威尼斯人娱乐场

Moduli Spaces and Related Topics

Organizers：

Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker：

Baiting Xie (Qiuzhen College, Tsinghua University)

Time：

Wed., 16:00–17:00

Feb. 26, 2025

Venue：

C654, Shuangqing Complex Building A

Title：

The n/d conjecture for nonresonant hyperplane arrangements

Abstract：

Given a polynomial f, it is difficult to determine the roots of its b-function b_f explicitly. In particular, when f is a homogeneous polynomial of degree d with n variables, it is open to know when n/d is a root of b_f. For essential indecomposable hyperplane arrangements, this is a conjecture by Budur, Musta\c{t}\u{a} and Teitler and implies the strong monodromy conjecture for arrangements. In this talk, I will introduce a cohomological sufficient condition given by U. Walther and use this result to prove the n/d conjecture for weighted hyperplane arrangements satisfying the nonresonant condition. This is joint work with Chenglong Yu.