Systems of Many Forms with Differing Degrees

Explore a 56-minute lecture from the Circle Method and Related Topics program that delves into systems of many forms with differing degrees. Learn from Simon L. Rydin Myerson at the International Centre for Theoretical Sciences as part of a comprehensive workshop designed for senior graduate students and post-doctoral researchers in analytic number theory. Discover advanced mathematical concepts within the circle method framework, a powerful analytic tool that has evolved over a century to address various mathematical challenges including partition functions, Waring problems, and counting rational points on varieties. Gain insights into the method's recent extensions to function fields, number fields, and its applications in L-functions theory, ergodic theory, and the Langlands program. Part of a two-week program featuring expert-led lectures aimed at making complex mathematical concepts accessible to advanced students in the field.