内的教授及以上职称(或相当专业技术职称),考生无须另行寄送纸质材料。 7、个人学术简历。 五、报名方式 1、网上报名 登录复旦大学研究生招生网(https://gsao.fudan.edu.cn),通过“研究生报考服务系统”中的“推免生预报名”进行网上报名。选择“402 上海数学与交叉学科研究院”进行网上报名。 2、纸质材料寄送说明 本院无需考生寄送纸质材料。 六、预选拔复试人数 预选拔复试人数计划60名左右。实际复试人数将根据报名情况适当调整。 七、进入复试结果通知 是否进入复试结果可在9月18日前通过研究生报考服务系统查询。 八、选拔考核安排 暂定安排如下,以最终邮件通知为准。 9月21日 9:00-12:00注册报到;  9月21日 14:00- 研究院介绍、专业介绍; 9月22日 8:30-11:30笔试(三小时); 9月22日 13:00- 按专业分组面试,面试内容包括专业基础知识、英语能力(含口语)、综合素质、从事学术研究的潜在能力以及思想政治素质和品德等; 9月22日 学生分专业面试(续)。 九、预选拔复试实施细则 1、学院按专业方向成立3个推免生预选拔复试小组,各专业方向选派责任心强、教学经验丰富、学术及外语水平较高的人员参与评选工作,每个小组成员一般不少于5人。 2、评选考核内容包括所报考专业的综合知识与技能、外国语水平及思想政治素质和品德考核等。 3、评选考核采用现场考核方式 每位考生的笔试考核时间为3小时,面试考核时间一般不少于20分钟,面试全程录音录像。 笔试及面试地点为上海数学与交叉学科研究院(上海市杨浦区淞沪路657号)。 4、评选考核成绩中,面试考核成绩占60%(含外语考核成绩),笔试考核成绩占40%,按照总成绩由高到低排名。评选考核成绩不合格者,不能评为预选拔推免生。 5、评选考核结果将在考核结束后5个工作日内,通过复旦大学研究生报考服务系统发布,请考生及时登录系统查看考核结果。 6、推免生预选拔其他相关要求,参照《复旦大学2024年硕士研究生招生复试录取办法》执行。 推免生拟录取名单以学校研招网公示为准。 …

复旦大学-上海数学与交叉学科研究院-2025年推免生招生预选拔通知 查看全文 »

复几何讨论班

A series of seminars on complex geometry on Thursday every week. Time: 9:00~11:30 a.m., Thursday Location: Room 1310 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

Seminar on Continuous K-theory: Introduction and motivation to continuous K-theory

Speaker: Christopher Brav Abstract: This will be an introductory and organization talk for a joint reading seminar with Guozhen Wang, on continuous K-theory in the sense of Alexander Efimov. In brief, “continuous” K-theory is an extension of algebraic K-theory to a certain nice class of well-behaved large categories for which the classical construction of algebraic …

Seminar on Continuous K-theory: Introduction and motivation to continuous K-theory 查看全文 »

【算子代数讲座】A higher index for finite-volume locally symmetric spaces

Speaker: Hang Wang (ECNU) Abstract: Let G be a connected, real semisimple Lie group, and K a maximal compact subgroup. For a discrete subgroup Γ in G, we have the locally symmetric space X = Γ\G/K. Such spaces appear in many places in mathematics and include, for example, all hyperbolic manifolds. Our research was strongly …

【算子代数讲座】A higher index for finite-volume locally symmetric spaces 查看全文 »

SIMIS Seminar on Field Theory and String Theory: Mirror symmetry via Floer theoretic invariants with support

Speaker: Umut Varolgunes Abstract: I will outline an approach to mirror symmetry where the A-side is a symplectic CY manifold “symplectically cut” into certain small pieces and the B-side is a non-archimedean analytic space glued from Floer theoretic invariants of those pieces. This suggests a clear path for conceptual explanations to homological mirror symmetry and …

SIMIS Seminar on Field Theory and String Theory: Mirror symmetry via Floer theoretic invariants with support 查看全文 »

Diagonals in classifiable C*-algebras

Wilhelm Winter (Universität Münster) 14:00-15:00, July 31th, 2024    Shanghai Institute for Mathematics and Interdisciplinary Sciences Abstract: Cartan and diagonal subalgebras encode underlying dynamical structures of C*-algebras via their associated groupoids. The existence of Cartan subalgebras in separable, simple, nuclear C*-algebras is closely related to the UCT problem, but even for well-known classifiable ambient C*-algebras, we have …

Diagonals in classifiable C*-algebras 查看全文 »

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