Lecture (webinar) from a special course
of the ChineseRussian Mathematical Center
«Homological Method in Quantum Field Theory»
Lecturer  
Si Li Professor, YMSC, Tsinghua University 

Bio: Si Li (李思) got his Ph.D. in mathematics from Harvard University in 2011. He is currently a professor at Yau Mathematical Sciences Center (YMSC), Tsinghua University. He works on algebraic and geometric aspects of quantum field theory and string theory. 
This course introduces basic ideas and various recent mathematical developments about quantization that arises from quantum field theory and string theory. The focus is on homological method and its applications in geometry and topology.
The course is addressed to senior and postgraduate students of Mathematics and Physics interested in studying the methods and ideas of modern Mathematical and Theoretical Physics and related topics in Mathematics. The prerequisits are Linear Algebra, Calculus, basic ideas from Differential Equations and Differential Geometry. Some acquaintance with Homological Algebra and Topology is advisable, but not necessary.
Tentative syllabus about the subjects to be covered in this course:
 Perturbative theory and Feynman diagram
 Homotopy algebras and transfer
 MaurerCartan equation and moduli
 BRSTBV formalism
 Renormalization and effective field theory
 Deformation quantization 7. Topological quantum mechanics and index theory
 2d chiral conformal field theory and BV quantization
 Chiral homology and chiral index 10. Topological Bmodel on CalabiYau geometry
 ^{*} Holomorphic ChernSimons: Large N method
 ^{*} BoundaryBulk and boundary transfer
 ^{*} Koszul duality and holography
______________
^{*} The last three topics are tentative, to be covered if time permits.
The lecture will be held in English in the form of a webinar on the Zoom platform.
20:00  21:30 Beijing time（15:00  16:30 Moscow time)
Join Zoom Meeting:
https://zoom.us/j/85422463838?pwd=ZmtCOEExMEFmT21jeWY1QUZ0Y3VFQT09
Meeting ID：854 2246 3838
Passcode：073743
(link may change closer to the event)
Lecture recording
https://rutube.ru/video/9d19253a661e2bcdfd23c5d6fe6eea00/