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Jean-Baptiste Teyssier (FU Berlin): On a characterization of regularity for holonomic D-modules

05.06.2014 | 17:15


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 DX-modules, then the canonical morphism

RHM1,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 DX module for which RHM,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.


ab  16:45 Uhr,

Arnimallee 3,  Raum 006


Koordinator:  Prof. Dr. Alexander Schmitt


Zeit & Ort

05.06.2014 | 17:15

Hörsaal 1, Arnimallee 3