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Course Info

  • Course Number / Code:
  • 18.969 (Fall 2006) 
  • Course Title:
  • Topics in Geometry 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Prof. Marco Gualtieri 
  • Course Introduction:
  •  


  • 18.969 Topics in Geometry



    Fall 2006




    Course Highlights


    This course features an extensive set of assignments and lecture notes.


    Course Description


    This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry.
     

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