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湖州師范學院黨委宣傳部、新聞中心主辦

數學學科2025系列學術報告之三十二暨數學學科研究生學術論壇

來源:理學院 發布日期:2025-12-09

  報告一題目:An introduction to pluripotential theory

  報告人:王偉

  報告時間:12月10日(星期三)16:00-17:00

  報告地點:理學院1-210

  摘要:I will talk about some basic facts and motivations of pluripotential theory in several complex variables, and extension to several quaternionic/octonionic variables

  報告人簡介:王偉,浙江大學教授、博士生導師。主要從事多復變函數論和復流形理論的研究工作,在《J. Eur. Math. Soc.》《J. Math. Pures Appl.》《Trans. Am. Math. Soc.》《Math. Z.》等雜志發表學術論文60余篇,主持國家自然科學基金面上項目多項。


  報告二題目:Infinite horizon LQ and overtaking optimal control problems for singular Volterra integral equations

  報告人:周華成

  報告時間:12月10日(星期三)16:00-17:00

  報告地點:理學院1-301

  摘要:This work is concerned with infinite horizon linear quadratic optimal control and overtaking optimal control problems for singular Volterra integral equations. The admissible control set under which the cost functional is well-defined is obtained. The characterization of the existence and uniqueness of the optimal control under proper conditions is explored by maximum principle type necessary conditions. By using this characterization, we show that the optimal control for linear quadratic optimal control of the fractional system cannot be obtained by linear feedback with a constant gain satisfying an algebraic Riccatic equation. When the cost functional is unbounded, the overtaking optimal control is studied, and both the existence and nonexistence of a solution for overtaking optimal control in various cases are established by characterizing the weight function.

  報告人簡介:周華成,中南大學教授,博士生導師。主要從事偏微分方程控制理論、隨機控制系統、自抗擾理論、最優控制等理論研究;獲中國科學院院長特別獎,入選國家高層次青年人才,主持國家自然科學基金項目3項;在《IEEE Tans. Automat. Control》《Automatica》《SIAM. J. Conttol Optim》《ESAIM Conttol Optim. Calc. Vat》《Systems Control Lett.》《J. Differential Equations》《J. Optim. Theory Appl.》等雜志發表學術論文。


  報告三題目:On some nonlinear variational problems related to the critical Hartree equation

  報告人:楊敏波

  報告時間:12月10日(星期三)16:00-17:00

  報告地點:理學院1-401

  摘要: In this talk we will introduce several different variational models related to the critical Hartree equation. Firstly, we mainly focus on some variations of the classical Hardy-Littlewood-Sobolev inequality and its weighted case. Secondly, we will introduce the qualitative analysis of the critical Hartree equation and its applications in the study of the stability of a nonlocal version of Sobolev inequality and the asymptotic behavior of solutions of the nonlocal critical Hartree equations. This talk is based on several papers by Xiang Li, Fashun Gao, Vitaly Moroz, Weiwei Ye and Shuneng Zhao.

  報告人簡介:楊敏波,浙江師范大學數學科學學院院長,教授,博士生導師。主要從事非線性分析和橢圓型方程的研究工作,在《Calc. Var. Partial Differential Equations》《Math. Z.》《Commun. Anla. Geom.》《 J. Differential Equations》《Nonlinearity》 等雜志發表論文80余;主持國家自然科學基金面上項目、國際(地區)合作交流項目,浙江省自然科學基金重點項目等多項。


  報告四題目:An introduction the the representations of quotient singularities

  報告人:何濟位

  報告時間:12月11日(星期四)10:30-11:30

  報告地點:理學院1-301

  摘要:Let A be a regular algebra, and let G be a finite group which acts on A. Let A^G=\{a\in A| g(a)=a,\forall g\in G\} be the invariant subalgebra. In general, A^G is not a regular algebra. In this talk, I will give a brief survey of the representations of the singularities of A^G in terms of McKay correspondence.

  報告人簡介:何濟位,杭州師范大學教授,博士生導師。主要從事非交換代數的研究工作,主持國家自然科學基金面上項目3項、青年項目1項,省部級科研項目4項;在《Trans. Am. Math. Soc.》《Math. Z.》《J. Noncomm. Geometry》《Israel J. Math.》《J. Algebra》等雜志發表學術論文。

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