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Yassine Ngote (University of Leeds) – Different Galois Theories

Category
Pure PGR
Date
@ Tutorial Room 3 (10.28 SAT)
Date
@ Tutorial Room 3 (10.28 SAT), 16:00
Location
Tutorial Room 3 (10.28 SAT)
Speaker
Yassine Ngote
Affiliation
University of Leeds
Category

Abstract: Although Évariste Galois died at the age of 20 after a duel, the ideas he introduced continue to influence modern mathematics nearly two centuries later. In this talk, we will begin with a short refresher on classical Galois theory before moving to differential Galois theory, introducing Picard–Vessiot theory to study linear differential equations. We will then discuss the difference-differential setting, where differential equations are considered together with additional endomorphism(s) acting on the base field, and briefly outline my current research on extending this theory to several commuting endomorphisms..