Reading seminar in algebraic geometry
Fall 2012. Deformation theory.
This semester the reading seminar will study deformation theory via key examples.
The seminar will consist of introductory talks by faculty followed by
talks by graduate students.
We will attempt to make the seminar
accessible to everyone.
The seminar will meet on Fridays at 2:40PM-3:45PM in LGRT 1634.
Schedule
Sep 7. Organizational meeting, 4PM, LGRT 1634.
Sep 14. Jenia Tevelev, UMass. Deformation theory I. 2:40PM, LGRT 1634.
Sep 21. Paul Hacking, UMass. Deformation theory II. 2:40PM, LGRT 1634.
Sep 28. Eduardo Cattani, UMass. Deformations of complex structures. 2:40PM, LGRT 1634.
Oct 5. David Cox, Amherst College. Groebner Bases, Deformations, and Some Computations. 2:40PM, LGRT 1634. Lecture notes pdf.
Oct 12. Stephen Coughlan, UMass. Obstructed deformations of surfaces (according to Burns and Wahl) 2:40PM, LGRT 1634.
Oct 19. Tom Weston, UMass. Deformations of Galois representations. 2:40PM, LGRT 1634.
Oct 26. No seminar due to AGNES.
Nov 2. Tom Shelly, UMass. Hilbert schemes. 2:40PM, LGRT 1634.
Nov 9. Julie Rana, UMass. Deformations of maps with fixed target. 2:40PM, LGRT 1634.
Nov 16. Anna Kazanova, UMass. Constructing surfaces of general type via deformation theory (following Y. Lee and J. Park) 2:40PM, LGRT 1634.
Nov 23. No seminar due to Thanksgiving.
Nov 30. Bradley Willocks, UMass. Schlessinger's conditions. 2:40PM, LGRT 1634.
Dec 7. Nikolay Buskin, UMass. Deformations of Hirzebruch surfaces 2:40PM, LGRT 1634.
References
M. Artin, Lectures on deformations of singularities, Tata Institute, 1976. pdf. djvu.
(WARNING: pdf was tex'd subsequently and has a lot of typos.)
D. Burns and J. Wahl, Local contributions to global deformations of surfaces,
Invent. Math. 26 (1974), 67-88. SpringerLink. (freely available via UMass).
R. Hartshorne, Deformation theory, Grad. Texts in Math, 257, Springer, 2010. SpringerLink. (freely available via UMass).
J. Stevens, Deformations of singularities, Lecture Notes in Math. 1811, Springer, 2003. SpringerLink. (freely available via UMass).
J. Kollár, Rational curves on algebraic varieties, Ergeb. Math. Grenzgeb. (3) 32, Springer, 1996. googlebooks.
M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968), 208-222. pdf.
MSRI deformation theory workshop, 2007. lecture notes. videos.
Links to the seminar from previous years.
Curves, K3 surfaces, and Fano 3-folds, Spring 2012
Topics in algebraic geometry, Fall 2011
Surfaces of general type, Spring 2011
Algebraic surfaces, Fall 2010
Stability conditions on derived categories and wall crossing, Spring 2010
Mirror symmetry and tropical geometry, Fall 2009
Deformation theory,
Fall 2008
Green's Conjectures,
Spring 2008
Bridgeland Stability,
Fall 2007
Minimal Model Program,
Spring 2007
Commutative
Algebra and Polyhedra Seminar, Spring 2006
Geometry and
Algebra of Polyhedra Seminar, Fall 2005
Commutative Algebra
Seminar, 2004-2005
The page is maintained by Paul Hacking