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“九章講壇”第354講 — 常文 副教授

日期:2021-06-02點(diǎn)擊數(shù):

應(yīng)yl7703永利官網(wǎng)邀請(qǐng),陜西師范大學(xué)yl7703永利官網(wǎng)常文副教授將于2021年6月4日進(jìn)行線上學(xué)術(shù)講座。

題目:Quivers with potentials for Grassmannian cluster algebras

時(shí)間:2021年6月4日,上午9:00--10:00 (北京時(shí)間)

騰訊會(huì)議ID:908 262 583,會(huì)議密碼:125914

(鏈接:https://meeting.tencent.com/s/E98rN5HAIeQx)

摘要:We construct quivers with potentials (QPs) for Grassmannian cluster algebras. The mutation of such QP is compatible with the geometric exchange of the Postnikov diagram associated to the quiver. It is also rigid and Jacobian-finite. In fact, we prove that it is the unique rigid QP associated to the Grassmannian cluster algebra up to right-equivalence. Then we consider the Amiot's (generalized) cluster category arising from the QP. It is shown that a kind of auto-equivalence group of the cluster category is isomorphic to the cluster automorphism group of the associated Grassmannian cluster algebra with trivial coefficients. This is joint work with Jie Zhang.

歡迎廣大師生光臨!

 

報(bào)告人簡(jiǎn)介:常文,陜西師范大學(xué)副教授,2015年博士畢業(yè)于清華大學(xué)。研究興趣包括代數(shù)表示論、同調(diào)代數(shù)、叢代數(shù)和拓?fù)銯ukaya范疇等。主持完成國(guó)家自然科學(xué)基金青年項(xiàng)目一項(xiàng),現(xiàn)主持陜西省人才計(jì)劃青年項(xiàng)目。目前在J. Algebra,Math. Z.,Pacific J. Math.,Sci. China Math.等主流數(shù)學(xué)雜志上發(fā)表論文數(shù)篇。

 

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2021年6月2日