报告人：季青

时 间：2026-10-25 08:30:00

地 点：L-2620

报告摘要：Context-free grammars were introduced into combinatorics by Chen in 1993 and extended to other combinatorial models by Dumont in 1996. In this talk, I will present a q-analogue of this framework, called the q-derivative grammar. We establish the foundations of q-grammars and develop a q-grammar calculus for computing associated q-exponential generating functions. As applications, we construct explicit (q)-grammars for (q)-Eulerian, (q)-Roselle, and (q)-André polynomials, deriving their generating functions and recurrence relations. This approach extends grammatical methods to the (q)-setting and provides a tool for studying (q)-analogues of classical enumerative results. This is joint work with Guo-Niu Han and Huan Xiong.

专家简介：季青，天津大学国家应用数学中心教授，2017 年国家优青获得者。主要从事计数组合学的研究，解决了沃尔夫奖获得者和多位美国科学院院士提出的猜想和公开问题，相关成果发表在包括 J. Reine Angew. Math., Adv. Math., Trans. Amer. Math.Soc., J. Combin. Theory Ser. A 等期刊上，并被多位著名学者在包括权威杂志 Notice AMS 上正面引用。多次主持国家自然科学基金项目并参与国家自然科学基金委的创新群体项目和重点项目。