Homotopy algebras A(∞), C(∞), B(∞), hGa -- Tornike Kadeishvili (Tbilisi) PHK 22.11.2023

Title: Homotopy algebras A(∞), C(∞), B(∞), hGa
Speaker: Tornike Kadeishvili (A. Razmadze Mathematical Institute of Tbilisi State University)

Abstract:
To construct effective modern algebraic models now are used so called strong homotopy algebras where the classical defining identities like associativity, commutativity, Jakobi, Leibniz, … [1] hold only up to coherent homotopies. We are going to present the notions of homotopy A(∞), C(∞), B(∞), hGa algebras as the structures obtained by changing or adding some structures to standard bar construction. We are going to also present some models and their applications.

Talk given at the Prague-Hradec Králové seminar on Cohomology in algebra, geometry, physics and statistics: