ABHYANKAR 82nd BIRTHDAY CONFERENCE 

SPEAKER: Natalia Korskova (St. Petersburg)

TITLE: On finite morphisms and curve singularities

ABSTRACT: The talk contains a survey of different achievements and
approaches to ramification theory for extensions, produced by the
finite morphism of schemes in positive characteristic. Study of
singularities of arcs is given, including semi-continuity of
ramification invariants. Open problems in more general case are
discussed. Challenging theory of model morphisms is introduced.