Reading seminar in algebraic geometry
Fall 2015. Fano varieties.
The seminar will meet on Monday afternoons, 4:00--5:00PM in LGRT 1322.
Schedule
9/11. Organizational meeting, 4:30PM, LGRT 1634.
9/21. Paul Hacking. What is a Fano variety?
9/28. Jenia Tevelev. Fano varieties of Mori dreams.
10/5. Jenia Tevelev. Fano varieties of Mori dreams, II.
10/12. No seminar (Columbus day).
10/19. Feifei Xie. Blowups and birational geometry of surfaces.
10/26. Tassos Vogiannou. Spherical tropicalization.
11/2. Sebastian Torres. The 27 lines on a cubic surface.
11/9. Arie Stern-Gonzalez. Del Pezzo surfaces.
11/16. No seminar.
11/23. David Cox (Amherst College). Toric Fano varieties.
11/30. No seminar.
12/7. Huy Le. Special cubic 4-folds.
References
P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley 2010. googlebooks.
M. Reid, Undergraduate algebraic geometry, C.U.P. 1988. googlebooks.
I. Dolgachev, Classical algebraic geometry. Lecture notes.
J. Kollár and S. Mori, Birational geometry of algebraic varieties, C.U.P 1998. googlebooks.
S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. (2) 110 (1979), no. 3, 593--606. JSTOR.
D. Cox, What is a toric variety?, in Topics in algebraic geometry and geometric modeling,
Contemp. Math. 334, A.M.S., 2003, 203--223. pdf.
D. Cox, Mirror symmetry and polar duality of polytopes, Symmetry 7 (2015), 1633--1645. pdf.
H. Clemens and P. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2) 95 (1972), 281--356. JSTOR.
B. Hassett, Special cubic 4-folds, Harvard PhD thesis, 1996. pdf.
Links to the seminar from previous semesters.
The Hitchin system, character varieties, and related topics, Spring 2015
Holomorphic symplectic varieties and Hyperkahler manifolds, Fall 2014
Syzygies, Spring 2014
Toric varieties, Fall 2013
Derived categories in algebraic geometry, Spring 2013
Deformation theory, Fall 2012
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
This page is maintained by Paul Hacking hacking@math.umass.edu