In the period March 3-5, 2020, the newly established International Center for Mathematical Sciences - Sofia (ICMS-Sofia) and the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences are organizing a series of lectures on Hodge theory and local systems. The goal of this workshop is to introduce a new cutting edge area in modern Mathematics. The main speaker will be Prof. Carlos Simpson, CNRS, Université Côte d'Azur, Nice. Other lecturers will be Prof. Alexander Efimov (Steklov Mathematical Institute of the  Russian Academy of Sciences), Prof. Ludmil Katzarkov (University of Miami, USA; Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences; National Research University Higher School of Economics, Russian Federation), Prof. Viсtor Przyjalkowski (Steklov Mathematical Institute of the Russian Academy [...]