Recent Advances in Low-dimensional Topology

Date: 1 - 12 February 2027

Location: ICTS Bangalore

The past two decades have seen truly remarkable progress in the field of low-dimensional topology, including solutions to the Poincaré conjecture, the geometrisation conjecture, the virtually Haken and virtually fibred conjectures of Thurston, the three- dimensional (generalised) Smale conjectures, the triangulation conjecture, and the four-dimensional Smale conjecture. On the other hand, many problems remain unsolved, for example the Berge and cabling conjectures, the L–space conjecture, the effectiveness of geometrisation, the four-dimensional smooth Poincaré and Schoenflies conjectures, and the full topological surgery conjecture. And, of course, the resolution of old problems has led to new questions regarding the overall structure of low-dimensional manifolds. The goal of this workshop is to bring together experts in these topics and encourage Indian researchers, including PhD students, to engage with these fields.

CMI Enhancement and Partnership Program