Chennai Mathematical Institute

Seminars




2.00 pm, Lecture Hall 802
Higher analogs of simplicial and combinatorial complexity

Amit Kumar Paul
IIT Kanpur.
03-10-19


Abstract

In this talk I will introduce higher-dimensional analogues of simplicial complexity for a simplicial complex K and that of combinatorial complexity for a connected finite T_0 space P. Next, I will explain the relationship between the simplicial complexity of K and the topological complexity of its geometric realization. Furthermore, I will also outline the connections between the combinatorial complexity of P and the simplicial complexity of its order complex.