3 problems

Let $u$ be a solution of the half-harmonic gradient flow into $S^1$, with bubbling understood as concentration of the flow producing a bubble. Sire–Wei–Zheng conjecture. Bubbling m…

Let $(M_n,\mathbf{g}_n)_n$ be a sequence of compact smooth Ricci-flat metrics converging in the Gromov–Hausdorff sense to a Ricci-flat orbifold $(M_o,\mathbf{g}_o)$, while Eguchi–H…

Bubbling for Yang–Mills. Either $T_{+}=\infty$, or there are such sequences for which $A_{(n)}$ converges, through its curvature, to a Lorentz transform of a nontrivial finite-ener…