Fall 2007
DateSpeakerTitle
September 1 Note special day, time 1:00pm and room
September 7 No talk scheduled
September 14
Eyal Markman
University of Massachusetts, Amherst
 Flops and derived categories, after Tom Bridgeland
September 21 Sukhendu Mehrotra Bridgeland Stability Conditions
September 28
Sukhendu Mehrotra
University of Massachusetts
 Bridgeland Stability Conditions II
October 5
Sukhendu Mehrotra
University of Massachusetts
 Bridgeland Stability Conditions III
October 12
Eyal Markman
University of Massachusetts
 Flops and derived categories, after Tom Bridgeland II
October 19
Ana-Maria Castravet
University of Massachusetts
 Introduction to algebraic stacks
October 26
Ana-Maria Castravet
University of Massachusetts
 Introduction to algebraic stacks II
November 2 No talk scheduled
November 9
Ana-Maria Castravet
University of Massachusetts
 Introduction to algebraic stacks III
November 16 No talk scheduled
November 23 Thanksgiving
November 30
Jenia Tevelev
University of Massachusetts
 The stack of stacks: Max Lieblich's mother of all moduli spaces
December 7
Jenia Tevelev
University of Massachusetts
 The stack of stacks: Max Lieblich's mother of all moduli spaces II
December 14
Evgeny Materov
University of Massachusetts
 Toric stacks


References and links:
  • Stability conditions on derived categories: The main reference is Bridgeland's paper's math.AG/0212237 where this theory
    was first developed. The beautiful paper math.AG/0307164 constructs the stability manifold of algebraic K3 surfaces. Also
    see math.AG/0611510 for an expository account by Bridgeland.
  • Stacks: The basic reference is the book Champs algebriques by Laumon and Moret-Bailley. Regrettably, it's in French. Other
    useful sources to look at for an introduction are the Deligne-Mumford classic The irreducibility of the space of curves of given genus ,
    Intersection theory on algebraic stacks and on their moduli spaces by Vistoli, and the article math.AG/9911199 by Gomez.
  • Moduli of objects in derived categories: The first work dealing with the moduli of complexes is Inaba's Toward a definition of
    moduli of complexes of coherent sheaves on a projective scheme    . A more complete and rather more technical treatment is Lieblich's
    (''Mother of Moduli Spaces'') paper math.AG/0502198.For treatments of moduli spaces of stable complexes see math/0703590 by
    Toda, arXiv:0708.2247 by Arcara, Bertram and Lieblich, and math.AG/0612078 by Inaba (which uses a diffrent notion of stability
    from Bridgeland's).


    • Below are links to the seminar from previous years.

    Minimal Model Program Seminar, Spring 2007

    Commutative Algebra and Polyhedra Seminar, Spring 2006

    Geometry and Algebra of Polyhedra Seminar, Fall 2005

    Commutative Algebra Seminar, 2004-2005

    The webpage is maintained by Sukhendu Mehrotra (email: mehrotra at math dot umass dot edu).