Explore the fascinating world of symmetries in nature and physics in this online lecture by renowned physicist Rohini M. Godbole. Delve into the deep connection between conservation laws and symmetries of equations of motion, and discover how Emmy Noether's groundbreaking work has influenced modern particle physics. Learn about the role of symmetries in unraveling fundamental laws of nature, including the postulation and discovery of the Higgs boson. Gain insights into various types of symmetries, their mathematical developments, and the concept of symmetry breaking. Understand the importance of rotational invariance and conservation of kinetic quantities in physics. This comprehensive talk covers topics ranging from geometrical symmetries to their applications in particle physics, offering a unique perspective on the interplay between mathematics and our understanding of the universe.