Monday 3rd November 2014
This is a half-day event sponsored by the London Mathematical Society to celebrate the appointment of an Assistant Professor at University of Warwick (Weiyi Zhang). There will be three talks focused on Complex geometry and Symplectic Topology. The event will be followed by a reception and dinner. If you are interested in attending this event, please REGISTER. Funds are available to UK academics for housing and travel. For further information, please contact Weiyi Zhang (weiyi dot zhang at warwick dot ac dot uk).
Organiser: Weiyi Zhang
Speakers: Nigel Hitchin (Oxford), Ivan Smith (Cambridge), Weiyi Zhang (Warwick)
Roberta Albuqueque, Johar Ashfaque (Liverpool), Aurelio Carlucci, Georgios Dimitroglou Rizell (Cambridge), Karim El Haloui, Jacqui Espina (UCL), Enrico Fatighenti, Diane Maclagan, David Mond, Dmitri Panov (King's), John Rawnsley, Miles Reid, Dmitriy Rumynin, Raul Sanchez Galan (UCL), Oldrich Spacil (UCL), Damiano Testa, Dmitry Tonkonog (Cambridge), Ben Wormleighton
Room B3.02, Mathematics Institute
Monday 3rd November
14:00-15:00 Nigel Hitchin (Oxford) Folded hyperkähler manifolds
15:30-16:30 Ivan Smith (Cambridge) The symplectic arc algebra
17:00-18:00 Weiyi Zhang (Warwick) J-holomorphic curves in a nef class
18:15 Dinner with wine in Mathematics Institute Common Room
Nigel Hitchin: Folded hyperkähler manifolds
The lecture will introduce folding -- a type of degeneration of symplectic forms -- in the context of hyperkähler 4-manifolds. A number of examples, in particular one generated by a hyperbolic structure on a surface, motivate this study, together with a conjecture about an infinite-dimensional Teichmuller space parametrizing geodesic structures on surfaces. A natural local boundary value problem associated to this data will be given using twistor techniques.
Ivan Smith: The symplectic arc algebra
We will consider the symplectic topology of a certain higher-dimensional cousin Y of the Milnor fibre of a Kleinian surface singularity, which arises as a Springer fibre in Lie theory and in the construction of certain symplectic link invariants. The main result is a formality theorem for certain Floer cohomology algebras in Y. This describes joint work with Mohammed Abouzaid.
Weiyi Zhang: J-holomorphic curves in a nef class
After explaining complexity of arbitrary reducible subvariety when the ambient manifold is of dimension 4, we offer an upper bound of the total genus of a J-holomorphic subvariety when the class of the subvariety is J-nef. For a spherical class, it has particularly strong consequences. It is shown that, for any tamed J, each irreducible component is a smooth rational curve. We completely classify configurations of maximal dimension. Some recent applications will be discussed. Part of the work is done jointly with Tian-Jun Li.
Where possible, visitors should obtain an EDUROAM account from their own university to enable internet access whilst at Warwick.
You can register for any of the symposia or workshops online. To see which registrations are currently open and to submit a registration, please click here.
Mathematics Research Centre
University of Warwick
Coventry CV4 7AL - UK