做爱片

 代数与分析视角下的非线性问题青年研讨会

日程安排

Workshop on Nonlinear Problems in Algebra and Analysis

 

Schedule of August 7(Thursday, 立德楼601)

Time	Speaker	Title	Host
8:40-9:00	Opening
9:00-09:40	Chen Bo	Yang-Mills-Higgs-Schrödinger flow	Li Zaizheng
9:40-10:00	Break
10:00-10:40	Dong Xiaojing	Multiplicity of solutions to strongly indefinite equations with concave-convex nonlinearities	Yu Yuanyang
10:40-11:20	Ming Yang	The Elliott–Halberstam Conjecture from a Nonlinear Analytic Perspective	Yu Yuanyang
11:20-14:00	Lunch Break
14:00-14:40	Yao Shanshan	有理曲线和曲面的mu基理论	Li Zaizheng
14:40-15:00	Break
15:00-15:40	Li Pengcheng	Cohomotopy Sets of Manifolds of Small Dimension	Guo Qi
15:40-16:20	Qu Binggang	Potential theory, equidistribution of algebraic integers and essential minimum of Faltings height	Guo Qi

Schedule of August 8 (Friday, 立德楼601)

报告人：陈波(华南理工大学)

报告题目：Yang-Mills-Higgs-Schrödinger flow

报告摘要：In this talk, we introduce the Yang-Mills-Higgs-Schrödinger flow, an infinite-dimensional Hamiltonian flow associated with the Yang-Mills-Higgs functional defined on a holomorphic fiber bundle. This flow naturally generalizes the Schrödinger flow proposed by Ding and Wang to a gauged setting. We explore its geometric structures and establish local well-posedness results. This is joint work with Chong Song.

报告人简介：陈波，博士毕业于中国科做爱片数学研究所，现为华南理工大学做爱片 副教授，其主要从事具有物理背景的Yang-Mills-Higgs场和薛定谔流的研究，相关研究成果发表在CMP, IMRN, Transactions of AMS, Pacific J. Math.，Commun. Contemp. Math.等期刊上。 

报告人：董晓婧(山东科技大学)

报告题目：Multiplicity of solutions to strongly indefinite equations with concave-convex nonlinearities

报告摘要：The aim of this report is to explore the existence and multiplicity of stationary solutions to the strongly indefinite equations with concave-convex nonlinearities. According to a generalized linking argument about the strongly indefinite functional, we prove that there exist two sequences of solutions to the strongly indefinite equations with positive and negative energy respectively.

报告人简介：董晓婧，山东科技大学讲师。博士毕业于中科院数学与系统科学研究院，并于北京师范大学从事博士后研究工作。主持国家自然科学青年基金，天元数学访问学者项目，博士后基金特别资助(站中)及面上资助，山东省自然科学青年基金。主要从事非线性泛函分析中的变分方法与临界点理论的研究，在SIAM J. Math. Anal.，Calc. Var. Partial Differential Equations，J. Different Equations，Sci. China Math.等国际著名期刊上发表论文10余篇。

 

报告人：郭宁(哈尔滨工业大学)

报告题目：群主丛的A1不变性

报告摘要：

报告人简介：哈尔滨工业大学数学研究院副教授，博后工作于俄罗斯圣彼得堡Steklov研究所，巴黎萨克雷大学博士，研究方向是代数几何，尤其是群主丛在算术几何中的应用。

 

报告人：李鹏程(大湾区大学)

报告题目：Cohomotopy Sets of Manifolds of Small Dimension

报告摘要：Cohomotopy sets are important homotopy invariants of manifolds that closely related to the bordism classification of smooth manifolds. In this talk we will briefly review recent progress in the characterization of cohomotopy sets of closed orientable (smooth) manifolds of dimension at most 10.

报告人简介：李鹏程博士，2020年毕业于中国科做爱片大学，2023年加入大湾区大学任助理教授，其主要研究领域是(n-1)-连通维数不超过2n+2的有限CW复形的同伦论及其应用，主要工作发表于Transaction of LMS, Israel Journal of Mathematics, Algebraic and Geometric Topology, Homology, Homotopy and Applications等期刊；主持并结题国家自然科学青年基金项目。

 

报告人：明杨(湖北理工做爱片)

报告题目：The Elliott-Halberstam Conjecture from a Nonlinear Analytic Perspective

报告摘要：The Elliott-Halberstam Conjecture, a central statement concerning the distribution of primes in arithmetic progressions, has traditionally been studied via analytic number theory and sieve methods. In this talk, we explore the conjecture through the lens of nonlinear analysis, recasting its core estimates as functional bounds over high-dimensional, nonlinearly structured parameter spaces. By constructing a functional analytic framework that reflects the behavior of error terms in prime counting functions, we highlight deep analogies with problems in harmonic and nonlinear PDE theory, such as energy functional control, multiscale averaging, and stability under perturbations. This approach not only bridges conceptual gaps between additive number theory and analysis, but also suggests new mathematical strategies for understanding average-case error distributions in sieve theory. Our perspective is motivated by recent developments in additive combinatorics, spectral methods, and the work of Zhang, Maynard, and Tao on bounded prime gaps.

报告人简介：明杨，中共党员，湖北理工做爱片计算机做爱片讲师，2020年博士毕业于中国科做爱片数学与系统科学研究院，曾任华为技术有限公司高级工程师负责计算光刻OPC工业软件研发，曾任中国船舶集团有限公司第七〇九研究所系统设计师。目前研究方向为生成式模型，解析数论。

 

报告人：曲炳钢(北京大学)

报告题目：Potential theory, equidistribution of algebraic integers and essential minimum of Faltings height

报告摘要：Burgos Gil, Menares and Rivera-Letelier computed the essential minimum of Faltings height of elliptic curves up to five decimal places. We shall give several remarks, based on recent breakthroughs of the theory of adelic line bundles on quasi-projective varieties of Yuan-Zhang and the equidistribution theorem of algebraic integers of Smith and Orloski-Sardari.

报告人简介：22年博士毕业于中科院数学所，随后在北大数学中心做博士后。曾在Adv. Math.上发表文章。

 

报告人：沈洋(复旦大学)

报告题目：Isocapacitary estimates of Steklov eigenvalue

报告摘要：In this talk, we firstly introduce the conception and related results of Steklov eigenvalue. Then we introduce a Cheeger type inequality associated with isocapacitary constant for Steklov eigenvalue. This is a joint work with Bobo Hua.

报告人简介：沈洋，博士毕业于清华大学数学科学系，现在复旦大学做爱片 从事博士后工作，其主要从事双曲几何以及随机曲面的研究，相关研究成果发表在CMP, IMRN等国际期刊上。

 

报告人：王凯(中国科学技术大学)

报告题目：Homotopy Theory of Nijenhuis Lie Algebras

报告摘要：The Nijenhuis structure has significant applications in geometry. In this talk, we will explore the deformation theory of Nijenhuis Lie algebras from an algebraic perspective. We will present an L-infinity algebra that controls the deformations of Nijenhuis Lie algebras. Moreover, it will be revealed that this L-infinity algebra is essentially provided by the minimal model of the operad of Nijenhuis Lie algebras. Consequently, we introduce higher versions of Nijenhuis Lie algebras, namely homotopy Nijenhuis Lie algebras. Additionally, we will investigate the connection between our construction and the profile of Nijenhuis geometry introduced by Merkulov.

 

报告人：文学清(重庆理工大学)

报告题目：Parabolic Hitchin systems of type D

报告摘要：Hitchin system is an interesting object at the intersection of algebraic geometry, geometric representation and mathematical physics. We will mainly talk about the parabolic Hitchin system system in type D, especially the generic fibers and the Hitchin base. We show that the parabolic Hitchin fiber is a torsor of a self-dual abelian variety if and only if the associated nilpotent orbit is special, which is an important concept introduced by Lusztig in the study the geometric representation nature of the nilpotent orbits. Meanwhile, we also give a concrete description of the Hitchin base of parabolic Hitchin systems in type D. Surprisingly, when we insert the information of cotangent bundle of a flag variety to the Hitchin system, then the Hitchin base contains some new functions more that the coefficients of the characteristic polynomial in type D. We call these new functions by “new pfaffians” following Donagi. We give a comprehensive construction for all the “new pfaffians” and then show the Hitchin base is an affine space in this case. This talk is based on an on-going work with Yaoxiong Wen and Bin Wang.

报告人简介：毕业于中国科做爱片数学与系统科学研究院，现于重庆理工大学数学科学中心工作。 

 

报告人：姚姗姗(北京邮电大学)

报告题目：有理曲线和曲面的 mu 基理论

报告摘要：有理曲线曲面的mu基理论是代数几何中的合冲模理论和计算几何中的动曲线曲面理论相结合的产物，为曲线曲面的快速隐式化、奇点计算、求交计算、点逆公式表达等基础问题带来了全新的快捷计算途径。本报告主要介绍有理曲线和曲面的mu基理论，以及合冲模理论与mu基理论之间的联系和在其中的作用。

报告人简介：姚姗姗，北京邮电大学数学科学做爱片特聘副研究员，博士导师。主要从事计算机辅助几何设计与计算代数几何等相关方向的研究，主要研究内容为有理曲面的表示和求交，相关成果发表在TOG, CAD和CAGD等期刊，主持国家自然科学青年基金一项。

 

报告人：张启迪(香港科技大学)

报告题目：Some recent progress in the parabolic gluing method

报告摘要：We will present some recent progress on the construction of finite-time singularity, global dynamics especially in the energy-critical heat equation type, harmonic map heat flow, and Landau-Lifshitz-Gilbert equation.

报告人简介：张启迪主要从事发展方程的有限时间爆破解以及解的长时间行为方面的研究，发展了抛物gluing方法，部分成果已被JDE, Nonlinear Analysis, CVPDE等杂志接受。

 

报告人：张旭成(北京航空航天大学)

报告题目：Compact moduli spaces of sheaves on a curve

报告摘要： It is a classical result that the semistable vector bundles on a curve form a compact moduli space. In a joint work with Andres Fernandez Herrero and Dario Weissmann, we show this is the only open condition on families of sheaves that yields a compact moduli space. This is based on the preprint arXiv: 2504.11155.

报告人简介：张旭成，现任职于北京航空航天大学数学科学做爱片。2022年于德国杜伊斯堡-埃森大学获得博士学位。研究方向为代数几何，特别是代数叠上的稳定性条件和通过代数叠来构造模空间，包括代数簇上主丛的模空间以及约化群作用下的商空间。