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Upcoming Programmatic Workshops

  1. Connections for Women: Higher Categories and Categorification

    Organizers: Emily Riehl (Johns Hopkins University), LEAD Marcy Robertson (University of Melbourne)
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    Picture of a Feynman graph.

    This two-day workshop will survey notable developments in the foundations and applications of higher category theory. It will consist of two mini-courses given by emerging female leaders in the subject: Claudia Scheimbauer and Nathalie Wahl.  This will be paired with a problem sessions lead by selected "TA's", themselves experts in higher structures.  Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological algebra.  

    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 Aug 01, 2019 04:20 PM PDT
  2. Introductory Workshop: Higher Categories and Categorification

    Organizers: LEAD David Ayala (Montana State University), Emily Riehl (Johns Hopkins University), Christopher Schommer-Pries (University of Notre Dame), Peter Teichner (Max-Planck-Institut für Mathematik)
    relations among 2-morphisms in the 2-dimensional unoriented bordism bicategory

    This workshop will survey notable developments and applications of higher category theory; it will be a venue for end-users to share their vision of how to apply the theory, as well as developers to share technical advancements.  It will consist of 6 series of 3 lectures, each given by instrumental end-users & developers of higher category theory, together with a few question-answer sessions.  Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological also algebra.  The content of these lecture series will concern the following topics.

    • K-theory: categorification, non-commutative motives, trace methods; 
    • TQFT: functorial field theories, factorization homology.
    • Parametrized higher category theory: stratifications, equivariant homotopy theory, operads, deformation theory and Koszul duality. 
    • Synthetic higher category theory: model-independent characterizations, cosmoi.  

    Updated on Sep 14, 2018 02:08 PM PDT
  3. Tensor categories and topological quantum field theories

    Organizers: Scott Morrison (Australian National University), Eric Rowell (Texas A & M University), LEAD Claudia Scheimbauer (TU München), Christopher Schommer-Pries (University of Notre Dame)
    Topological field theory studies the interplay of algebraic and topological structure (image credit Kevin Walker)

    The workshop will concern the latest developments in the mathematical study of quantum field theories. The focus will be on the interplay among topics such as higher category theory, as illustrated by the cobordism hypothesis, conformal field theory, tensor categories describing the quantum symmetries, and the relation to topological phases of matter.

    Updated on Dec 13, 2019 03:28 PM PST
  4. (∞, n)-categories, factorization homology, and algebraic K-theory

    Organizers: LEAD Clark Barwick (University of Edinburgh), David Gepner (University of Melbourne), David Nadler (University of California, Berkeley), Marcy Robertson (University of Melbourne)

    This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory.  These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.  This workshop will be a venue for experts in these areas to present new results, make substantive connections across fields, and suggest and contextualize outstanding questions and problems.  It will consist of 9 speakers, each delivering a 1-hour morning talk and a 1-hour afternoon talk, in addition to a session reserved for drawing attention to an assortment of outstanding problems.

    Updated on Dec 13, 2019 03:28 PM PST
  5. Connections for Women: Decidability, definability and computability in number theory

    Organizers: LEAD Valentina Harizanov (George Washington University), David Marker (University of Illinois, Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), Jennifer Park (Ohio State University), Alexandra Shlapentokh (East Carolina University)

    The aim of the workshop is to discover how the problems in number theory and algebraic geometry arising from the Hilbert’s tenth problem for rationals interact with the ideas and techniques in mathematical logic, such as definability from model theory and decidability and degree-theoretic complexity from computability theory. This interaction includes various analogues of Hilbert’s tenth problem and related questions, focusing on the connections of algebraic, number-theoretic, model-theoretic, and computability-theoretic properties of structures and objects in algebraic number theory, anabelian geometry, field arithmetic, and differential algebra.

    Updated on Apr 11, 2019 01:47 PM PDT
  6. Introductory Workshop: Decidability, definability and computability in number theory

    Organizers: Maryanthe Malliaris (University of Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), LEAD Jonathan Pila (University of Oxford), Alexandra Shlapentokh (East Carolina University)
    Image edited
    Title page of Diophantus' Arithmetica - ETH Zurich

    Our workshop will focus research efforts on the interaction of number-theoretic questions with questions of decidability, definability, and computability, bringing together researchers approaching these questions from various sides to work on the core issues. This Introductory Workshop will serve as the introductory event of the MSRI semester program and is designed to introduce the basic structures and ideas of the different communities, and to highlight problems of active current interest.

    Updated on Apr 23, 2019 01:30 PM PDT
  7. Connections for Women: Random and Arithmetic Structures in Topology

    Organizers: LEAD Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES))
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    This two-day workshop will consist of various talks given by prominent female mathematicians in the field.  These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The workshop will also include a professional development session.

    This workshop is open to all mathematicians.

    Updated on Jun 12, 2018 09:17 AM PDT
  8. Introductory Workshop: Random and Arithmetic Structures in Topology

    Organizers: Jeffrey Brock (Yale University), Michelle Bucher (Université de Genève), LEAD Alan Reid (Rice University)
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    Geometry, Topology and Arithmeticity

    The use of dynamical invariants has long been a staple of geometry and topology, from rigidity theorems, to classification theorems, to the general study of lattices and of the mapping class group. More recently, random structures in topology and notions of probabilistic geometric convergence have played a critical role in  
    testing the robustness of conjectures in the arithmetic setting.

    In this introductory workshop, we will bring together junior and senior researchers in order to provide a mix of introductory lectures as well as reporting on more recent progress in topics from this diverse range of subjects.

    Updated on Jun 17, 2019 08:13 AM PDT
  9. Structure and randomness in locally symmetric spaces

    Organizers: Nicolas Bergeron (École Normale Supérieure), Lewis Bowen (University of Texas, Austin), Yizhaq Gelander (Weizmann Institute of Science), LEAD Alan Reid (Rice University), Abigail Thompson (University of California, Davis)
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    Structure in a locally symmetric space by Jos Leys

    The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and number-theoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces.  The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.

    Updated on Jun 06, 2019 09:08 AM PDT
  10. Introductory Workshop: Mathematical problems in fluid dynamics

    Organizers: Nicolas Burq (Université de Paris XI), Anne-Laure Dalibard (Université de Paris VI (Pierre et Marie Curie)), Jean Marc Delort (Université de Paris XIII (Paris-Nord)), LEAD Mihaela Ifrim (University of Wisconsin-Madison), Irena Lasiecka (University of Memphis), Vladimir Sverak (University of Minnesota Twin Cities)
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    The workshop will address topics in the PDE analysis of the basic equations of the incompressible fluid dynamics (the Euler equations for inviscid flows, the Navier Stokes equations for viscous flows), interface problems (water waves), and other related equations. Open problems and connections to related branches of mathematics will be discussed, including the phenomena of turbulence and the zero viscosity limit. Both theoretical and numerical aspects of these topics will be considered. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

    Updated on Nov 25, 2019 01:09 PM PST
  11. Recent Developments in Fluid Dynamics

    Organizers: Thomas Alazard (Ecole Normale Supérieure Paris-Saclay; Centre National de la Recherche Scientifique (CNRS)), Hajer Bahouri (Université Paris-Est Créteil Val-de-Marne; Centre National de la Recherche Scientifique (CNRS)), Mihaela Ifrim (University of Wisconsin-Madison), Igor Kukavica (University of Southern California), David Lannes (Université de Bordeaux I; Centre National de la Recherche Scientifique (CNRS)), LEAD Daniel Tataru (University of California, Berkeley)
    Water waves

    The aim of the workshop is to bring together a broad array of researchers working on incompressible fluid dynamics. Some of the key topics to be covered are Euler flows, Navier Stokes equations as well as water wave flows and associated model equations. Some emphasis will also be placed on numerical analysis of the above evolutions.

    Updated on Jun 18, 2019 09:54 AM PDT
  12. Integrable structures in random matrix theory and beyond

    Organizers: LEAD Jinho Baik (University of Michigan), Alexei Borodin (Massachusetts Institute of Technology), Tamara Grava (University of Bristol; SISSA), Alexander Its (Indiana University-Purdue University Indianapolis), Sandrine Péché (Université de Paris VII (Denis Diderot))
    Image by Alexei Borodin.

    This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model.

    Updated on Jul 31, 2019 03:22 PM PDT