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Seminario di Analisi Algebrica e Complessa: On the Riemann-Hilbert correspondence for irregular holonomic D-modules - part I and II

Giov. 20/11/2014, ore 10:00 - Sala Riunioni VII Piano e Merc. 26/11/2014, ore 15:00 - Aula da determinarsi - A. D'Agnolo

ARGOMENTI: Seminari

Seminario di Analisi Algebrica e Colmplessa

Giovedì 20 Novembre 2014, alle ore 10:00 in Sala Riunioni al VII piano e Mercoledì 26 Novembre 2014, alle ore 15:00 in aula da determinarsi, Andrea D'Agnolo terrà una serie di seminari dal titolo "On the Riemann-Hilbert correspondence for irregular holonomic D-modules - part I and II".

Abstract
In a joint work with Masaki Kashiwara, we prove a Riemann-Hilbert correspondence for holonomic D-modules which are not necessarily regular. The construction of our target category is based on the theory of ind-sheaves by Kashiwara-Schapira and influenced by Tamarkin's work. Among the main ingredients of our proof is the description of the structure of flat meromorphic connections due to Mochizuki and Kedlaya.
In this talk I will present an overview of the ideas underlying our construction, sweeping under the carpet the more technical points.
Applications to the topological computation of Stokes phenomena will also be discussed.