Reading seminar in algebraic geometry.
Spring 2018. Topics in algebraic geometry

This semester the reading seminar will study various topics in algebraic geometry. Each speaker will present a paper they are reading for their own research projects which is of general interest to algebraic geometers.

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, 2:30--3:30PM in LGRT 1234.



Tentative Schedule

1/26. Organizational meeting, 3:30PM, LGRT 1530.

2/9. Paul Hacking. The versal deformation of an isolated toric Gorenstein singularity, by K. Altmann. pdf.

2/16. Luca Schaffler. The moduli space of 8 points on P^1 and automorphic forms, by S. Kondo. arXiv.

2/23. Jenia Tevelev. Rationality specializes in families. Abstract. References:

J. Nicaise and E. Shinder, The motivic nearby fiber and degeneration of stable rationality, arXiv.

M. Kontsevich and Y. Tschinkel, Specialization of birational types, arXiv.

3/2. Arie Stern Gonzalez. Flipping and antiflipping surfaces, following Hacking-Tevelev-Urzua, arXiv.

3/9. Jennifer Li. Toric surface singularities and their resolutions. Abstract. References: W. Fulton, Introduction to toric varieties, P.U.P., 1993; D. Cox, J. Little, and H. Schenck, Toric varieties, A.M.S., 2011.

3/16. No seminar (Spring break).

3/23. Sebastian Torres. The bounded derived category of coherent sheaves in the Gorenstein case (following D. Orlov). Abstract. arXiv.

3/30. Angelica Simonetti. Equations for cusp singularities, following J. Stevens, arXiv.

4/6. No seminar.

4/13. No seminar due to AGNES.

4/20. Shelby Cox and Gregory McGrath. Hyperplane arrangements / Seshadri constants.



Links to the seminar from previous semesters.

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