Tuesday 14 October 2025, 16:00 - 17:00 in HG00.071
Kevin Zwart (Radboud)
On the Euler angles and the Mathieu Conjecture
The Jacobian Conjecture is an old, and still open, problem in algebraic geometry that is notorious for resisting a proof. O. Mathieu discovered a conjecture that implies the Jacobian Conjecture. Mathieu's Conjecture involves integration of finite-type functions on a Lie group. In this talk, we will introduce Mathieu's Conjecture and discuss our own contributions to it. In particular, we will discuss the so-called Euler angles, and a parametrization of simply-connected connected compact Lie groups such as SU(n). If time permits, we will end by applying this to Mathieu's Conjecture and simplify this to a conjecture involving integrating over circles and intervals.