Quantum homotopy algebras and the homological perturabtion lemma.

Branislav Jurco (Charles U, Prague)

Sep 10. 2020, 15:30 — 16:30

Quantum homotopy algebras are a generalization of homotopy algebras (such as, e.g.,  L-, A-,infinity algebras) with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum homotopy algebra via the homological perturbation lemma and show that it's given by a Feynman diagram expansion, computing the effective action in the finite-dimensional (noncommutative) Batalin-Vilkovisky formalism. We also construct a homotopy between the original and this effective quantum homotopy algebra.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory - partially postponed (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)