報(bào)告人：陳健敏 教授
報(bào)告題目：Combinatorial approaches to exceptional sequences for weighted projective lines of type (p, q)
報(bào)告時(shí)間：2026年6月10日（周三）下午2：30
報(bào)告地點(diǎn)：騰訊會(huì)議：9580545257
報(bào)告人簡(jiǎn)介：
陳健敏，廈門(mén)大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，博士生導(dǎo)師。研究方向是有限維代數(shù)表示論及非交換代數(shù)幾何。具體包括：有限維代數(shù)上的模范疇及導(dǎo)出范疇，加權(quán)射影線以及Geigle-Lenzing射影空間上的凝聚層范疇及導(dǎo)出范疇，斜群代數(shù)，群作用及等變范疇，傾斜理論，Frobenius-Perron理論，范疇的幾何模型等。先后主持國(guó)家自然科學(xué)基金面上項(xiàng)目，國(guó)家自然科學(xué)基金青年項(xiàng)目，數(shù)學(xué)專項(xiàng)天元基金及福建省自然科學(xué)基金等項(xiàng)目。研究成果發(fā)表在Transactions of the American Mathematical Society, International Mathematics Research Notices, Science China Mathematics, Annales de L'institut Fourier, Journal of Algebra, Algebra & Number Theory, Journal of Pure and Applied Algebra等國(guó)內(nèi)外重要學(xué)術(shù)期刊。
報(bào)告摘要：
In this talk, we provide a geometric realization of exceptional sequences in the category of coherent sheaves over the weighted projective line of type (p, q). As applications, a classification of complete exceptional sequences, an effective method for enlarging exceptional sequences and a combinatorial description of tilting bundles are obtained. Consequently, the number of tilting bundles up to the Auslander-Reiten translation is given. This is a joint work with Yiting Zheng.