Past Seminars

Printer-friendly version
  • Logic Set Theory
    Combinatorial consequences of strongly compact and supercompact cardinals II
    Christoph Weiss
    Mon Feb 11, 2013
    4:00 pm
    We survey several well-known direct consequences of very large cardinal axioms.  In particular we intend to cover SCH (Solovay), the failure of the approachability property (Shelah), and the failure of Not So Very Weak Square (Foreman--Magidor).  If time permits, we will discuss a characterization of strong compactness due to Ketonen or...
  • Graduate Seminar
    How many values a polynomial map misses?
    Daqing Wan
    Fri Feb 8, 2013
    4:00 pm
    For a polynomial map f(x) from a field F to itself, we are interested in the size of the values that f misses, that is, the cardinality of F - f(F). For F = C (the complex numbers), if f misses one value, then f is a constant (this is the fundamental theorem of algebra). For F = C, if a holomorphic map f misses two values, then f is again a...
  • Distinguished Lectures
    Numerical Multiscale Modeling
    Björn Engquist
    Thu Feb 7, 2013
    4:00 pm
  • Algebra
    Representations of SL(2) and SL(3)
    Roger Dellaca
    Thu Feb 7, 2013
    2:00 pm
  • Mathematical Physics
    The Nevai Condition and a Local Law of Large Numbers for Orthogonal...
    Jonathan Breuer
    Thu Feb 7, 2013
    2:00 pm
    The notion of an orthogonal polynomial ensemble generalizes many important point processes arising in random matrix theory, probability and combinatorics. This talk describes recent joint work with Maurice Duits dealing with the fluctuations of the random empirical measure for general orthogonal polynomial ensembles, on all scales, for both...
  • Number Theory
    Isolated Curves for Hyperelliptic Curve Cryptography
    Wenhan Wang
    Tue Feb 5, 2013
    2:00 pm
    The endomorphism rings of ordinary jacobians of genus two curves defined over finite fields are orders in quartic CM fields. The conductor gap between two endomorphism rings is defined as the largest prime number that divides the conductor of one endomorphism ring but not the other. We call a genus two curve isolated, if its endomorphism ring has...
  • Cryptography
    Isolated Curves for Hyperelliptic Curve Cryptography
    Wenhan Wang
    Tue Feb 5, 2013
    2:00 pm
    The endomorphism rings of ordinary jacobians of genus two curves defined over finite fields are orders in quartic CM fields. The conductor gap between two endomorphism rings is defined as the largest prime number that divides the conductor of one endomorphism ring but not the other. We call a genus two curve isolated, if its endomorphism ring has...