Explore linear representations of the Grothendieck-Teichmuller group in this 46-minute lecture by Ted Chinburg, presented as part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences. Delve into advanced topics in algebraic geometry, number theory, and group theory, examining the properties and applications of these representations. Gain insights into the connections between the Grothendieck-Teichmuller group and various areas of mathematics, including arithmetic geometry and Galois theory. Enhance your understanding of this complex subject through Chinburg's expert analysis and explanations, suitable for researchers and advanced students in mathematics.