Local theory of regular singular points of linear systems
This lecture, in an exceptional way, will take place on Sunday, 16:00-18:00, in the Room 261.
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Regular and irregular singularities: growth matters.
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Local gauge equivalence (holomorphic, meromorphic, formal). Meromorphic classification of regular singularities.
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Fuchsian singularities as a particular class of regular singularities (Sauvage lemma).
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Formal classification of Fuchsian singularities (Poincaré-Dulac theorem revisited). Resonances. Levelt upper triangular normal form.
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Coincidence of formal and holomorphic classification in the Fuchsian case.
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Integrability of the normal form.
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Towards global theory of Fuchsian systems on
: Monopoles as special classes of rational matrix functions.
Reading: Sections 16A-16E from the Book (printing disabled).
Reminder: Today (actually, on Friday) was the deadline for submission of the home exam 
