Date/Time
27 September 2026 - 2 October 2026
Organized by
Anton Alekseev (Geneva), Ana Cannas da Silva (ETH Zürich), River Chiang (NCKU), Liat Kessler (Haifa), Joseph Palmer (Amherst), Daniele Sepe (Medellın)
Event page & registration
https://indico.global/event/13801/
Description
Originating in classical mechanics, Hamiltonian geometry is currently an active and flourishing area of symplectic geometry with many connections to other fields, both within and outside mathematics. Loosely speaking, the main objects of study are spaces on which the most basic measurement that can be made is area, with symmetries that have a conserved quantity. More formally, these are Hamiltonian group actions on symplectic manifolds. Equivariant methods, together with computational techniques, have revolutionized our understanding of Hamiltonian spaces and their classification, whether viewed as varieties or manifolds. The symplectic framework features a delicate interaction between the algebraic, (almost) complex, and symplectic structures.
The international conference “Contemporary Trends in Hamiltonian Geometry” aims to bring together mathematicians of different backgrounds and at different stages of their careers in order to connect and expand equivariant results and techniques across different categories. The geographic breadth of senior researchers in this area has a notable global reach. Hamiltonian geometry is at a particularly exciting time due to recent results in GKM theory, complexity one spaces, and toric geometry. The conference will showcase fundamental new results in the area, as well as exciting applications of Hamiltonian techniques to algebraic, complex and symplectic geometry. As such, the talks will cover a wide range of topics including equivariant symplectic topology, cohomological and homotopical invariants, the interplay between Hamiltonian actions and algebraic invariants, bridges between soft (equivariant) and hard (holomorphic) methods, Lie theory, representation theory, and quantization.
Location
SwissMAP Research Station, Les Diablerets, Switzerland
