Reading seminar in algebraic geometry.
Fall 2019. K3 surfaces.

This semester the reading seminar will study K3 surfaces.

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

9/6 Organizational meeting.

9/13 No seminar.

9/20 No seminar due to AGNES.

9/27 Paul Hacking. What is a K3 surface?.

10/4 Luca Schaffler. Lattice theory, K3 surfaces, and the Torelli theorem. Abstract.

10/11 No seminar due to Ballieul lectures.

10/18 Kuan-Wen Lai. Period domains and moduli spaces of K3 surfaces.

10/25 Angelica Simonetti. Enriques surfaces.

11/1 Alexei Oblomkov. Symplectic automorphisms of K3 surfaces.

11/8 Jennifer Li. Elliptic fibrations of K3 surfaces. Abstract.

11/15 Patrick Lei. K3 surfaces of high Picard rank.

11/22 Joe Foster. Symplectic involutions of K3 surfaces and rational curves.

11/29 No seminar due to Thanksgiving.

12/6 Cristian Rodriguez. K3 hypersurfaces in weighted projective space.

12/13 Arthur Wang. Vector bundles on K3 surfaces.




References

D. Huybrechts, Lectures on K3 surfaces. pdf.

M. Reid, Chapters on algebraic surfaces, Chapter 3. arXiv.




Links to the seminar from previous semesters.

The minimal model program, Spring 2019
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