The Winter School and Workshop "Riemann-Hilbert correspondences" will be held at the Department of Mathematics of the University of Padova from January 29 to February 9, 2018.
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, and to present the state of
the art on the subject.
The School will be taught during the first week, and center around four mini
courses on previous developments. Tutorials will also be offered.
The Workshop will run during the second week and include a series of
colloquium-style talks by top international experts. Research talks by young
participants are also scheduled during the second week.
Among the topics discussed:
Formal and analytic solutions of systems of differential equations
p-adic differential equations
Analytic and arithmetic D-modules
Hodge theory
Microlocal analysis