Applications of Delta Method in Number Theory - Lecture 2

Explore a comprehensive lecture on the Applications of Delta Method in number theory, presented by Keshav Aggarwal at the International Centre for Theoretical Sciences. Part of a broader workshop on Circle Method and Related Topics, this 95-minute lecture delves into advanced mathematical concepts aimed at senior graduate students and post-doctoral researchers. Learn essential techniques within the analytic theory of numbers, building upon the circle method's century-long evolution and its applications in studying partition functions, Waring problems, and rational points on varieties. Gain insights into the method's modern extensions to function fields, number fields, and its connections to L-functions, ergodic theory, and the Langlands program. Designed for PhD students (third year and above) working in related mathematical fields, this lecture contributes to a larger program fostering an inclusive environment for diverse mathematical minds.