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Center & Programs Conferences Workshop on Flag Domains and Cycle Spaces
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Three Constructions Associated to a Nilpotent Orbit
SPEAKER  |  Mark Green
INSTITUTE  |  
DATE  |  May 26(Fri), 2017
TIME  |  11:20
PLACE  |  1503
Keyword  |  
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ABSTRACT  |  This talk, a follow-up to the one by Phillip Griffiths, will survey some recent joint work with P. Griffiths, R. Laza and C. Robles. One of the overall themes of our work has been multi-parameter families of varieties and how the variation of their Hodge structures reflects their geometry, in particular, the relationship between the singularities the varieties acquire and the degeneration of their Hodge structures. Associated to such a multiparameter family is a nilpotent orbit over a product of punctured discs. Some interesting algebraic invariants of such nilpotent orbits we have been studying are a semisimple Lie algebra, a monomial map that fills in across the punctures, and a metric on the determinants of the Hodge filtration bundles det(F^p).
  • Three Constructions ...
    Mark Green
    May 26(Fri), 2017
  • Hodge Theory and Mod...
    Phillip Griffiths
    May 26(Fri), 2017
  • Non-degeneracy in CR...
    Curtis Porter
    May 25(Thu), 2017
  • Differential geometr...
    Gregory Pearlstein
    May 25(Thu), 2017
  • Admissible nilpotent...
    Matt Kerr
    May 25(Thu), 2017
  • Bi-algebraic geometr...
    Bruno Klingler
    May 25(Thu), 2017
  • Bi-algebraic geometr...
    Bruno Klingler
    May 24(Wed), 2017
  • Infinite Dimensional...
    Joseph A. Wolf
    May 24(Wed), 2017
  • On the intersection ...
    Ana-Maria Brecan
    May 24(Wed), 2017
  • Admissible nilpotent...
    Matt Kerr
    May 24(Wed), 2017
  • Quantum K-theory of ...
    Nicolas Perrin
    May 23(Tue), 2017
  • The Riemann-Hilbert ...
    Bong H. Lian
    May 23(Tue), 2017
  • The Riemann-Hilbert ...
    Bong H. Lian
    May 23(Tue), 2017
  • Recognizing symplect...
    Jun-Muk Hwang
    May 23(Tue), 2017
  • Sub-VMRT structures ...
    Ngaiming Mok
    May 22(Mon), 2017
  • On cycle spaces of f...
    Sui-Chung Ng
    May 22(Mon), 2017
  • Sub-VMRT structures ...
    Ngaiming Mok
    May 22(Mon), 2017