報(bào)告人: 王顯金教授，侯國(guó)林教授
講座日期：2020-12-02
講座時(shí)間：14:40
報(bào)告地點(diǎn)：騰訊會(huì)議（ID：673 847 466）
主辦單位：數(shù)學(xué)與信息科學(xué)學(xué)院
報(bào)告題目1： On fibred coarse embedding of box type spaces
報(bào)告人: 王顯金教授
講座時(shí)間：14:40
講座人簡(jiǎn)介：
王顯金，重慶大學(xué)博士生導(dǎo)師，2008年畢業(yè)于復(fù)旦大學(xué)，獲得博士學(xué)位。主要研究泛函分析、非交換幾何方面問題，目前主持國(guó)家自然科學(xué)基金面上項(xiàng)目一項(xiàng)。在Adv. Math.，J. Funct. Anal.，Israel J. Math.，Bull. Lond. Math. Soc.等雜志發(fā)表多篇文章。
講座簡(jiǎn)介：
In this talk, we introduce a new concept almost fibred coarse embeddability for metric spaces which is a generalization of fibred coarse embeddability given by X. Chen, Q. Wang and G. Yu. Then we show that the sofic approximation of a finitely generated discrete group is almost fibred coarse embeddable into some uniformly convex Banach space if and only if the group admits a proper affine isometric action on some uniformly convex Banach space.
報(bào)告題目2：Some theoretical and applied research on the completeness of generalized eigenvectors of unbounded Hamiltonian operators.
報(bào)告人: 侯國(guó)林教授
講座時(shí)間：16:00
講座人簡(jiǎn)介：
侯國(guó)林，內(nèi)蒙古大學(xué) 教授，博導(dǎo)。主要側(cè)重于探討源于實(shí)際問題的線性算子及分塊算子矩陣的譜理論，特別是非自伴算子，如: 無界Hamilton算子，并注重相關(guān)理論研究在工程力學(xué)等實(shí)際問題中的應(yīng)用。主持在研1項(xiàng)國(guó)家自然科學(xué)基金項(xiàng)目，主持完成1項(xiàng)國(guó)家自然科學(xué)基金項(xiàng)目，連續(xù)主持3項(xiàng)內(nèi)蒙古自然科學(xué)基金項(xiàng)目，并入選2015年度內(nèi)蒙古自治區(qū)高等學(xué)校青年科技英才計(jì)劃。2017年獲內(nèi)蒙古自治區(qū)青年科技獎(jiǎng)，同年獲內(nèi)蒙古自治區(qū)優(yōu)秀科技工作者稱號(hào)。以第一作者或通訊作者在Journal of Computational and Applied Mathematics，Applied Mathematical Modelling，Linear Algebra and its Applications，Applied Mathematics and Computation，The European Physical Journal Plus，Acta Mathematica Sinica (English Series)，Science China Physics-Mechanics & Astronomy，Applied Mathematics and Mechanics (English Edition)，Chinese Physics B，Communications in Theoretical Physics，《中國(guó)科學(xué)：數(shù)學(xué)》，《數(shù)學(xué)學(xué)報(bào)》，《系統(tǒng)科學(xué)與數(shù)學(xué)》，《力學(xué)學(xué)報(bào)》，《固體力學(xué)學(xué)報(bào)》等數(shù)學(xué)、物理和力學(xué)方面的期刊上發(fā)表學(xué)術(shù)論文。
講座簡(jiǎn)介：
The unbounded Hamiltonian operators are a kind of non-selfadjoint operator matrices, which have important applications in the field of continuum mechanics, infinite dimensional linear systems, and optimal control and so on. In order to solve applied mechanics problems rationally, Prof. Wanxie Zhong proposed a new systematical methodology of theory of elasticity (also called the symplectic elasticity approach). The symplectic approach provides a new idea for the development of applied mathematics in China. Its essence is the method of separation of variables based on Hamiltonian systems, and the corresponding mathematical basis is the completeness of the generalized eigenvector system of unbounded Hamiltonian operators. In this talk, we briefly introduces the results on the completeness of the generalized eigenvectors of unbounded Hamiltonian operators from both the theoretical aspect and mechanical application.
