Matt Gursky: The ASD deformation complex and a conjecture of Singer

Date: 2023-07-11

Time: 10:30 - 11:10

Zoom link:


Matt Gursky, University of Notre Dame


In this talk I will give a brief overview of the deformation complex for anti-self-dual 4-manifolds, and formulate a conjecture (attributed to Singer) about the vanishing of one of the cohomology groups.  I will then report on some recent progress on resolving this conjecture, and its connection to a nonlinear PDE from spectral geometry.

This is joint work with Rod Gover.