Explore the fundamental concepts of torsion and basic curvature tensors for algebroids in this Prague Mathematical Physics Seminar talk. Delve into their role as derived objects for differential graded manifolds and examine their significance in sigma models, particularly Poisson and Courant models. Learn how these tensors manifest in the corresponding BV theory. Gain insights into connections, functions, and special connections, including induction connections. Investigate E-torsion, Q-torsion, and Q-basic concepts. Discover the applications in field theory and explore relevant examples. Understand the importance of simple structures, ordinary connections, and covariant forms. Examine the BV operator, direct sigma, and Atiyah cocycle. Enhance your understanding of mathematical physics through this comprehensive exploration of curvature and related concepts.