The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

401-3536-11L  Geometric Aspects of Hamiltonian Dynamics

SemesterAutumn Semester 2016
LecturersP. Biran
Periodicitynon-recurring course
Language of instructionEnglish



Catalogue data

AbstractThe course will concentrate on the geometry of the group of Hamiltonian diffeomorphisms introduced by Hofer in the early 1990's and its relations to various topics in symplectic geometry such as capacities, Lagrangian submanifolds, holomorphic curves, as well as recent algebraic structures on the group of Hamiltonian diffeomorphisms such as quasi-morphisms.
Objective
LiteratureBooks:
* L. Polterovich: "The geometry of the group of symplectic diffeomorphisms"
* H. Hofer & E. Zehnder: "Symplectic invariants and Hamiltonian dynamics"
Prerequisites / NoticePrerequisites. Good knowledge of undergraduate mathematics (analysis, complex functions, topology, and differential geometry). Some knowledge of elementary algebraic topology would be useful.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits6 credits
ExaminersP. Biran
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 20 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Courses

NumberTitleHoursLecturers
401-3536-11 VGeometric Aspects of Hamiltonian Dynamics3 hrs
Mon10-12HG G 26.1 »
Thu13-14HG G 19.2 »
17.11.13-14HG G 19.1 »
P. Biran

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterSelection: AnalysisWInformation