Regular functions of a quaternionic variable
Schedule:
9:00-11:00 and 14:00-16:00 on Monday 30/05, Tuesday 31/05, Wednesday 01/06 and Friday 03/06.
Abstract:
The course is an introduction to functions of a quaternionic variable, focusing on
Complex structures, spinors and projective geometry
Schedule:
15:00-17:00 on Monday 06/06
9:00-11:00 Tuesday 07/06 through Friday 10/06.
Abstract:
1. Hermitian Geometry, intrinsic torsion, twistor spaces
2. Orthogonal complex structures and pure
Slice regular functions on real alternative *-algebras
Schedule:
11:00-13:00, Monday 06/06 through Friday 10/06.
Abstract:
In this course we present the fundamental elements of the theory of slice regular functions on a real alternative ∗-algebra A.
Quaternions, Pythagorean-hodographs, and rotation-minimizing frames
Schedule:
9:00-11:00, Monday 13/06 through Friday 17/06.
Abstract:
It is impossible to parameterize any curve, other than a straight line, by rational functions of its arc length. Nevertheless, the
Quaternionic linear operators and their functional calculus
Schedule:
14:00-16:00 on Monday 04/07,
9:00-11:00 and 14:00-16:00 on Tuesday 05/07 and Wednesday 06/07.
Abstract:
Holomorphic functions play an important role in operator theory because they allow