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Fundamental relations in quantum cluster algebras
时间:2025年09月05日 20:53 点击数:

报告人:徐帆

报告地点:腾讯会议ID: 261773264

报告时间:2025年09月11日星期四14:00-15:00

邀请人:扶先辉

报告摘要:

In this talk, we show two relations between Hall algebras and quantum cluster algebras with  principal coefficients. The first relation is that there exists an  algebra homomorphism from the derived Hall algebra of an acyclic quiver to the corresponding acyclic quantum cluster algebra with principal coefficients. The second relation is that quantum Serre relations hold in any quantum cluster algebra with  principal coefficients. This talk is based on the papers joint with Chen Xueqing, Ding Ming, Huang Junyuan and Zhang Haicheng.

主讲人简介:

徐帆,清华大学数学科学系副教授、博士生导师。研究方向为代数表示论。主持国家自然科学基金面上项目多项。与合作者在三角范畴上Hall代数与(量子)丛理论等领域取得一系列结果,在Duke Math. J.、Trans. Amer. Math. Soc.、Math. Z.、J. Algebra等期刊发表高水平论文二十余篇。

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