Reading seminar in algebraic geometry.
Spring 2019. The minimal model program.

This semester the reading seminar will study the minimal model program

The seminar will consist of talks by faculty followed by talks by graduate students. We will attempt to make the seminar accessible to everyone.

The seminar will meet on Friday afternoons, 2:30PM--3:30PM, in LGRT 1334.



Tentative Schedule

1/25 Organizational meeting.

2/1 No meeting

2/8. Jenia Tevelev. Introduction to MMP. Abstract. Lecture notes.

2/15. Paul Hacking. Introduction to MMP. II.

2/22. Luca Schaffler. Introduction to toric varieties.

3/1. David Cox. The minimal model program for toric varieties.

3/8. Kuan-Wen Lai. The Sarkisov program.

3/15. No meeting (Spring Break)

3/22. No meeting (AGNES)

3/29. Sebastian Torres. Mori dream spaces. Abstract.

4/5. Arie Stern. Singularities of the minimal model program.

4/12. No meeting (Ellis memorial conference)

4/19. Jennifer Li. The cone theorem for smooth projective varieties. Abstract.

4/26. Angelica Simonetti. The minimal model program for surfaces with Du Val singularities of type A.



References

J. Kollár, The structure of algebraic threefolds: an introduction to Mori's program. journal.

J. Kollár and S. Mori, Birational geometry of algebraic varieties. googlebooks.

J. Kollár, Exercises in the birational geometry of algebraic varieties. arXiv.

S. Mori, Threefolds whose canonical bundles are not numerically effective. JSTOR.

M. Reid, Chapters on algebraic surfaces, Chapter D. arXiv.

D. Cox, J. Little, and H. Schenck, Toric varieties. googlebooks.

M. Reid, Decomposition of toric morphisms, in Arithmetic and Geometry, papers dedicated to I.R. Shafarevich, Birkhäuser 1983, Vol II, 395--418.



Links to the seminar from previous semesters.

Non-commutative K3 surfaces, Fall 2018
Topics in algebraic geometry, Spring 2018
Surface singularities, Fall 2017
Birational geometry, Spring 2017.
Algebraic surfaces, Fall 2016.
Fano varieties, Fall 2015
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