Tuesdays at 12:00PM (EST)/ 6:00PM (CET), on Zoom
Feb 4: Introduction and some facts about Feynman diagrams/graphs. [C] Chapter 2.1, 2.3. Recording, Notes
Feb 11: Cutoffs and length scale renormalization. [C] Chapter 2.2, 2.4-2.5. Recording, Notes
Feb 18 :Definition of (Wilson) Quantum Field Theories. [C] Chapter 2.6-2.9. Recording, Notes
Feb 25 : Counterterms and proof of the main theorem. [C] Chapter 2.10-2.12. Recording, Notes
Mar 4: Vector bundle valued field theories and field theories on non-compact manifolds. [C] Chapter 2.13-2.14, 3.1 Recording, Notes
Mar 11: Main theorem for perturbative field theories on R^n, local renormalization group flow. [C] Chapter 3.2-3.3, 4.1 Recording, Notes
Mar 18: Local renormalization group flow (cont), universality . [C] Chapter 4.1 (cont), 4.2-4.4. Recording ,Notes
Mar 25: Digression: Basics of supergeometry [M] Chapter 4.2 Recording, Notes
Apr 1 Odd symplectic manifolds [M] Chapter 4.4 Recording, Notes
Apr 8 Introduction to BV formalism. [C] Chapter 5.1-5.2, [M] Chapter 4.5-4.7 Recording, Notes
Apr 15 BV formalism in physics, Yang-Mills and Chern-Simons as examples. [M] Chapter 4.8 and [C] Chapter 5.4-5.5 Recording, Notes
Apr 22 Homotopies between theories and obstruction of lifting theories [C] Chapter 5.10-5.11
Apr 29 Quantization of Chern-Simons theory and renormalization of Yang-Mills theory. [C] Chapter 5.14, 6.1-6.5
Main reference: Kevin Costello's Renormalization and Effective Field Theory [C] and his recorded lectures.
Other helpful references (for BV-BRST formalism):
Chapter 1-4:
Basic notions in differential geometry/algebraic topology: Principal/vector bundles, connection/curvature forms, (cohomology of) Lie groups/algebras...
A nodding interest for Quantum Field Theory and its perturbative aspects.
Chapter 5,6:
Basic notions in symplectic geometry: Moment map, symplectic reduction,...
Some affinity for derived/higher geometry.