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代数、数论与几何系列学术报告:Quantized cohomological Hall algebra of the m-loop quiver revisited

发布人:日期:2021年06月15日 15:30浏览数:

报告题目:Quantized cohomological Hall algebra of the m-loop quiver revisited

报 告 人:付昌建研究员(四川大学)

报告时间:2021620日  19:00

报告地点:腾讯会议(552288334

报告摘要:

Let $Q$ be the m-loop quiver. Quantized cohomological Hall algebraand its degenerate version of $Q$ were introduced by Reineke.

In particular,the degenerate cohomological Hall algebra has a nicecombinatorial realization via partitions which has played important role inReineke's approach to DT-invariants of $Q$.

In this talk, we introduce an assoicative algebra $\mathbb{A)$ associated topartitions,which can be viewed as a quantization of the algebra of partitionsdefined by Reineke. It turns out that $\mathbb{A)$ is isomorphic to thequantized cohomological Hall agebra of $Q$. This talk is based on a joint workwith Neil J.Y.Fan and L. Peng.

报告人简介:

付昌建,四川大学研究员,毕业于四川大学,研究方向为代数表示论,近年来主要从事代数表示论与丛代数的联系方面的工作,主持和参与国家自然科学基金项目多项,相关成果发表于Adv math,J Algebra,Math Zeit,Trans AMS等杂志。

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