標(biāo)題：Hall polynomials of affine type
報(bào)告時(shí)間：2025年9月26日（星期五）9:30-10:30
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院104室
主講人： 鄧邦明
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
Classical Hall polynomials introduced independently by Steinitz and Hall have a close relation with Hall-Littlewood functions and play important roles in the study of representations of symmetric groups and general linear groups. In the 1990s, Ringel defined Hall numbers for representations of quivers over finite fields and proved that in the Dynkin quiver case, Hall numbers are indeed integer polynomials of the cardinalities of ground fields. We prove that Hall polynomials exist for all hereditary algebras of affine type. This talk is based on joint work with Shiquan Ruan and Lina Han.
主講人簡(jiǎn)介：
鄧邦明，清華大學(xué)教授、博士生導(dǎo)師。曾獲得德國(guó)洪堡基金，教育部高校青年教師獎(jiǎng)，教育部自然科學(xué)一等獎(jiǎng)等。主持國(guó)家基金委面上項(xiàng)目多項(xiàng)和重點(diǎn)項(xiàng)目。主要從事代數(shù)表示論與量子群的交叉研究。在Ringel-Hall代數(shù)、量子群和箭圖表示等領(lǐng)域做出了一系列重要科研成果。研究成果發(fā)表于Comm. Math.Helvetici, Adv. Math., Trans. Amer. Math. Soc, Math.Z.等重要學(xué)術(shù)期刊。合作完成兩本學(xué)術(shù)專(zhuān)著，分別由美國(guó)數(shù)學(xué)會(huì)與倫敦?cái)?shù)學(xué)會(huì)出版。
