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### Saturday, January 28, 2017

 All day

 Before 01 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Conference - CAST - Contact and Symplectic Topology Jan 26, 2017 to Jan 28, 2017 Download the poster in pdf Nantes, from January 26th to January 28th Organization board: Baptiste Chantraine, Vincent Colin, Paolo Ghiggini Scientific board: Jean-François Barraud, Baptiste Chantraine, Kai Cieliebak, Tobias Ekholm                                     Cazassus Jan 28, 2017 Manolescu and Woodward defined homology groups associated to a closed connected oriented 3-manifold, called symplectic instanton homology, using Lagrangian Floer homology inside a moduli space of flat SU(2)-connexions associated to a punctured Heegaard surface. Using Wehrheim and Woodward's "Floer field theory" and pseudo-holomorphic quilts, I will show that these groups only depend on the choice of a basepoint, and will define maps associated to a smooth 4-dimensional cobordism equipped with a path.     Sivek Jan 28, 2017 In recent work, Baldwin and I defined invariants of contact 3-manifolds with boundary in sutured instanton Floer homology. I will sketch the proof of a theorem about these invariants which is analogous to a result of Plamenevskaya in Heegaard Floer homology: if a 4-manifold admits several Stein structures with distinct Chern classes, then the invariants of the induced contact structures on its boundary are linearly independent. As a corollary, we conclude that if a homology sphere Y admits a Stein filling which is not a homology ball, then its fundamental group admits a nontrivial representation to SU(2). This is joint work with John Baldwin.     Tonkonog Jan 28, 2017 Given a Lagrangian two-torus with an attached Lagrangian disk, one can construct a different Lagrangian torus by a procedure called mutation. I will talk about the wall-crossing formula which describes how the enumerative geometry of holomorphic Maslov index 2 disks changes under mutation. I will also mention higher-dimensional mutations, and the wall-crossing formula for them. This is joint work with James Pascaleff.