Geometry of Directed Polymers
SAYAN DAS – UNIVERSITY OF CHICAGO
ABSTRACT
The model of directed polymer in a random environment is a fundamental model of interaction between a simple random walk and ambient disorder. This interaction gives rise to complex phenomena and transitions from a central limit theorem to novel statistical behaviors. The half-space directed polymer is a variant of directed polymer that studies how polymers behave in the presence of an attractive wall. In this talk, I will introduce this model, explain some of these novel statistical behaviors, highlight some central questions and recent advances in this field. No prior knowledge of this topic will be assumed.