

Seminar on analytic theory of differential equations
December 9, 2015 14:30–16:00, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)






Perverse sheaves and higherdimensional generzlization of Deligne's construction
D. V. Artamonov^{} 
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Abstract:
Let us be given a locally trivial vector bundle with a connection on a punctured Riemann sphere. Threse exists a construction (called a Deligne construction) of all continuations of vector bundle with a connection to a vector bundle on the hole Riemann sphere with a meromorphic connection. In the talk I'll give a multidimentional generalization of this result. The case when singular divisor has nonnormal intersections is also considered.
To obtain such a generalization an algebraic language will be used. The key notion in the construction will be a perverse sheaf.

