Singularity models for Z/2 harmonic 1-forms and spinors

Name: Singularity models for Z/2 harmonic 1-forms and spinors
Start: 2025-10-24T15:30:00-04:00
End: 2025-10-24T16:30:00-04:00
Location: Science Center 507

SEMINARS: GAUGE THEORY AND TOPOLOGY

When: October 24, 2025

3:30 pm - 4:30 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Yingying Wu (University of Houston)

We introduce local models for a Z/2 harmonic 1-form or spinor on R^{3} and R^{4} near a singular point in their zero loci based on symmetry considerations. The local models are homogeneous with respect to rescaling, with their zero loci given by rays from the origin in R^{3} and cones on the 1‑skeleton of regular 4‑polytopes invariant under subgroups of SO(4).