# News & Events

## Associativity, binary trees and Stasheff's polyhedra

Date/Time:
Tuesday, November 15, 2016 - 13:30 to 14:30
Venue:
Mathematics Seminar Hall
Speaker:
Somnath Basu
Affiliation:
IISER Kolkata

Abstract: We shall discuss associative binary structures and analyze why such a structure is not a homotopy invariant. This naturally leads to higher associative structures, often called $A_\infinity$ structures, which are prevalent in topology, geometry and mathematical physics. We shall discuss a recognition principle for $A_\infinity$ spaces. We will explain why certain polytopes, which are of great combinatorial interest on its own, govern maps between $A_\infinity$ spaces. The talk will be self-contained.