Aspects of Homological Mirror Symmetry, Oct 1317 2014
What 


When 
Oct 13, 2014 09:00 AM
to Oct 17, 2014 05:00 PM 
Contact Name  Katrin Wendland, Emanuel Scheidegger 
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Date:
October 13  17, 2014
Organization
Speakers:
 Paul S. Aspinwall (Duke)
 Hubert Flenner (Bochum)
 SiuCheong Lau (Harvard)
Topic
Homological mirror symmetry is an equivalence between the derived category of coherent sheaves on a CalabiYau threefold and the Fukaya category of the mirror CalabiYau threefold. This conjecture was put forward by Kontsevich in 1994 and has been proven for a large class of CalabiYau threefolds by Sheridan in 2012. Nevertheless there are many interesting open questions such an as explicit construction of the equivalence functors as well as a description of further structures of the categories. The focus of the school will lie on the A_\infty structures on both sides of the equivalence. On the side of the derived category this is related to deformation theory of coherent sheaves. On the side of the Fukaya category this is related to Lagrangian intersection theory. In physics, the structure is encoded in the spacetime effective superpotential. The goal of the school is give an introduction to these two aspects and the mirror relation between them.
Prerequisites
The school is intended for both mathematicians and string theorists with interest in mirror symmetry. Background knowledge about CalabiYau threefolds is required. Furthermore, some familiarity with coherent sheaves and with Floer theory is desired.
Organizers:
 Katrin Wendland
 Emanuel Scheidegger