Time: Monday evening, 19:00
Place: Zoom
Here is the notes link
1. Costello K, Gwilliam O. Factorization algebras in quantum field theory[M]. Cambridge University Press, 2016.
2. Lurie J. Derived algebraic geometry X: Formal moduli problems[J]. Preprint. Available at http://www. math. harvard. edu/∼ lurie, 2011.
3. Pantev T, Toën B, Vaquie M, et al. Quantization and derived moduli spaces I: shifted symplectic structures[J]. arXiv preprint arXiv:1111.3209, 2011.
4. Costello K J. Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4[J]. arXiv preprint arXiv:1111.4234, 2011.
5. Costello K. A geometric construction of the Witten genus, II, 2011[J]. arXiv preprint arXiv:1112.0816.
6. Alexandrov M, Schwarz A, Zaboronsky O, et al. The geometry of the master equation and topological quantum field theory[J]. International Journal of Modern Physics A, 1997, 12(07): 1405-1429.
2020/6/9 Tianqing Zhu. Introduction to deformation theory and formal moduli.
2020/6/16 Tianqing Zhu. Elliptic formal moduli problems and some examples.
2020/6/23 Tianqing Zhu. Related Chevalley-Eilenberg cochain complexes for the elliptic L-infty algebras and their D-module structures.
2020/6/30 Tianqing Zhu. The definition of the classical field theory and a quick scanning of the derived algebraic geometry.
2020/7/6 Tianqing Zhu. Cotangent Field Theory and twisted A- and B-model.
2020/9/12 Tianqing Zhu. Factorization Algebra I: Basic definitions and applications.
2020/9/20 Tianqing Zhu. Factorization Algebra II: Derived Higher Hochschild Homology.
2020/10/10 Tianqing Zhu. E_k algebra and P_k algebra.
2020/11/2 Tianqing Zhu. Kontsevich formality and the sketch of the disk formality.
2020/11/14 Peng Yang. Smooth set and 2-bundles.
2020/11/22 Tianqing Zhu. Poisson structure on the Classical observable algebra.
2020/11/30 Xiaoxiao Yang. Heat Kernels on the Riemannian manifolds.
2020/12/7 Peng Yang. Smooth set and 2-bundles