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Upcoming Programmatic Workshops

  1. Connections for Women: Hamiltonian Systems, from topology to applications through analysis

    Organizers: Marie-Claude Arnaud (Université d'Avignon), LEAD Basak Gurel (University of Central Florida), Tere Seara (Universitat Politècnica de Catalunya)
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    Representing the orbits of the standard map for K = 1.2

    This workshop will feature lectures on a variety of topics in Hamiltonian dynamics given by leading researchers in the area. The talks will focus on recent developments in subjects closely related to the program such as Arnold diffusion, celestial mechanics, Hamilton-Jacobi equations, KAM methods, Aubry-Mather theory and symplectic topological techniques, and on applications. The workshop is open to all mathematicians in areas related to the program.

    Updated on Apr 24, 2018 11:01 AM PDT
  2. Introductory Workshop: Hamiltonian systems, from topology to applications through analysis

    Organizers: Marie-Claude Arnaud (Université d'Avignon), Wilfrid Gangbo (University of California, Los Angeles), LEAD Vadim Kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley)

    The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, Hamilton-Jacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics.

    The workshop will consist of approximately 18 lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.

    Updated on Sep 26, 2017 09:18 AM PDT
  3. Hamiltonian systems, from topology to applications through analysis I

    Organizers: Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego Del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas at Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
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    Depiction of the standard nontwist map (courtesy of G.Miloshevich).

    This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis” and is a companion to the workshop next month (November 26-30).  Both workshops will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

    Updated on Nov 02, 2017 09:56 AM PDT
  4. Hamiltonian systems, from topology to applications through analysis II

    Organizers: Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego Del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), Philip Morrison (University of Texas at Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
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    An invariant set inhibiting transport in a two degree-of-freedom Hamiltonian system (courtesy J. D. Szezech)

    This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis.”  It  will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

    Updated on Nov 02, 2017 09:58 AM PDT
  5. Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces

    Organizers: Julie Bergner (University of Virginia), LEAD Antonella Grassi (University of Pennsylvania), Bianca Viray (University of Washington), Kirsten Wickelgren (Georgia Institute of Technology)

    This workshop will be on different aspects of Algebraic Geometry relating Derived Algebraic Geometry and Birational Geometry. In particular the workshop will focus on connections to other branches of mathematics and open problems. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

    Updated on Jul 30, 2017 11:34 PM PDT
  6. Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces

    Organizers: Julie Bergner (University of Virginia), Bhargav Bhatt (University of Michigan), Christopher Hacon (University of Utah), LEAD Mircea Mustaţă (University of Michigan), Gabriele Vezzosi (Università di Firenze)

    The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of 7 expository mini-courses and 7 separate lectures, each given by top experts in the field. 

    The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.
     

    Updated on Mar 06, 2018 03:29 PM PST
  7. Derived algebraic geometry and its applications

    Organizers: Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago), Bertrand Toen (Centre National de la Recherche Scientifique (CNRS))

    This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.    

    Updated on Jul 30, 2017 11:34 PM PDT
  8. Recent Progress in Moduli Theory

    Organizers: Lucia Caporaso (University of Rome, Roma 3), LEAD Sándor Kovács (University of Washington), Martin Olsson (University of California, Berkeley)
    Moduli b

    This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines. 

    Updated on Nov 02, 2017 09:59 AM PDT
  9. Introductory Workshop: Holomorphic Differentials in Mathematics and Physics

    Organizers: LEAD Jayadev Athreya (University of Washington), Sergei Gukov (California Institute of Technology), Andrew Neitzke (University of Texas, Austin), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)
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    Some holomorphic differentials on a genus 2 surface, with close up views of singular points, image courtesy Jian Jiang.

    Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.

    Updated on Nov 21, 2017 04:24 PM PST
  10. Connections for Women: Microlocal Analysis

    Organizers: Tanya Christiansen (University of Missouri), LEAD Raluca Felea (Rochester Institute of Technology)
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    This workshop will provide a gentle introduction to a selection of applications of microlocal analysis.  These may be drawn from among geometric microlocal analysis, inverse problems, scattering theory, hyperbolic dynamical systems,  quantum chaos and relativity.  The workshop will also provide  a panel discussion, a poster session and an introduction/research session. 

    This workshop is open to all mathematicians.

    Updated on Jan 11, 2018 12:35 PM PST
  11. Introductory Workshop: Microlocal Analysis

    Organizers: Pierre Albin (University of Illinois at Urbana-Champaign), LEAD Raluca Felea (Rochester Institute of Technology), Andras Vasy (Stanford University)
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    Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory… This workshop will provide a comprehensive introduction to the field for postdocs and graduate students as well as specialists outside the field, building up from standard facts about the Fourier transform, distributions and basic functional analysis.

    Updated on Jan 11, 2018 01:28 PM PST
  12. Connections for Women: Quantum Symmetries

    Organizers: Emily Peters (Loyola University), LEAD Chelsea Walton (University of Illinois at Urbana-Champaign)
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    Photo by drmakete lab on Unsplash

    This workshop will feature several talks by experts, along with numerous 5-minute presentations by junior mathematicians, on topics related to Quantum Symmetry. Such topics will include tensor categories, subfactors, Hopf algebras, topological quantum field theory and more. There will also be a panel discussion on professional development. The majority of the speakers and panelists for this event will be women and gender minorities, and members of these groups and of other underrepresented groups are especially encouraged to attend. This workshop is open to all mathematicians.

    Updated on Mar 26, 2018 12:18 PM PDT
  13. Introductory Workshop: Quantum Symmetries

    Organizers: Vaughan Jones (Vanderbilt University), Victor Ostrik (University of Oregon), Emily Peters (Loyola University), LEAD Noah Snyder (Indiana University)
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    Jellyfish floating to the surface, as in the evaluation algorithm for certain planar algebras.

    This workshop will consist of introductory minicourses on key topics in Quantum Symmetry: fusion categories, modular tensor categories, Hopf algebras, subfactors and planar algebras, topological field theories, conformal nets, and topological phases of matter.  These minicourses will be introductory and are aimed at giving semester participants exposure to the main ideas of subfields other than their own.

    Updated on Apr 09, 2018 02:20 PM PDT