Spring 2012. Curves, K3 surfaces, and Fano 3-folds.

This semester the reading seminar will study the description of Fano 3-folds as linear sections of homogeneous spaces obtained by Mukai. This is related to Mukai's work on vector bundles over K3 surfaces and explicit models for curves of low genus. More recently Kuznetsov has used Mukai's results to study the derived category of Fano 3-folds.

The seminar will consist of introductory talks by faculty followed by talks by graduate students. Applications to the derived category will be discussed towards the end after some of the necessary tools have been developed in Jenia Tevelev's class (course webpage). We will attempt to make the seminar accessible to everyone.

The seminar will meet on Fridays at 2:45PM-3:45PM in LGRT 1634. We will also have a few meetings on Thursdays to accommodate speakers with teaching commitments on Fridays.

Jan 27. Organizational meeting, 3:15PM, LGRT 1634.

Feb 3. Paul Hacking, UMass.

Feb 10. Eyal Markman, UMass.

Feb 16. Jeremy Pecharich, Mt Holyoke.

Feb 17. Stephen Coughlan, UMass.

Feb 24. Alexei Oblomkov, UMass.

Mar 2. Alexei Oblomkov, UMass.

Mar 9. Jenia Tevelev, UMass.

Mar 16. Jenia Tevelev, UMass.

Mar 23. Spring Break.

Mar 30. No meeting due to AGNES.

Apr 6. Bradley Willocks, UMass.

Apr 13. Anna Kazanova, UMass.

Apr 26. Rina Anno, UMass.

Apr 27. Julie Rana, UMass.

S. Mukai,

S. Mukai,

A. Kuznetsov,

V. Iskovskih,

Links to the seminar from previous years.

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

The page is maintained by Paul Hacking