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This workshop is a celebration of the mathematics of Timothy Gowers, on the occasion of his 60th birthday. There will be speakers from across the spectrum of Gowers’s mathematical interests, from Banach Space Theory to Combinatorics and Additive Number Theory, Theoretical Computer Science and Pedagogy.
Venue: Isaac Newton Institute
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The goal of this workshop is to bring together researchers in complex algebraic and differential geometry, working on notions of stability for algebraic varieties such as K-stability (and in particular the construction of moduli spaces of algebraic varieties), the existence of canonical metrics in Kähler geometry and the many nearby topics that interact with these areas. The relationship between K-stability and the existence of canonical Kähler metrics goes by the name of the Yau-Tian-Donaldson conjecture, and is motivated by a more classical correspondence between stability in the sense of geometric invariant theory and properties of moment maps as used in symplectic geometry—two of the overarching themes of the wider programme. This conference will emphasise the deep links between Kähler geometry, stability conditions and various related problems in equivariant algebraic and differential geometry.
Venue: Isaac Newton Institute
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Commutative algebra is a branch of algebra with deep roots in number theory and algebraic geometry and with exciting connections to algebraic geometry, number theory, topology and combinatorics. In recent years commutative algebra has thrived: four different decades-old conjectures in commutative algebra were resolved, opening up new avenues for investigation and making a collaborative workshop particularly timely.
The major objectives of the workshop are to advance commutative algebra through cutting-edge research; promote the research of women in commutative algebra; facilitate collaborative interaction between junior and senior mathematicians and provide mentoring for early career mathematicians; cultivate a research network among women commutative algebraists; advance the academic careers of women algebraists through research publications and professional connections.
CMI Enhancement and Partnership Program
Venue: CIRM, Trento, Italy
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The overall aim of the workshop is to generate research opportunities at the intersection of the homotopy theory and geometric group theory associated to polyhedral products. These two areas have substantial common ground but to date have had only limited interaction. The workshop will significantly amplify the existing connections and investigate novel interactions between these two areas.
CMI Enhancement and Partnership Program
Venue: ICMS, Edinburgh
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Operator algebras, a major branch of functional analysis, deals mainly with C∗C∗-algebras and von Neumann algebras. These are ∗∗-subalgebras of the algebra of bounded linear operators on a Hilbert space that are closed in an appropriate topology. The field of operator algebras originated with von Neumann in the 1920s as a mathematical framework for modelling phenomena in quantum mechanics. It has since become a fundamental part of modern theoretical physics, as the natural setting for quantum information theory and quantum computing. In addition, operator algebras has connections to several areas of mathematics such as knot theory, dynamical systems, ergodic theory, and foundations.
The main goal of the workshop is to provide an environment for female operator algebraists to collaborate on pioneering research projects. The workshop also aims to develop the network of women in operator algebras and foster collaboration, support, and mentoring between its members. The participants will work in small groups of 4–6 members each led by one or two leaders.
CMI Enhancement and Partnership Program
Venue: Banff International Research Station
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The workshop will have the dual objectives of carrying out simultaneous research projects during the conference that result in ongoing collaboration and mentoring junior researchers in number theory. The conference will bring together established researchers, junior faculty, and advanced graduate students.
The workshop will highlight and advance the scientific goals and research agendas of women who are active and successful researchers in number theory. At the same time this framework will be used to help create a strong collaboration network for junior researchers coming into the field, connect them with important research directions and expand their network of collaborators and research mentors.
Prior to the workshop, each participant will be assigned to a working group according to their research interests, and each group will have one or two leaders who will suggest research projects and provide background reading for their groups. At the conference, there will be background lectures for each project, and a good portion of the time will be allotted for the working groups to meet and work on their project. At the end of the week, some members of each research group will describe their group’s progress as well as future directions for their work.
CMI Enhancement and Partnership Program
Venue: Banff International Research Station
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Reflection arrangements appear in various areas of mathematics including algebra, combinatorics, differential geometry, integrability and singularity theory. The concrete research strands within these areas that we plan to focus on include Cherednik algebras, Coxeter-Catalan combinatorics, logarithmic vector fields, Frobenius manifolds and flat invariants. The main goals of the workshop are to bring together specialists from these diverse fields, to explore remarkable connections between these areas, to enhance viewpoints and to stimulate further research.
Professor Pavel Etingof will give the Clay Lecture, Holonomic modules over Cherednik algebras.
CMI Enhancement and Partnership Program
Venue: ICMS, Edinburgh
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This workshop will bring together mathematicians working in two different, but related, fields: Exterior Differential Systems and Cartan’s Equivalence Method on the one hand and Lie theory (especially Lie pseudo-groups and Lie groupoids/algebroids) on the other. Not only there have been some very exciting advances in these subjects recently, but also it has became clear in the last few years that these areas are intimately connected. Hence, given the current interest by different groups of people and different viewpoints, there is a need for a focused workshop which can bring together the top researchers, promising young researchers, and students in these very active fields.
CMI Enhancement and Partnership Program
Venue: Fields Institute
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The workshop will have the dual objectives of carrying out simultaneous research projects during the conference that result in on-going collaborations and mentoring junior women in mathematics. The conference will bring together established researchers, young faculty, and advanced graduate students.
The conference will highlight and advance the scientific goals and research agendas of women who are active and successful researchers in number theory. At the same time this framework will be used to help create a strong collaboration network for young female researchers coming into the field, connect them with important research directions and expand their network of collaborators and research mentors.
Rather than focusing on disseminating the results of established researchers, the workshop will focus on research projects that will be started during the week of the workshop and have the potential to result in on-going collaboration between the participants.
CMI Enhancement and Partnership Program
Venue: CIRM, Luminy
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Homotopy theory is a very active field of modern mathematics, which not only has contributed significantly to many other fields of mathematics and theoretical physics but is also now being applied to problems in engineering and computer science. As in any other fields of mathematics research, women are underrepresented in homotopy theory. In recent years, however, there has been a small but steady increase in the number of female researchers in the field. This workshop aims to capitalize on this trend, by bringing senior and junior researchers together with graduate students to work on open problems, thus providing a context for collaborations and establishing networks for future research. The ultimate goal is to increase the number and visibility of active female researchers in homotopy
theory.
CMI Enhancement and Partnership Program
Venue: Banff International Research Station,
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This ICMS program consists of a one-week summer school followed by a one-week workshop. The summer school will introduce PhD students and other early-career researchers to essential topics necessary for an understanding of contemporary developments in the field — most spectacularly perhaps, the recent resolution of the existence of Kähler-Einstein metrics on Fano manifolds announced by Donaldson and coworkers and by Tian in December 2012. Work in this area is highly technical and demands background in several areas; few early-career researchers have this breadth of background and therefore for most early-career researchers attendance at the summer school is an integral part of the preparation for the workshop. The five summer school courses have been specially designed to prepare participants for the advanced mini-series of lectures which form the core of the workshop in week 2 and which will present the latest results of research in this area including the work onKähler-Einstein Fano problem.
CMI Enhancement and Partnership Program
Venue: ICMS, Edinburgh
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Speakers: C. Bogner (Berlin), D. Broadhurst (Open University), F. Brunault (ENS Lyon), B. Enriquez (CNRS), G. Felder (ETH Zürich), R. Friedrich (MPIM Bonn), Y. Iijima (RIMS), M. Kaneko (Kyushu), M. Kim (Oxford), U. Kühn (Hamburg), M. Levine (Duisburg-Essen), Y. Manin (MPIM Bonn), H. Nakamura (Osaka), A. Salerno (Bates), L. Schneps (CNRS), S. Stieberger (MPI Physik). T. Terasoma (Tokyo), P. Vanhove (IHES), K. Vogtmann (Cornell and Warwick), S. Wewers (Ulm)
CMI Enhancement and Partnership Program
Venue: ICMAT, Madrid