報(bào)告題目：Matrix representations for Dirac operators with finite spectrum

報(bào)告人：李昆副教授

邀請(qǐng)人：鄭召文教授

報(bào)告時(shí)間：12月5日上午10：30—11：30

報(bào)告地點(diǎn)：白云校區(qū)一教602

報(bào)告摘要：In this talk, we construct a class of regular Dirac operator which has at most n=2m+1 eigenvalues. Moreover, we identify a class of Dirac equations such that for any Dirac operator problem composed of such an equation and an arbitrary separated or real coupled self-adjoint boundary condition, it can be represented as an equivalent finite dimensional matrix eigenvalue problem. Conversely, given any matrix eigenvalue problem of a specific type and an appropriate separated or real coupled self-adjoint boundary condition, we construct a class of Dirac operators with the specified boundary condition. Each of these Dirac operators is equivalent to the given matrix eigenvalue problem, where equivalence implies that they possess exactly the same eigenvalues.

報(bào)告人簡介：李昆，曲阜師范大學(xué)副教授，碩士研究生導(dǎo)師，主要從事常微分算子譜理論的研究。主持國家自然科學(xué)基金青年基金、山東省自然科學(xué)基金面上項(xiàng)目、山東省自然科學(xué)基金青年項(xiàng)目、中國博士后科學(xué)基金面上項(xiàng)目以及優(yōu)秀專著出版項(xiàng)目各一項(xiàng)。相關(guān)成果發(fā)表在Stud. Appl. Math, Bull. Sci. Math., P. EDINBURGH MATH. SOC, J. Math. Phys., 中國科學(xué), 數(shù)學(xué)物理學(xué)報(bào)等國內(nèi)外學(xué)術(shù)期刊上。