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Upcoming Summer Graduate Schools

  1. The ∂-Problem in the Twenty-First Century

    Organizers: Debraj Chakrabarti (Central Michigan University), Jeffery McNeal (Ohio State University)

    This Summer Graduate School will introduce students to the modern theory of the  inhomogeneous Cauchy-Riemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be self-contained and the prerequisites will be kept at a minimum

    Updated on Jul 20, 2017 11:48 AM PDT
  2. Derived Categories

    Organizers: Nicolas Addington (University of Oregon), LEAD Alexander Polishchuk (University of Oregon)

    The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov’s equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.

    Updated on Jul 20, 2017 12:29 PM PDT
  3. Representations of High Dimensional Data

    Organizers: Blake Hunter (Claremont McKenna College), Deanna Needell (University of California, Los Angeles)

    In today's world, data is exploding at a faster rate than computer architectures can handle. This summer school will introduce students to modern and innovative mathematical techniques that address this phenomenon. Hands-on topics will include data mining, compression, classification, topic modeling, large-scale stochastic optimization, and more.

    Updated on Jul 20, 2017 01:46 PM PDT
  4. From Symplectic Geometry to Chaos

    Organizers: Marcel Guardia (Universitat Politecnica de Catalunya), Vadim Kaloshin (University of Maryland), Leonid Polterovich (Tel Aviv University)

    The purpose of the summer school is to introduce graduate students to state-of-the-art methods and results in Hamiltonian systems and symplectic geometry. We focus on recent developments on the study of chaotic motion in Hamiltonian systems and its applications to models in Celestial Mechanics.

    Updated on Jul 20, 2017 01:01 PM PDT