Differential Equations and Mixed Hodge Structures

Explore the intricate connections between differential equations and mixed Hodge structures in this one-hour seminar presented by Matt Kerr from Washington University in St. Louis. Delve into a comprehensive exploration of topics including introduction to the subject, specific examples, general examples, and the general setup of the theory. Examine the concept of mixed Hodge diagrams and their significance in the field. Investigate periods and their role in understanding these mathematical structures. Analyze the powers of S and kappa series, and their implications. Discover the concept of motific gamma and its relevance to the subject. Conclude with an in-depth look at mixed Hodge structures and their applications in mathematics. This talk, part of the 2021-2022 Fields Number Theory Seminar series, offers valuable insights for mathematicians and researchers interested in the intersection of differential equations and algebraic geometry.