ICTS

Low-dimensional topology, especially the study of 3 and 4-dimensional manifolds and submanifolds therein, is an important part of modern mathematics, with deep connections to algebraic topology, differential geometry, geometric group theory, as well as theoretical physics. 
The last two decades have seen truly remarkable progress in our field, including solutions to the 3-dimensional 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 simple loop conjecture, 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.  
This programme will bring together experts in these topics and encourage Indian researchers, including PhD students, to engage with these fields.

Eligibility Criteria: PhD candidates, postdoctoral fellows and faculty working in low-dimensional topology and related fields. Knowledge of basic algebraic topology, differential geometry and low-dimensional topology will be assumed.

Accommodation will be provided for outstation participants at our on campus guest house.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.