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

发布人:日期:2021年06月15日 16:24浏览数:

 报告人:付昌建 研究员(四川大学)

 时 间:2021年6月20日19:00开始

 地 点:腾讯线上会议 552 288 334



报告摘要:Let $Q$ be the m-loop quiver. Quantized cohomological Hall algebra and its degenerate version of $Q$ were introduced by Reineke.

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

In this talk, we introduce an assoicative algebra $\mathbb{A}$ associated to partitions,which can be viewed as a quantization of the algebra of partitions defined by Reineke. It turns out that $\mathbb{A}$ is isomorphic to the quantized cohomological Hall agebra of $Q$. This talk is based on a joint work with 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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