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.

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.

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