Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
This conference talk by Marina Poulet explores the concept of regular singularities in Mahler systems, recorded during the "Galois differential Theories and transcendence" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France. Discover how the density theorem of Schlesinger, which ensures that the monodromy group of a differential system with regular singular points is Zariski-dense in its differential Galois group, has analogs for difference systems including q-difference and Mahler systems. Learn about the good analytical properties of solutions to difference or differential systems with regular singularities, such as the moderate growth at 0 exhibited by solutions of differential systems that are regular singular at 0. Understand why general algorithms for recognizing regular singularities apply to many systems like differential and q-difference systems but not to Mahler systems, which appear in areas like automata theory. The presentation details how to recognize regular singularities of Mahler systems, representing joint work with Colin Faverjon. The video includes chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification, allowing for targeted viewing and enhanced learning experience.
