Speaker: 胡越教授，北京邮电大学

Inviter: 聂思安研究员

Title: Shuffle algebras and their integral forms: specialization map approach

Language: Chinese

Time & Venue: 2025.03.20 14:30-15:30 南楼N818

Abstract: Shuffle algebras were introduced by Feigin-Odesskii, whose benefit is that it provides a combinatorial model for the positive subalgebra of quantum loop algebras in new Drinfeld realization. Enriquez conjectured, and recently proved by Negut-Tsymbaliuk, that the images of this algebra embedding are governed by certain wheel conditions. Another approach to address Enriquez conjecture is by utilizing certain specialization maps. For type A, this was accomplished through works of Feigin, Negut, and Tsymbaliuk. In this talk, we shall generalize the specialization map approach to types B,C,D,G. As a significant application, we also construct a family of PBW bases for the positive subalebra of quantum loop algebras in these types, as well as their integral forms.