AIS - Geometric Group Theory (2022)

Venue: Online Mode, NEHU

Dates: 30 May 2022 to 11 Jun 2022


Name:  Dr. Abhijit Pal  Dr. Angom Tiken Singh
Mailing Address:

 Assistant Professor,
FB 551, Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur
Kanpur 208016, Uttar Pradesh, India

Assistant Professor,
Mathematics Department North-Eastern Hill University, Shillong,
Umshing Mawkynroh
Shillong 793022, Meghalaya, India.
Email: abhipal at angomtiken at


Geometric Group Theory is the study of groups treated as geometric objects. The idea of visualizing groups as geometric objects is mainly due to Mikhael Gromov who has revolutionized the subject with his seminal work.

This school is intended towards PhD students and young researchers working in the field of Geometry & Topology. The topics which we aim to cover are: Basic Hyperbolic Geometry, Hyperbolic Groups & its algorithmic properties, Gromov Boundary, Relatively Hyperbolic Groups, Graph of Groups, Structure of a group acting on a tree , Small Cancellation theory, Mapping Class Groups. The participants should be familiar with basic Algebraic topology.