3. 강의목표
This lecture will cover the basics on symplectic and contact geometry and dynamics in the unified framework of symplecto-contact topology.
It will at least cover Part 2 of my lecture note posted in my homepage
https://cgp.ibs.re.kr/~yongoh/621-lecturenote.pdf
After then I will cover basic Floer theory on exact symplectic manifolds. Along the way, I will explain the
A-infinity structure and its relevant homological algebra.
4. 강의선수/수강필수사항
differentiable manifolds, differential topology
5. 성적평가
The grade will be given only by pass and fail and based on the attendance in class.
7. 참고문헌 및 자료
1.Book ``Symplectic topology and Floer homology I, Part I'' Yong-Geun Oh, New Math Monographs 29, Cambridge University Press, 2015.
3 Article ``Contact Hamiltonian dynamics and perturbed contact instantons with Legendrian boundary condition'' Section 2, arXiv:2103.15390.
4. Lecture note ``Elementary Differential Geometry'' Part II Yong-Geun Oh for Math 621-2020 downloadable from https://cgp.ibs.re.kr/~yongoh/621-lecturenote.pdf
8. 강의진도계획
The first half of the semester will be spent to give basics of symplectic and contact geometry such as given in my lecture note.
The second half I will cover basic Floer theory on exact symplectic manifolds.
9. 수업운영
lectures and occasional student presentations
11. 장애학생에 대한 학습지원 사항
- 수강 관련: 문자 통역(청각), 교과목 보조(발달), 노트필기(전 유형) 등
- 시험 관련: 시험시간 연장(필요시 전 유형), 시험지 확대 복사(시각) 등
- 기타 추가 요청사항 발생 시 장애학생지원센터(279-2434)로 요청