Symplectic Geometry and Special Metrics

Scope of the special session

This special session will be devoted to research topics in symplectic geometry and special holonomy; in particular, metrics with exceptional holonomy G2 or Spin(7), and quaternionic Kähler metrics. The participants will be given the opportunity to exchange ideas and knowledge, identify open problems and start new collaborations, setting the foundations to explore new lines of research.

Organisers

  • Diego Conti (University of Milan-Bicocca, Italy)
  • Marisa Fernández (University of the Basque Country, Spain) - marisa.fernandez@ehu.es
  • Anna Maria Fino (University of Turin, Italy)
  • Luis Ugarte (University of Zaragoza, Spain)

Abstracts and schedule

Below you can download the schedule and the abstracts of all talks of this special session.

Speakers

50 minute lectures

  • Stefan Ivanov  (University of Sofia "St. Kliment Ohridski", Bulgaria)

           The Lichnerowicz-Obata sphere theorems on a quaternionic contact manifold

  • Spiro Kariagiannis  (University of Waterloo, Canada)

          Centro-affine geometry and curvature of the moduli space of G2 metrics

  • Vicente Muñoz  (Complutense University of Madrid, Spain)

           Formality of Kähler orbifolds and Sasakian manifolds

  • Álvaro Pelayo  (Washington University in St. Louis, USA)

          Classical and Quantum Integrable Systems

  • Andrew Swann (Aarhus University, Denmark)

           Twists and special holonomy

30 minute lectures

  • Daniele Angella (Istituto Nazionale di Alta Matematica, University of Parma, Italy)

          Cohomological properties of symplectic manifolds

  • Sergey Grigorian (University of Texas-Pan American, Edinburg, USA)

           Flows of G2-structures

  • Victor Manero (University of the Basque Country, Spain)

           Ricci soliton metrics induced by closed G2 forms and the Laplacian flow

  • Johannes Nordström (University of Bath, United Kingdom)

           Disconnecting the G2 moduli space

  • Luigi Vezzoni (University of Turin, Italy)

           The Calabi-Yau equation on almost-Kähler torus fibrations

  • Raquel Villacampa (Centro Universitario de la Defensa, Zaragoza, Spain)

          Symplectic harmonicity and primitive cohomologies