Deformation Theory


University of Colorado at Boulder

Seminar on 

Deformation Theory

   Spring 2012

Tuesdays 3 - 4 PM in MATH 350

This is a working seminar meant to introduce deformation theory.  The seminar will be held in MATH 350.  The mathematics department is at the corner of Colorado Ave and Folsom St.  For a map of the campus, click here.  This is a continuation of last semester's Seminar on Deformation Theory (although prerequisite material from that semester will be reviewed as needed).

Schedule of upcoming talks:

January 31
Markus Pflaum
Introduction to deformation quantization
February 7
David Wayne
How to generalize the notion of a sheaf
February 14
David Wayne
Examples and applications of Grothendieck sites
February 21 FRAGMENT seminar
FRAGMENT seminar
February 28 Markus Pflaum
Fedosov's construction of a deformation quantization
March 20 RV Virk
Review of DGLAs
May 1 Hans-Christian Herbig (IMF)
On the (non)-commutative geometry of singular symplectic quotients

  • M.J. Pflaum, Deformation Theory, in "Encyclopedia in Mathematical Physics" (J.-P. Francoise, G.L. Naber, T.S. Tsun, Eds.), Elsevier (2006) (pdf).
  • Kodaira, Complex manifolds and deformation of complex structures.
  • Sernesi, Deformations of algebraic schemes.
  • Fundamental Algebraic Geometry, Grothendiek's FGA explained, Fantechi et al.
  • There are some nice lecture notes on the website
  • Complexe Cotangent et Déformations I, II Lecture Notes in Mathematics, Illusie. (pdf from springer, free on campus)
  • For a little background on the physics related to deformation quantization: Mathematical methods in quantum physics, Teschl (pdf)
  • Vistoli, Deformation theory from the point of view of fibered categories (pdf)
  • Kontsevich, some notes on deformation theory (ps)
  • Manetti, Lectures on deformations of a complex manifold (pdf) and Deformation theory via differential graded Lie algebras (pdf)

This seminar is being organized by Sebastian Casalaina-Martin and Markus Pflaum.  The web page is maintained by Sebastian Caslaina-Martin; it is yet another example of a shameless (indirect) copying of a webpage of Pasha Belorousski's at the University of Michigan.