Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore two advanced physics lectures from the 4th Vignayana Patashala series focusing on Phase Transitions and Renormalization Group, delivered by Prof. Arun P. at the Raman Research Institute. Delve into the intricacies of the XY Model, examining its duality principles and vortex formations in the first lecture, followed by an in-depth analysis of the Berezinskii-Kosterlitz-Thouless (BKT) topological transition in the second lecture. Master fundamental concepts in statistical mechanics and condensed matter physics through these comprehensive theoretical discussions spanning over two hours.