The Hebrew University Logo
Syllabus Mirror symmetry - 80893
עברית
Print
 
close window close
PDF version
Last update 12-09-2017
HU Credits: 2

Degree/Cycle: 2nd degree (Master)

Responsible Department: mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Jake Solomon

Coordinator Email: jake@math.huji.ac.il

Coordinator Office Hours: By appointment.

Teaching Staff:
Prof Jake Solomon

Course/Module description:
Mirror Symmetry is a correspondence between complex geometry on one manifold and symplectic geometry on another manifold. This correspondence provides a heuristic for formulating the solution of problems previously considered intractable. Mirror symmetry has been proved in many examples by calculating both sides independently. It remains to provide a mathematically rigorous explanation of why the phenomenon of mirror symmetry exists. This seminar will discuss recent work that sheds light on this question.

Course/Module aims:

Learning outcomes - On successful completion of this module, students should be able to:
Students should become acquainted with current work on mirror symmetry.

Attendance requirements(%):
100

Teaching arrangement and method of instruction: Lecture.b

Course/Module Content:
See course description and additional reading material.

Required Reading:
Not applicable.

Additional Reading Material:
Mohammed Abouzaid, "Homological mirror symmetry without corrections"

http://lanl.arxiv.org/abs/1703.07898

Andrei Caldararu, Junwu Tu, "Computing a categorical Gromov-Witten invariant"

http://lanl.arxiv.org/abs/1706.09912

Kevin Costello, "The Gromov-Witten potential associated to a TCFT"

http://lanl.arxiv.org/abs/math/0509264

Background on Mirror Symmetry:

Maxim Kontsevich, "Homological Algebra of Mirror Symmetry"

http://lanl.arxiv.org/abs/alg-geom/9411018

Andrew Strominger, Shing-Tung Yau, Eric Zaslow, "Mirror Symmetry is T-Duality"

http://lanl.arxiv.org/abs/hep-th/9606040

Background on the Fukaya Category:

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, "Lagrangian Intersection Floer Theory: Anomaly and Obstruction"

Paul Seidel, "Fukaya Categories and Picard-Lefschetz Theory"

Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 100 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
Print