Speaker: Dr. Enric Sole Farre (BIMSA)

Title: From Fueter sections to connections on spheres and back

Time: 9:00-10:00  June 9, 2026 (Tuesday)

Place: MCM110

Abstract: In his PhD, Walpuski constructed examples of Spin(7)-instantons via a gluing procedure, where the gluing data involves nowhere-vanishing Fueter sections. A natural question is then what happens when the Fueter section is allowed to vanish. In this talk, I will describe what is conjectured to occur in the presence of (non-degenerate) isolated zeros and explain how it connects to the study of connections on $S^7$. I will then revisit and extend Waldron's work on connections on $S^7$, showing how it naturally leads to considering some "new" Fueter operators. I will conclude by discussing some ongoing work and open questions related to these constructions.