广州数学大讲坛第26期

黄敏副教授、张海诚副教授学术报告

时间:2021-06-17 点击数:

中山大学黄敏副教授学术报告


报告题目:(Quantum) cluster algebras from surfaces II

时间:2021年6月20日(周日)09:45-12:00

地点:腾讯会议ID 342191978

报告人:中山大学黄敏副教授

报告摘要:In the second lecture, we study expansion formulas for (quantum) cluster variables (w.r.t. to any (quantum) seed) of (quantum) cluster algebras from surfaces.

报告人简介:黄敏在浙江大学获得博士学位,现任中山大学数学学院(珠海)副教授。主要从事丛代数及相关领域的研究工作,在Advances in Math., Nagoya Mathematical Journal,SCIENCE CHINA Mathematics等重要数学期刊发表论文多篇。



南京师范大学张海诚副教授学术报告


报告题目:Acyclic quantum cluster algebras via derived Hall algebras

时间:2021年6月25日(星期五)09:45-12:00

地点:腾讯会议ID 416779069

报告人:南京师范大学张海诚副教授

报告摘要:In this talk, let Q be a finite acyclic valued quiver. By considering a certain sub-algebra of the derived Hall algebra of Q, we establish a surjective homomorphism of algebras from this derived Hall sub-algebra to the algebra generated by all quantum cluster characters, which induces a surjective homomorphism of algebras from a derived Hall sub-algebra to quantum cluster algebras with arbitrary coefficients. Explicitly, we firstly give a bi-algebra structure and an integration map on the derived Hall sub-algebra, and then obtain the desired homomorphism of algebras via the composition of three homomorphisms of algebras. In fact, this homomorphism of algebras shows us an intrinsic realization of the quantum Caldero-Chapoton formulas via Hall algebra approach, and it also recovers cluster multiplication formulas. This is the joint work with Changjian Fu and Liangang Peng.

报告人简介:张海诚,南京师范大学副教授。研究领域是代数表示论,主要从事Hall代数,量子群,丛代数等相关问题的研究。主持国家自然科学基金青年基金和江苏省自然科学基金青年基金各一项。在J. Algebra, Math. Z., Int. Math. Res. Notices, J. Pure Appl. Algebra, Acta Math. Sin.等国内外重要学术期刊上发表论文十几篇。

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