Objetivo
I propose to pursue several independent studies in symplectic
geometry and Hamiltonian dynamics. My research objectives are
twofold. First, to solve some of the open research questions
described in the proposal, which I consider to be pivotal in the field.
Some of these questions have already been studied intensively, and
progress toward solving them would be of considerable significance.
Second, the proposed research is closely tied to other fields such
as convex geometry and asymptotic geometric analysis (Problem 1.1
and 1.2) algebraic geometry and mirror symmetry (Problem 1.4) and
the theory of mathematical billiards (Problem 1.3). These
connections have already proved fruitful in tackling questions that
were out of reach for common symplectic methodology thus far, and I
expect further significant results to be within reach. Moreover,
partly due to these ties, this research has a wide range of possible
applications outside of symplectic geometry. Therefore, my second
research objective is to utilize the suggested questions in order to
deepen and broaden the connections between symplectic geometry
and the above mentioned fields.
Ámbito científico
Convocatoria de propuestas
FP7-PEOPLE-2010-RG
Consulte otros proyectos de esta convocatoria
Régimen de financiación
MC-IRG - International Re-integration Grants (IRG)Coordinador
69978 Tel Aviv
Israel