Claremont Topology Seminar: Puttipong Pongtanapaisan (Arizona State university)

We welcome all undergraduates and graduate students to attend topology seminar!

Speaker: Puttipong Pongtanapaisan (Arizona State University)

Title: Building Knotted Objects Efficiently

Abstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. Certain knots require specific types of handles to be attached first, preventing them from fitting into small lattice tubes. This is particularly relevant as polymers in confinement are modeled as knots within lattice tubes. In this talk, I will discuss methods for studying these handles and their attachment order using coloring games applied to link diagrams.