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SUMMARY:Contemporary Trends in Hamiltonian Geometry
DTSTART:20260927T170000Z
DTEND:20261002T120000Z
DTSTAMP:20260910T042900Z
UID:indico-event-13801@indico.global
CONTACT:contact@swissmaprs.ch
DESCRIPTION:Speakers: Yael Karshon (Tel Aviv University)\, Tara Holm (Corn
 ell University)\, Silvia Sabatini (University of Cologne)\, Rebecca Goldin
  (George Mason University)\, Liat Kessler (University of Haifa)\, River Ch
 iang (Cheng Kung University)\, Joseph Palmer (Amherst College)\, Daniele S
 epe (University of Colombia at Medellin\,)\, Ana Cannas da Silva (ETH Zuri
 ch)\, Anton Alexeev (Universite de Geneve (CH))\n\nOriginating in classica
 l mechanics\, Hamiltonian geometry is currently an active and flourishing 
 area of symplectic geometry with many connections to other fields\, both w
 ithin and outside mathematics. Loosely speaking\, the main objects of stud
 y are spaces on which the most basic measurement that can be made is area\
 , with symmetries that have a conserved quantity. More formally\, these ar
 e Hamiltonian group actions on symplectic manifolds. Equivariant methods\,
  together with computational techniques\, have revolutionized our understa
 nding of Hamiltonian spaces and their classification\, whether viewed as v
 arieties or manifolds. The symplectic framework features a delicate intera
 ction between the algebraic\, (almost) complex\, and symplectic structures
 .\nThe international conference “Contemporary Trends in Hamiltonian Geom
 etry” aims to bring together mathe-maticians of different backgrounds an
 d at different stages of their careers in order to connect and expand equi
 variant results and techniques across different categories. The geographic
  breadth of senior researchers in this area has a notable global reach. Ha
 miltonian geometry is at a particularly exciting time due to recent result
 s in GKM theory\, complexity one spaces\, and toric geometry. The conferen
 ce will showcase  fundamental new results in the area\, as well as exciti
 ng applications of Hamiltonian techniques to algebraic\, complex and sympl
 ectic geometry. As such\, the talks will cover a wide range of topics incl
 uding equivariant symplectic topology\, cohomological and homotopical inva
 riants\, the interplay between Hamiltonian actions and algebraic invariant
 s\, bridges between soft (equivariant) and hard (holomorphic) methods\, Li
 e theory\, representation theory\, and quantization.\n\nhttps://indico.glo
 bal/event/13801/
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LOCATION:SRS
URL:https://indico.global/event/13801/
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