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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. Séminaire de Mathématiques Supérieures 2018: Derived Geometry and Higher Categorical Structures in Geometry and Physics

    Organizers: Anton Alekseev (Université de Genève), Ruxandra Moraru (University of Waterloo), Chenchang Zhu (Universität Göttingen)

    Higher categorical structures and homotopy methods have made significant influence on geometry in recent years. This summer school is aimed at transferring these ideas and fundamental technical tools to the next generation of mathematicians.

    The summer school will focus on the following four topics:  higher categorical structures in geometry, derived geometry, factorization algebras, and their application in physics.  There will be eight to ten mini courses on these topics, including mini courses led by Chirs Brav, Kevin Costello, Jacob Lurie, and Ezra Getzler. The prerequisites will be kept at a minimum, however, a introductory courses in differential geometry, algebraic topology and abstract algebra are recommended.

    Updated on Oct 11, 2017 10:49 AM PDT
  3. Mathematical Analysis of Behavior

    Organizers: Ann Hermundstad (Janelia Research Campus, HHMI), Vivek Jayaraman (Janelia Research Campus, HHMI), Eva Kanso (University of Southern California), L. Mahadevan (Harvard University)

    Explore Outstanding Phenomena in Animal Behavior

    Jointly hosted by Janelia and the Mathematical Sciences Research Institute (MSRI), this program will bring together 15-20 advanced PhD students with complementary expertise who are interested in working at the interface of mathematics and biology. Emphasis will be placed on linking behavior to neural dynamics and exploring the coupling between these processes and the natural sensory environment of the organism. The aim is to educate a new type of global scientist that will work collaboratively in tackling complex problems in cellular, circuit and behavioral biology by combining experimental and computational techniques with rigorous mathematics and physics.

    Updated on Sep 29, 2017 09:49 AM PDT
  4. 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
  5. H-principle

    Organizers: Emmy Murphy (Northwestern University), Takashi Tsuboi (University of Tokyo)
    072_04-small
    The image of a large sphere isometrically embedded into a small space through a C^1 embedding. (Attributions: E. Bartzos, V. Borrelli, R. Denis, F. Lazarus, D. Rohmer, B. Thibert)

    This two week summer school will introduce graduate students to the theory of h-principles.  After building up the theory from basic smooth topology, we will focus on more recent developments of the theory, particularly applications to symplectic and contact geometry, and foliation theory.

    Updated on Nov 02, 2017 10:19 AM PDT
  6. IAS/PCMI 2018: Harmonic Analysis

    Organizers: Carlos Kenig (University of Chicago), Fanghua Lin (New York University, Courant Institute), Svitlana Mayboroda (University of Minnesota, Twin Cities), Tatiana Toro (University of Washington)

    Harmonic analysis is a central field of mathematics with a number of applications to geometry, partial differential equations, probability, and number theory, as well as physics, biology, and engineering. The Graduate Summer School will feature mini-courses in geometric measure theory, homogenization, localization, free boundary problems, and partial differential equations as they apply to questions in or draw techniques from harmonic analysis. The goal of the program is to bring together students and researchers at all levels interested in these areas to share exciting recent developments in these subjects, stimulate further interactions, and inspire the new generation to pursue research in harmonic analysis and its applications.

    Updated on Nov 08, 2017 11:32 AM PST
  7. Representations of High Dimensional Data

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

    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 Nov 02, 2017 10:02 AM PDT
  8. 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 Oct 03, 2017 01:40 PM PDT