报告人：苏桃（北京雁栖湖应用数学研究院）
时间：2024年6月28日 10：00-11：00
地点：物质科研楼C1124
Basing on examples, we propose a conjecture on the log-concavity of ruling polynomials (Legendrian analogue of Jones polynomials) for Legendrian links. In the case of Legendrian torus knots, we prove the conjecture via a connection to the HOMFLY-PT polynomials. Moreover, we explain some algebraic geometry behind via some 'BPS calculus', in the case of Legendrian links arising from plane algebraic curve singularities. Finally, there is a natural generalization of the conjecture to character varieties. Based on work in progress.
