University of Oxford



Hamiltonian and quasi-Hamiltonian reduction via derived symplectic geometry


I will explain an approach to Hamiltonian reduction using derived symplectic geometry. Roughly speaking, the reduced space can be presented as an intersection of two Lagrangians in a shifted symplectic space, which therefore carries a natural symplectic structure. A slight modification of
the construction gives rise to quasi-Hamiltonian reduction. In the end I will mention how quasi-Hamiltonian reduction naturally fits into a classical topological field theory called classical Chern–Simons theory.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.


Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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