报告题目：The intersection of enumerative combinatorics with coding theory, mathematical biology, and number theory

报告人：林志聪，山东大学

报告时间：4月24日, 星期五， 上午9:30-10:30, 

报告地点：二教2206

摘要：

I will present three instances of the intersection of Enumerative Combinatorics with Coding Theory, Mathematical Biology, and Number Theory: 

(1)Constrained Coding Bounds via Goulden–Jackson Cluster Theorem.

(2)Proof of a conjecture on tree-child networks proposed by Pons and Batle via Young tableaux with walls.

(3)Arithmetic of tangent numbers and binomial-secant numbers via combinatorial identities and the Kummer $p$-adic Theorem.