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 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 GromovWitten invariant"
http://lanl.arxiv.org/abs/1706.09912
Kevin Costello, "The GromovWitten 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/alggeom/9411018
Andrew Strominger, ShingTung Yau, Eric Zaslow, "Mirror Symmetry is TDuality"
http://lanl.arxiv.org/abs/hepth/9606040
Background on the Fukaya Category:
Kenji Fukaya, YongGeun Oh, Hiroshi Ohta, Kaoru Ono, "Lagrangian Intersection Floer Theory: Anomaly and Obstruction"
Paul Seidel, "Fukaya Categories and PicardLefschetz 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:
