SSGHD (268274)

  https://cordis.europa.eu/project/id/268274

  FP7 (2007-2013)

  Studies in Symplectic Geometry and Hamiltonian Dynamics

  Marie Curie Action: "Reintegration Grants" (FP7-PEOPLE-2009-RG)

  symplectic topology  ·  geometry  ·  algebraic geometry

  2010-10-01 Start Date (YY-MM-DD)

  2014-09-30 End Date (YY-MM-DD)

  € 100,000 Total Cost

  Description

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.

  Complicit Organisations

1 Israeli organisation participates in SSGHD.