Georgios Dimitroglou Rizell (Uppsala) will talk in the geometry seminar on 28th February. His talk will be part of a double bill, with the other speaker being Dmitri Tonkonog (also Uppsala). Georgios’s talk will be at 13h30-14h30 in room O8.08. His title is “The wrapped Fukaya category of a Weinstein manifold is generated by the Lagrangian cocore discs” and his abstract is below.
In a joint work with B. Chantraine, P. Ghiggini, and R. Golovko we decompose any object in the wrapped Fukaya category as a twisted complex built from the cocores of the critical (i.e. half-dimensional) handles in a Weinstein handle decomposition. The main tools used are the Floer homology theories of exact Lagrangian immersions, of exact Lagrangian cobordisms in the SFT sense (i.e. between Legendrians), as well as relations between these theories. Note that exact Lagrangians admit Legendrian lifts, and that appropriate Lagrange surgeries can be seen to give rise to an exact Lagrangian cobordism of the aforementioned type.