【03-31】The n/d conjecture for nonresonant hyperplane arrangements-Baiting Xie

Title: The n/d conjecture for nonresonant hyperplane arrangements
Speaker: Baiting Xie (谢柏庭), Tsinghua University
Time: 2025-03-31 (Monday) 10:00-11:00
Location: Room 312, New Building, School of Mathematical Sciences

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  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.

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