Course image Hyperbolic Geometry - Research Training - 11032024

Research

**Modules **

**Fundamentals of Group Theory, Topology required for geometric group theory****Hyperbolic geometry and its applications****Fundamental groups and universal covers****Algorithms to solve world problems in surface groups.**

Course image Hyperbolic Geometry - Research Program

Research

A reading - research project on hyperbolic geometry, application of calculus and group actions on hyperbolic plane.

Course image Group theoretic Dehn fillings

Research

Group theoretic Dehn fillings was systematically studied by Osin and Groves-Manning around 2005-09. This machinary has found its use in the celebrated work of Ian Agol in the proof of virtual Haken conjecture. Later it was also used Dahmani and Guirardel to study certain isomorphism classes of groups.