Emmy Murphy 氏（MIT）セミナー ＠土セミ(ENCOUNTERwithMATHEMATICS番外編)

Rigidity and flexibility in conformal symplectic geometry

• 日時：2016年3月26日(土)17：00−19：00
• 場所：東京工業大学（大岡山）理学部本館 201号室

Abstract:

Conformal symplectic geometry is a generalization of symplectic geometry, so that small neighborhoods in a conformal symplectic manifold look like standard symnplectic C^n, but only defined up to multiplication by a constant. Conformal symplectic manifolds share much of the geometry of symplectic manifolds, such as Hamiltonian dynamics, Moser's theorem, and Lagrangian submanifolds. We'll discuss the basic facets of this geometric structure, and following this we will discuss two recent theorems in the subject. On the flexibility side (joint with Y. Eliashberg) we discuss an existence result for all manifolds with nonzero first betti number. On the rigidity side (joint with B. Chantraine), we discuss a Lagrangian intersection theorem for C^2 small Hamiltonians.

連絡先：三松　佳彦
TEL:03-3817-1749
E-MAIL:yoshiATmath.chuo-u.ac.jp