Mathematics 277: Topics in Algebraic Geometry (Fall 2002)

Instructor

David R. Morrison

Description

Calabi-Yau manifolds and their use in mathematical physics. Specific topics will include: holonomy of Riemannian manifolds, statement of Yau's theorem, complex projective varieties, Kähler geomtry, constructions of varieties with trivial canonical bundle, period maps, linear and non-linear sigma models, Calabi-Yau compactifications in string theory.

Prerequisites

No formal prerequisites but will draw on graduate level algebra, geometry, topology, and analysis.

Meeting Time

The meeting time will be set at the beginning of the semester, based on the schedules of the students and the instructor.

Course Website

For further information see http://www.cgtp.duke.edu/~drm/mth277/ .
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Last modified: 21 August 2002