Past Seminars- Algebra

Printer-friendly version
  • Mark Gross
    Tue May 3, 2005
    2:00 pm
    I will discuss a proposed method for answering a basic question of mirror symmetry. As currently understood, affine manifolds underly mirror symmetry between Calabi-Yau manifolds. From an affine manifold with certain properties, one should be able to construct a complex manifold and a symplectic manifold which are mirror to each other. Geometric...
  • Vladimir Baranovsky
    Tue Apr 26, 2005
    2:00 pm
    Let G be a finite subgroup of SL(2, C) and let X be a "nice" resolution of singularities of the singular space C^2/G. The classical McKay correspondence gives a bijection between the irreducible representations of G and the components of exceptional divisor in X (which give a basis of its second homology). We explain how this correspondence...
  • Tihomir Petrov
    Tue Nov 23, 2004
    2:00 pm
    Some questions related to the stable rationality of quotient varieties V/G where G is an algebraic group and V is a faithful complex linear representation of G will be discussed.
  • Kristina Crona
    Tue Nov 2, 2004
    2:00 pm
  • Kristina Crona
    Tue Oct 26, 2004
    2:00 pm
    Macaulay's Theorem and theorems by Gotzmann will be discussed in this introduction to standard graded Hilbert functions. My presentation will rely on Gr\"obner bases theory, in particular generic initial ideals and lexsegment ideals. The talk requires no special background, and may be useful for my next talk about multigraded Hilbert functions.
  • Vladimir Baranovsky
    Tue Oct 19, 2004
    2:00 pm
    Abstract: I intend to give an overview of various cyclic homology theories which allow one to recover the topological (or crystalline) cohomology of a variety from the ring of functions on it (or the category of vector bundles). The talk should be accessible to graduate students with basic background in topology.
  • Prof. E. Gasparim
    Fri Dec 12, 2003
    2:00 pm
    I will explain the statement of the Atiyah--Jones conjecture and show that if the conjecture holds for a surface X, then it also holds for the blow-up of X at a point. As a corollary, I will show that the conjecture holds true for all rational surfaces.