Braids in Algebra, Geometry and Topology

Braid groups are a key tool in several parts of algebra, geometry and topology. Representative examples include the theory of quantum groups, hyperplane arrangements and knot theory. The school will introduce participating students to some important new developments in each of these very active areas of mathematics, focusing on the unifying role of braid group. In adopting this approach, we aim to present a larger picture of mathematics to students and counteract a trend towards early specialization and exclusive focus on one narrow research topic. In addition, we hope that the school will boost interdisciplinary research as well as help promoting exchanges and collaborations between mathematicians in the region and experts from Europe, Japan and the United States.