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Aim of the Winter School and Workshop

Recent groundbreaking developments in the theory of irregular holonomic D-modules have brought to light new relationships among D-module theory and other subjects such as Non Commutative Hodge theory, Mirror Symmetry and Microlocal Analysis.
The aim of this event is twofold: to provide an introduction to this new active area for young students and researchers (4 courses on previous developments will be delivered during the first week), and to present the state of the art on the subject (several talks by top international experts are scheduled for the second week). Research talks by young participants are also scheduled during the second week.

The "Riemann-Hilbert correspondences" Winter School and Workshop will be held
at the Department of Mathematics of the University of Padova from January 29 to February 9, 2018.
The School will be taught during the first week and center around four mini courses on previous developments.
The Workshop will run during the second week and include a series of colloquium-style talks by top international experts.

Among the topics discussed:
Formal and analytic solutions of systems differential equations
p-adic differential equations
Analytic and Arithmetic D-modules
Hodge theory
Microlocal analysis