Math 191c
 
Motives and Feynman Diagrams
Spring 2011-12
 
MWF 1:00 PM, 257 Sloan
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor: Susama Agarwala, Sloan 276, 626-395-4347, susama@caltech.edu
Office Hours:  By appointment
Announcements
 

 


 
 



Course Description
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This course will explore motives found in Feynman integrals. The first half of this course will focus on understand Mixed Tate Motives. The second half will apply them to Feynman diagrams. I do not intend to spend a lot of time developing Feynman integrals of perturbative QFTs.  

Policies
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The course will be graded on student participation and a final presentation.

Textbooks
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Material for this course will come from several sources, including the following textbooks.

Matilde Marcolli, Feynman Motives

Marc Levine, Mixed Motives

Claire Voisin, Hodge Theory and Complex Algebraic Geometry I: Volume 1

Masaki Kashiwara, Pierre Schapira, Categories and Sheaves


Topics
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Topic  
Mixed Tate Motives Generally following Marc Levine, Six Lectures on Motives
   
   
   
   

References
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Topic Possible  Additional Reference
Motivation Itzikson & Zuber, Quantum Fields, 6.2.3
Triangular categories Categories and Sheaves
Correspondences and Higher Chow groups Lecture Notes on Motivic Cohomology
Useful definitions
 

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