Alterman Summer School on Geometric
Algebra and  Kähler Calculus

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ENID & STANLEY
ALTERMAN

 

July 31st- August 4th 2017             Sofia (Bulgaria)

 

Program

 

Lecturers

Rafał Abłamowicz, Danail Brezov, Ramon González, Zbigniew OziewiczJosé Vargas 

Timetable

 

Schedule (updated June 1st)

July 30 (Sunday): Arrival of participants.

July 31 (Monday): Basic Clifford Algebra and Exterior Calculus.


August 1 (Tuesday): Kähler algebra and Fundamentals of Kähler Calculus.

  • Keynote lecture: Riemann surfaces: Meeting point of Algebra, Analysis, Geometry (Prof. Norbert A'Campo)

  • Definitions of Kähler algebra and perspective on the Kähler calculus.

  • Basic Kähler calculus in Cartesian coordinates.

  • Idempotents, ideals, spinors, primitive idempotents, exterior systems, tensor product of Kähler and tangent Clifford algebras.

  • Particles and antiparticles, chirality, leptons, Cooper pairs, idempotents for particles.

  • The real-valued integrations of the complex calculus as an exercise in Kähler algebra.

  • The complex variable formalism as a minor extension of the Kähler calculus over the reals.


August 2 (Wednesday): Excursion.

August 3 (Thursday): Kähler calculus and Computer Calculations.


August 4 (Friday): Quantum mechanics.


August 5 (Saturday): Departure.

 

UNIVERSITY OF ARCHITECTURE, CIVIL
ENGINEERING AND GEODESY

 

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ERICH KÄHLER

 

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