The school is aimed at graduate students, postdocs and faculty that are interested in various areas of geometry and topology. Lectures are intended to be accessible, requiring only a general graduate-level background rather than specialized expertise.
Mini-courses:
Symplectic topology is rooted in the study of dynamical systems arising from Hamiltonian mechanics. These systems are volume preserving, since they conserve the symplectic form, and they exhibit many rigidity properties, e.g. homological lower bounds on the number of periodic orbits. On the other hand, many naturally occurring dynamical systems in symplectic topology are not conservative, but instead conformally shrink and expand the symplectic form. These conformally symplectic systems include contactomorphisms and the flows of Liouville vector fields. The dynamical behavior of these systems is closely related to many open problems in symplectic topology. This mini-course will serve as an introduction to conformally symplectic dynamics and the many interesting open questions in the area.
Dirac discovered his eponymous equation almost one hundred years ago while investigating relativistic quantum mechanics. Since then (the Riemannian version of) the Dirac equation has played a central role in the development of geometry and topology. In this minicourse, after introducing the basic setup of spin geometry and discussing the basic properties of the Dirac equation, we will discuss its relation with differential geometry, algebraic topology and low-dimensional topology, with concrete applications in mind.
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Registration:
All are welcome to attend. We ask that you register here as soon as possible, so that we may plan accordingly.
Schedule
Each course will feature three to four lectures. There will be dedicated time for informal Q&A and interaction among participants. A detailed timetable will be released later on.
Logistic information
Getting to the Weizmann Institute
By Train
The Rehovot Railway Station is located immediately adjacent to the Institute. A pedestrian entrance (the "Train Gate") is situated directly in front of the station exit.
Navigation: You can find the gate and nearby buildings on the Weizmann Institute Campus Map.
By Car
If you plan to arrive by private vehicle, you must provide your car license plate number in the registration form to ensure campus access and parking.
Accommodations
We are unable to provide accommodations for all participants. However, limited options may be available for those traveling from a significant distance. Please contact the administrator for more information.
Administrator
For any questions or requirements, please contact Paula-Lorena Shalom (paulal@weizmann.ac.il).
