報(bào)告題目：Quantum vertex algebras and quantum Yang-Baxter operators

　　報(bào)告人：李海生教授（羅格斯大學(xué)肯頓分校）

　　時(shí)間：2025年6月19日 9:00-10:00 

地點(diǎn)：理學(xué)院1號(hào)樓1-301

　　摘要：Two well known generalizations of (constant) quantum Yang-Baxter operator are rational quantum Yang-Baxter operator and trigonometric quantum Yang-Baxter operator with one spectral parameter, both of which have a deep connection with the theory of quantum vertex algebras. On the one hand, a rational quantum Yang-Baxter operator is an integral part of a quantum vertex algebra, and on the other hand, trigonometric quantum Yang-Baxter operator plays an important role in the theory ?-coordinated modules for a quantum vertex algebra. In this talk, we shall explain the interactions among quantum vertex algebras, -coordinated modules, and quantum Yang-Baxter operators.

　　報(bào)告人簡(jiǎn)介：李海生，美國(guó)羅格斯大學(xué)肯頓分校終身教授，著名華人數(shù)學(xué)家、頂點(diǎn)算子代數(shù)奠基人之一，多年來(lái)一直從事無(wú)窮維李代數(shù)、頂點(diǎn)代數(shù)、頂點(diǎn)算子代數(shù)的重要表示與結(jié)構(gòu)理論的研究。在Duke Math. J.、Adv. Math.、Math. Ann.、Comm. Math. Phys.、Trans. Amer. Math. Soc.、Israel J. Math.、Math. Z.、Selecta Math. (N.S.)、J. Algebra、J. Pure Appl. Algebra等著名期刊發(fā)表高水平學(xué)術(shù)論文100余篇，被同行文章引用超3000篇次，并擔(dān)任Electronic Research Archive雜志的編委。主持多項(xiàng)美國(guó)自然科學(xué)基金，一項(xiàng)中國(guó)自然科學(xué)基金（海外合作項(xiàng)目）。