Dimensions: 1, 2, 3, 4,... by Mahan Mj

Embark on a fascinating journey through the evolution of topology in this ICTS Foundation Day Lecture by renowned mathematician Mahan Mj. Explore the concept of dimensions, starting from Euler's formula for planar graphs and tracing the development of topology over nearly four centuries. Focus primarily on dimensions 1, 2, and 3, with brief forays into the fourth dimension and beyond. Learn from Professor Mahan Mj, Dean and faculty member at the School of Mathematics, TIFR, Mumbai, and recipient of prestigious awards such as the Shanti Swarup Bhatnagar Award and the Infosys Prize for Mathematical Sciences. Gain insights into hyperbolic geometry, geometric group theory, low-dimensional topology, and complex geometry from an expert known for his groundbreaking work on Cannon-Thurston maps and the resolution of the locally connected limit sets conjecture for finitely generated Kleinian groups.