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Upcoming Programmatic Workshops

  1. Connections Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems

    Organizers: LEAD Ioana Dumitriu (University of California, San Diego), Alisa Knizel (The University of Chicago)
    An illustration of the TASEP interface growth by Leonid Petrov and Hao Yu Li.

    This workshop will focus on cutting-edge research in random matrices and integrable probability. We will explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers. We will have a panel discussion of topics relevant to junior researchers, women, and minorities; a poster session for students and recent PhDs; and other social events. This workshop is open to and welcomes all mathematicians.

    Updated on May 06, 2020 11:42 AM PDT
  2. Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems

    Organizers: LEAD Gerard Ben Arous (New York University, Courant Institute), Alice Guionnet (École Normale Supérieure de Lyon), Sylvia Serfaty (New York University, Courant Institute), Horng-Tzer Yau (Harvard University)

    The introductory workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory.

    Updated on Mar 19, 2020 11:30 AM PDT
  3. 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; International School for Advanced Studies (SISSA/ISAS)), Alexander Its (Indiana University--Purdue University), 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
  4. Connections Workshop: The Analysis and Geometry of Random Spaces

    Organizers: Mario Bonk (University of California, Los Angeles), LEAD Joan Lind (University of Tennessee), Eero Saksman (University of Helsinki), Jang-Mei Wu (University of Illinois at Urbana-Champaign)
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    Simulation of the discrete planar Gaussian free field. Image by Dr. Ellen Powell.

    The Connections Workshop will feature talks on a variety of topics related to the analysis and geometry of random spaces. It will preview the research themes of the semester program and will highlight the work of women in the field. There will be a panel discussion as well as other social events. This workshop is directly prior to the Introductory Workshop, and participants are encouraged to participate in both workshops. This workshop is open to all mathematicians.

    Updated on Mar 25, 2021 09:38 AM PDT
  5. Introductory Workshop: The Analysis and Geometry of Random Spaces

    Organizers: LEAD Mario Bonk (University of California, Los Angeles), Joan Lind (University of Tennessee), Steffen Rohde (University of Washington), Fredrik Viklund (Royal Institute of Technology)
    Interface for the critical Ising model, approaching an SLE curve in the scaling limit (image by Dr. Malin P. Forsström)

    This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include ``visionary” lectures by prominent researchers who will outline fruitful directions for future research.

    Updated on Mar 24, 2021 10:16 AM PDT
  6. Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables

    Organizers: Núria Fagella (University of Barcelona), LEAD Tanya Firsova (Kansas State University), Thomas Gauthier (École Polytechnique), Sarah Koch (University of Michigan)

    This workshop will feature lectures on a variety of topics in complex dynamics, given by prominent researchers in the field, as well as presentations by younger participants. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.

    Updated on Mar 17, 2021 09:28 AM PDT
  7. The Analysis and Geometry of Random Spaces

    Organizers: Nikolai Makarov (California Institute of Technology), LEAD Steffen Rohde (University of Washington), Eero Saksman (University of Helsinki), Amanda Turner (University of Lancaster), Fredrik Viklund (Royal Institute of Technology), Jang-Mei Wu (University of Illinois at Urbana-Champaign)
    Image by Prof. Amanda Turner

    The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.

    Updated on Jan 05, 2021 03:32 PM PST
  8. Adventurous Berkeley Complex Dynamics

    Organizers: Mikhail Lyubich (State University of New York, Stony Brook), LEAD Jasmin Raissy (Institut de Mathématiques de Toulouse), LEAD Roland Roeder (Indiana University--Purdue University), Dierk Schleicher (Université d'Aix-Marseille (AMU)), Mitsuhiro Shishikura (Kyoto University)
    Image by Scott Kaschner

    This workshop will focus on complex dynamics in one and several variables. We will bring toghether experts in rational dynamics, transcendental dynamics, and dynamics in several complex variables in order to get new perspective and foster discussions in a warm and stimulating atmosphere. A special focus will be put on the interactions between one dimensional and higher dimensional complex dynamics, and on connections with adjacent areas of mathematics.

    Updated on Feb 10, 2021 08:38 AM PST
  9. Connections Workshop: Analytic and Geometric Aspects of Gauge Theory

    Organizers: Lara Anderson (Virginia Polytechnic Institute and State University), Casey Kelleher (Princeton University), LEAD Laura Schaposnik (University of Illinois at Chicago)
    Schaposnik 2019 higgs fig2
    The nilpotent cone in red over the 0, and the points A, B and C, lying over the C*-fow and of the Hitchin section respectively.

    This two-day workshop will consist of various talks given by prominent female mathematicians on topics of analytic and geometric aspects of gauge theory. These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The meeting aims to support young researchers working in analytic and geometric aspects of gauge theory by   facilitating mentoring from senior colleagues and helping towards the development of crucial professional skills. The format will include mentoring pairings, panel discussions, and Q&A sessions as well as the opportunity for informal discussions and connections.

    Updated on Mar 22, 2021 09:08 AM PDT
  10. Connections Workshop: Floer Homotopy Theory

    Organizers: Teena Gerhardt (Michigan State University), LEAD Kristen Hendricks (Rutgers University), Ailsa Keating (University of Cambridge)
    An illustration of a generic Heegaard quadruple by K. Hendricks, J. Hom, M. Stoffregen, and I. Zemke

    This workshop will feature talks by experts in Floer theory (and its applications to low-dimensional topology) and homotopy theory. It will include two mini-courses aimed at graduate students and other researchers who are new to the field, as well as a sequence of research talks. There will also be a "fireside chat" focusing 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 05, 2021 02:47 PM PST
  11. Introductory Workshop: Floer Homotopy Theory

    Organizers: Sheel Ganatra (University of Southern California), Terry Lawson, LEAD Robert Lipshitz (University of Oregon), Nathalie Wahl (University of Copenhagen)

    Over the last decade, there has been a wealth of new applications of homotopy-theoretic techniques to Floer homology in low-dimensional topology and symplectic geometry, including Manolescu’s disproof of the high-dimensional Triangulation Conjecture and Abouzaid-Blumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to S-Lie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.

    Updated on Mar 10, 2021 09:12 AM PST
  12. New four-dimensional gauge theories

    Organizers: Andriy Haydys (Albert-Ludwigs-Universität Freiburg), Lotte Hollands (Heriot-Watt University, Riccarton Campus), LEAD Eleny-Nicoleta Ionel (Stanford University), Richard Thomas (Imperial College, London), Thomas Walpuski (Humboldt-Universität)
    Msri pic crop
    Image drawn by Dr. Lotte Hollands

    This workshop will bring together researchers working on new four-dimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously.  More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.

    Created on Mar 18, 2021 02:28 PM PDT
  13. Floer homotopical methods in low dimensional and symplectic topology

    Organizers: LEAD Mohammed Abouzaid (Columbia University), Andrew Blumberg (Columbia University), Jennifer Hom (Georgia Institute of Technology), Emmy Murphy (Northwestern University), Sucharit Sarkar (University of California, Los Angeles)

    The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.

    Updated on Mar 18, 2021 02:21 PM PDT
  14. Connections Workshop: Algebraic Cycles, L-Values, and Euler Systems

    Organizers: Henri Darmon (McGill University), Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), LEAD Elena Mantovan (California Institute of Technology)
    Portrait pure
    David Lowry-Duda. Modular form of weight 32 and level 3. For details, see http://davidlowryduda.com/trace-form/

    The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, L-values, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers.

    Updated on Apr 09, 2021 09:14 AM PDT
  15. Introductory Workshop: Algebraic Cycles, L-Values, and Euler Systems

    Organizers: Henri Darmon (McGill University), LEAD Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), Elena Mantovan (California Institute of Technology)
    Image credit: Vincent J. Matsko, 6-adic Koch-like fractal. For details, see http://www.vincematsko.com/Art/ICERM.html

    The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research.

    Updated on Apr 12, 2021 10:18 AM PDT