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Associativity, binary trees and Stasheff's polyhedra

Tuesday, November 15, 2016 - 13:30 to 14:30
Mathematics Seminar Hall
Somnath Basu
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.

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