Syllabus
Clifford algebra of a vector space with a scalar product, Spin group, spinor representations, spinor fields, the Dirac operator. Monogenic functions, connection with harmonic functions, Cauchy theorem, Cauchy integral formula and its applications, Morera theorem, Taylor and Laurent series, residue, residue theorem.
Conformal maps in Euclidean space, action of conformal transformations on monogenic functions, conformal invariance.
Annotation
Clifford algebras, Dirac equation, properties of solutions of the Dirac equation on Rn.
Monogenic functions, Cauchy theorem and Cauchy integral formula.
Taylor and Laurent series.
Residuum of monogenic functions, residuum theorem.
Conformal invariance.