报告题目：Bilateral identities of the Rogers-Ramanujan type

报告时间：2026年9月16日下午3：00—4：00

报告地点：雁山理三区3-402智慧教室

报告人：Michael Schlosser教授  奥地利维也纳大学

报告摘要：The classical Rogers-Ramanujan identities have intrigued many mathematicians around the world for more than a century. MacMahon and Schur have independently proposed combinatorial interpretations for these identities, and meanwhile connections to various other areas in mathematics and in physics have been revealed, in particular to Lie theory, statistical mechanics, conformal field theory, probability theory and knot theory. In addition to the Rogers-Ramanujan identities there are numerous identities of similar type, as well as multisum versions. By taking suitable limits in identities for bilateral basic hypergeometric series, we are able to derive a number of bilateral identities of the Rogers-Ramanujan type. Our results include bilateral extensions of the Rogers-Ramanujan and the G\ollnitz-Gordon identities, and of related identities by Ramanujan, Jackson, and Slater. We give corresponding results for multiseries including multilateral extensions of the Andrews-Gordon identities, of Bressoud's even modulus identities, and other identities. The here revealed closed form bilateral and multilateral summations appear to be the very first of their kind.

报告人简介：Michael Schlosser 教授主要从事组合数学与基本超几何级数领域的研究。他现任 JMAA、Ramanujan J.、J. Algebraic Combin. 及 Contrib. Discrete Math. 等国际 SCI 期刊编委，并曾任 2016 与 2017 年度 SASTRA Ramanujan 奖评委。作为多变量基本超几何级数及椭圆超几何级数领域的国际权威专家之一，他在 Adv. Math.、Compos. Math.、Trans. Amer. Math. Soc.、Selecta Math. (N.S.) 等顶尖数学期刊上发表论文 100 余篇，其研究成果极大地推动了该领域的理论发展。