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Dates: November 19-November 23, 2018
Venue: Lecture Hall, Kavli IPMU
The aim of the school/workshop is to promote the application of modern methods of derived deformation theory to problems concerning non-commutative deformations of categories of sheaves on algebraic varieties and of collections of objects in such categories. Derived algebraic geometry is a rapidly developing subject in which major theoretical progress has already been made. The time is now ripe for applications to non-commutative algebraic geometry.
In addition to talks on recent work, we plan two series of lectures explicating the precise relation between deformation problems and differential graded Lie algebras, shifted Poisson structures on moduli spaces arising in non-commutative geometry, etc.
The workshop will also address deformation quantization of shifted Poisson structures, including relations to perturbative quantum field theories.
Alexey Bondal (Kavli IPMU / Steklov Math. Inst./HSE)
Chris Brav (HSE)
Nick Rozenblyum (U of Chicago)
Kyoji Saito (RIMS / Kavli IPMU)
Grant-in-Aid for Scientific Research (S) JP16H06337 (PI: Atsushi Takahashi)
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Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), the University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa City, Chiba 277-8583, Japan