Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.
For any information, please send an e-mail to dgseminar.torino@gmail.com.
The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino).
NEXT TALK
05/11/2026, 11.30, Aula 3, Deparment of Mathematics "G. Peano" , Università di Torino,
Allard Regularity for the Abelian-Yang-Mills-Higs Equation in All dimensions
Abstract: The Abelian Yang-Mills-Higgs equations at critical coupling provide a diffuse approximation to minimal submanifolds of codimension two. I will present an Allard-type regularity theorem for critical points with almost unit energy density in arbitrary ambient dimensions. A key ingredient is a rigidity theorem identifying entire solutions in this regime with the planar degree-one vortex, up to Euclidean symmetries and gauge transformation, without a local minimising assumption. Combining this rigidity with excess decay and an analysis of perturbations of the vortex, we obtain uniform \(C^{2,\alpha}\) estimates for nodal sets. Quantitative gauge control extends these estimates to nonzero complex level sets in a normalized Coulomb gauge. This is joint work with Shengwen Wang.
06/11/2026, 14.30, Sala S, Deparment of Mathematics "G. Peano" , Università di Torino,
Three manifolds after Perelman: topology, geometry and effective rigidity.
Abstract: Our understanding of 3-manifolds has advanced considerably since Perelman's proof of Thurston's Geometrization Conjecture, with many original approaches to the conjecture becoming new exciting theorems in their own right. In the hyperbolic setting, however, determining precisely how a topological description of a 3-manifold determines its geometry has remained a central challenge. I'll review examples and describe some progress toward elucidating geometric information.
FORTHCOMING TALKS
-13th November 2026, Sala Orsi, 11.30, Letizia Branca (University of Milan).