The BV formalism in classical and quantum field theories

Lecture 1.1: The general setup for the classical BV formalism.

Lecture 1.2 - The algorithm for constructing a BV theory.

Lecture 1.3 - The shifted symplectic pairing

Lecture 1.4 - Examples

Lecture 2: Symmetry and Supersymmetry

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Lecture notes 

Lecture 2.1 - Introduction and Overview

Lecture 2.2 - Spin representations and supertranslation

Lecture 2.3 - Examples of supertranslation algebras

Lecture 2.4 - Minimal supersymmetry in dimension 4

Lecture 2.5 - Symmetries of shifted symplectic spaces

Lecture 2.6 - Symmetries in the BV formalism

Lecture 3.1 -Actions of L-infinity algebras

Lecture 3.2 - Actions of supertranslation algebras

Lecture 4: Supersymmetric Yang-Mills Theories

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Problems 

Lecture 4.1 - Classification of super Yang-Mills theories

Lecture 4.2 - The idea of twisting supersymmetric theories

Lecture 4.3 - The formal definition of twisting

Lecture 4.4 - Topological twists

Lecture 4.5 - Twisting super Yang-Mills theory