Past Seminars- Algebra

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  • Vladimir Baranovsky
    Wed Apr 18, 2018
    2:00 pm
    We continue with Chapter 4 of Fulton-Harris
  • Jason Behrstock
    Mon Apr 2, 2018
    4:00 pm
    Hierarchically hyperbolic spaces provide a uniform framework for working with many important examples, including mapping class groups, right angled Artin groups, Teichmuller space, and others. In this talk I'll provide an introduction to studying groups and spaces from this point of view. This discussion will center around...
  • Nir Gadish
    Mon Mar 19, 2018
    4:00 pm
    Hyperplane arrangements are a classical meeting point of topology, combinatorics and representation theory. Generalizing to arrangements of linear subspaces of arbitrary codimension, the theory becomes much more complicated. However, a crucial observation is that many natural sequences of arrangements seem to be defined using a finite amount of...
  • Marc Hoyois
    Mon Mar 12, 2018
    4:00 pm
    The study of vector bundles on algebraic varieties is a classical topic at the intersection of geometry and commutative algebra. In its algebraic form it is the study of finitely generated projective modules over commutative rings. There are many long-standing conjectures and open questions about algebraic vector bundles, such as: is every...
  • Artan Sheshmani
    Wed Nov 8, 2017
    2:00 pm
    We report on the recent rigorous and general construction of the deformation-obstruction theories and virtual fundamental classes of nested (flag) Hilbert scheme of one dimensional subschemes of a smooth projective algebraic surface. The nested Hilbert scheme is a moduli space, which parametrizes a nested chain of configurations of curves and...
  • Steven Sam
    Wed Oct 11, 2017
    2:00 pm
    Given a projective variety X over a field of characteristic 0, and a positive integer r, we study the rth secant variety of Veronese re-embeddings of X. In particular, I'll explain recent work which shows that the degrees of the minimal equations (and more generally, syzygies) defining these secant varieties can be bounded in terms of X and r...
  • Michael O'Sullivan
    Mon Apr 24, 2017
    3:00 pm
    For each  random n-vector there is an entropy vector of length 2^n-1.  A fundamental question in information theory is to characterize the region formed by these  entropic vectors. The region is bounded by Shannon's inequalities, but not tightly bounded for n>3. Chan and Yeung discovered that random vectors constructed from...