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18.969 Topics in Geometry: Mirror Symmetry (MIT) 18.969 Topics in Geometry: Mirror Symmetry (MIT)

Description

This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor. This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor.

Subjects

mirror symmetry | mirror symmetry | deformation | deformation | hodge theory | hodge theory | pseudoholomorphic | pseudoholomorphic | gromov-witten | gromov-witten | cohomology | cohomology | yukawa | yukawa | monodromy | monodromy | picard-fuchs | picard-fuchs | lagrangian floer theory | lagrangian floer theory | homology | homology | SYZ conjecture | SYZ conjecture | submanifolds | submanifolds | K3 surfaces | K3 surfaces | matrices | matrices

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.969 Topics in Geometry: Mirror Symmetry (MIT)

Description

This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor.

Subjects

mirror symmetry | deformation | hodge theory | pseudoholomorphic | gromov-witten | cohomology | yukawa | monodromy | picard-fuchs | lagrangian floer theory | homology | SYZ conjecture | submanifolds | K3 surfaces | matrices

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

Site sourced from

https://ocw.mit.edu/rss/all/mit-allcourses.xml

Attribution

Click to get HTML | Click to get attribution | Click to get URL

All metadata

See all metadata