17th Santaló Summer School / Program


Geometric Algebra and Geometric Calculus,
with Applications to Mathematics, Physics and Engineering


Monday, 22 August 2016

09:30
Opening.

10:00 David Hestenes:
Unification of Mathematics with Geometric Algebra (GA).

11:00 Sebastià Xambó:
Algebra and Geometry in current university curricula.

12:30 Joan Lasenby:
The gradient operator, reciprocal frames, curvilinear coordinates.

15:00 Anthony Lasenby:
Introduction to spinors and wave equations.

16:00 Leo Dorst:
Structure Preserving Representation of Euclidean Motions through Conformal Geometric Algebra (CGA).

Tuesday, 23 August 2016

09:30 David Hestenes:
Unification of Physics with Spacetime Algebra.

10:30 Sebastià Xambó:
On axiom systems for GA.

12:00 Joan Lasenby:
Multivector differentiation and Linear Algebra.

15:00 Anthony Lasenby:
Lagrangian formulations and symmetries.

Wednesday, 24 August 2016

09:30 David Hestenes:
Geometric Calculus and Differential Forms.

10:30 Leo Dorst:
Quaternions, Rotors, Versors (I): Orthogonal Transformations as Vector Multiplications or Bivector Exponentials.

12:00 Sebastià Xambó:
A view of F. Klein's geometries through GA.

Thursday, 25 August 2016

09:30 Anthony Lasenby:
Gravity as a Gauge Theory.

10:30 Joan Lasenby:
Groups, Projective Geometry and Invariants.

12:00 Leo Dorst:
Quaternions, Rotors, Versors (II): Roots, Logarithms and Interpolation.

15:00 David Hestenes:
Geometry of Dirac Electron Theory.

16:00 Sebastià Xambó:
Enriching Abstract Algebra with GA.

Friday, 26 August 2016

09:30 Anthony Lasenby:
GA approach to topics in Gravitational Physics and Cosmology.

10:30 Leo Dorst:
Total Least Squares Fitting of Hyperspheres and Hypercircles using Conformal Geometric Algebra.

12:00 Joan Lasenby:
Applications in Computer Vision, Fluids, Elasticity...

13:00
Closing.