Summer School on Derived Algebraic Geometry
September 14-18, 2015
Collegio Cairoli, Pavia (Italy)
Courses
Michel Vaquié and Gabriele Vezzosi
Basics of derived algebraic geometry I & II
Abstract: Affine derived algebraic geometry. Cotangent complex and re-interpretation of classical deformation theory. The \infty (or model) category of derived stacks. Derived algebraic stacks. A few examples (MAP, RPerf).
Tony Pantev
Shifted deformation quantization
Abstract: I will introduce shifted symplectic and Poisson structures in derived geometry and will explain how these structures can be constructed on moduli stacks. I will discuss several explicit examples and will show how formal geometry helps in relating non-degenerate shifted Poisson structures and shifted symplectic structures. I will review the quantization problem in derived geometry and will explain how shifted symplectic structures with non-zero shifts can always be quantized.
Schedule
A provisional schedule for the week is now available.
Download if from here.
Sponsors
Dipartimento di Matematica "F. Casorati", Università degli Studi di Pavia
Dipartimento di Matematica "F. Enriques", Università degli Studi di Milano
FIRB 2012 "Moduli Spaces and Their Applications"
The national research project "Moduli, strutture geometriche e loro applicazioni" (PRIN 2012)
The national research project "Geometria delle Varietà Proiettive" (PRIN 2010-11)
The research network program GDRE-GRIFGA
Foundation Compositio Mathematica