Abstract:

Let X be a smooth complex manifold. Let Sol be the functor of solutions for D-modules on X. Traditionally, the fully-faithfulness of Riemann-Hilbert correspondance is proved by showing that if M₁ and M₂ are regular holonomic D_X-modules, then the canonical morphism

RH_M1,M2: RHom(_M1,M2) --> RHom(Sol(M}₂),Sol(M}₁))

is an isomorphism in a derived sense. This talk will deal with the converse statement, namely the following:

Theorem: If M is an holonomic D_X module for which RH_M,M is an isomorphism, then M is regular. The aim of the talk is to explain the meaning of that statement. In particular, we won't assume any prior knowledge of the field of D-modules.

Tee/Kaffee/Gebäck

ab  16:45 Uhr,

Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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