R609, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 609室)
On the Adjoint Action of Symplectomorphism Groups
László Lempert (Purdue University)
Abstract:
Motivated by constructions in Kähler geometry, in this talk we consider a compact symplectic manifold (X,ω) and the group G of its symplectomorphisms. We study the action of G on the Fréchet space C∞(X) of smooth functions, by pullback, and describe properties of convex functions p:C∞(X)→ that are invariant under this action.