Fields Institute Workshop

Workshop on Immersed Lagrangian Cobordisms
Friday, 6 April 2018 (All day) to Monday, 9 April 2018 (All day)
Location
Room number: 
137
Registration
Registration required: 
No
Cost to attend: 
Free of charge
Event organizer: 
Event language: 

 

  DATE: Friday, April 6, 2018 to Monday, April 9, 2018 ORGANIZERS: François Charette - University of Ottawa, Maia Fraser - University of Ottawa, Roman Golovko - Université Libre de Bruxelles, Egor Shelukhin - Université de Montréal WEBSITE:

http://www.fields.utoronto.ca/activities/17-18/lagrangian-cobordisms

 

Lagrangian Floer homology was introduced in the 80’s by Andreas Floer, in order to prove a conjecture of Arnol’d on periodic orbits. This theory was further developed in work of Fukaya-Oh-Ohta-Ono, Seidel, Kontsevich, and others, and is now well understood for embedded Lagrangian submanifolds. These studies also introduced the Fukaya category which plays a key role in the homological mirror symmetry conjecture of Kontsevich, of great interest to both Math and Physics communities. Cases where proofs of mirror symmetry now exist often require the use of immersed Lagrangian submanifolds. The theory in this context is less known, and technical issues arise due to points of self intersection. Biran and Cornea recently observed that a suitable notion of immersed Lagrangian cobordisms, following the work of Arnol’d and Chekanov, provides a geometric realization of the Fukaya category. This workshop aims primarily at spreading the use of Floer homology for immersed Lagrangians and further developing the approach of Biran-Cornea to understand the Fukaya category. An additional goal is to study potential analogs of this program related to symplectic field theory. Confirmed Speakers: Mohammed Abouzaid (Columbia U) Erkao Bao (Stony Brook U) Octav Cornea (U de Montréal) Georgios Dimitroglou Rizell (Uppsala U) Paolo Ghiggini (CNRS, Uni Nantes) Emmy Murphy (Northwestern U) Alexandre Perrier (U de Montréal) Lara Suarez (Ruhr U Bochum) Lisa Traynor (Bryn Mawr College) Dmitry Tonkonog (UC Berkeley) Weiwei Wu (U Georgia)