Kenta Hayano (Keio) title:New counterexamples to Stipsicz's conjecture on fiber-sum indecomposable Lefschetz fibrations abstract: Stipsicz (and independently Smith) showed that a (4-dimensional) Lefschetz fibration over the 2-sphere is fiber-sum indecomposable if it has a section with self-intersection -1. Stipsicz's conjecture is the converse of this statement, which is known to be false: there exist counterexamples with genus 2 (due to Y. Sato) and genus 3 (due to Baykur-Hayano). In this talk, we will explain how to construct counterexamples to Stipsicz's conjecture with any higher genera. If time permits, we will also discuss (symplectic) Kodaira dimensions of these examples. The results in this talk are based on joint work with Refik Inanc Baykur (University of Massachusetts) and Naoyuki Monden (Okayama University).