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XVIII International Congress on Mathematical Physics (ICMP 2015)

The International Congress of Mathematical Physics (ICMP), on its three year cycle, is the most important conference of the International Association of Mathematical Physics. The ICMP 2015 will be a major event, where new results and future challenges will be discussed, illustrating the richness and vitality of Mathematical Physics.

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Venue: Pontificia Universidad Catolica de Chile, Santiago de Chile

Advances in Geometric Analysis

Geometric analysis is an exciting branch of mathematics which has been developing rapidly over the past first year.  This conference is being held in honour of Rick Schoen, who has been a towering and influential leader in these developments.  Many of the world’s experts in the field will be speaking at this event.

Image by Rwendland, via Wikimedia Commons

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Venue: University of Warwick

AMS Summer Institute in Algebraic Geometry

Since Zariski organised a meeting in 1953 at which Serre’s work on coherent sheaves was introducted to American alebraic geometry, there has been a major algebraic geometry meeting every decade.  These meetings have had a profound influence on the subject, providing a natural point to summarize a decade of progress and new developments, and an opportunity to lay out new programs and ideas for the next decade.

Plenary lecturers: Tom Bridgeland (Sheffield), Serge Cantat (Rennes), Simon Donaldson (Imperial and Stony Brook), Hélène Esnault (FU Berlin), Mark Gross (Cambridge), Christopher Hacon (Utah), Mark Kisin (Harvard), Maxim Kontsevich (IHES), Jacob Lurie (Harvard), James McKernan(UC San Diego), Bao Châo Ngô (Chicago), Andrei Okounkov (Columbia), Rahul Pandharipande (ETH Zürich), Peter Scholze (Bonn), Claire Voisin (École Polytechnique), Shou-Wu Zhang (Princeton)

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Venue: University of Utah

Future Directions in Model Theory and Analytic Functions

A conference on the occasion of the retirement of Alex Wilkie.

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Venue: University of Manchester

Arithmetic Geometry, Representation Theory and Applications

This conference aims at giving an overview of some of the most striking results in arithmetic geometry with an emphasis on p-adic aspects. The main topics that will be covered are p-adic Hodge theory, (p-adic and l-adic) Langlands correspondences, Shimura varieties and ramification theory. 

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Venue: CIRM, Luminy

International Conference in Number Theory and Physics

This school and conference will bring together leading researchers in number theory and physics to foster further mutually beneficial interaction between the two fields.

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Venue: IMPA, Rio de Janeiro

Non-Archimedean Geometry and its Applications

There have been numerous recent advances in non-Archimedean geometry. These advances have seen new and sometimes unexpected applications across mathematics. In order to make these developments known to a larger audience, the present conference will bring together leading experts in those fields where non-Archimedean geometry or non-Archimedean analysis plays an important role, with the hope of fostering further connections between these fields.

Among the themes represented at the conference will be Berkovich spaces, tropical geometry, dynamical systems, and p-adic Hodge theory.

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Venue: University of Michigan

X Americas Conference on Differential Equations and Nonlinear Analysis

This conference is a sequel to the Americas Conference on Differential Equations and Nonlinear Analysis series that started in 1994 with a meeting in Taxco, Mexico, and has held meeting on a regular basis ever since.  This is the first time the meeting will take place in Argentina. 

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Venue: University of Buenos Aires

AIMS-Stellenbosch University Number Theory Conference

The goal of this conference is to give a broad perspective of areas of modern number theory and to highlight some recent advances.  The conference is one of the biennial Number Theory meetings which have been held at Stellenbosch University since 1997.

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Venue: AIMS South Africa and Stellenbosch University

Women in Numbers Europe 2

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.

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Venue: Lorentz Center, Leiden, The Netherlands

Quantum Integrable Systems, Conformal Field Theories and Stochastic Processes

Universality within and between complex random systems is a striking concept which has played a central role in the direction of research within probability, mathematical physics and statistical mechanics.  Complementary to universality, is the exact description of the behaviors that are supposed to be universal as well as the determination which systems are supposed to display them.  In recent years there has been an immense amount of progress in the rigorous mathematical understanding of certain universal scaling limits in both equilibrium and non-equilibrium statistical physical systems.  On the equilibrium side, critical scaling limits are often described in terms of conformal field theories, among which Liouville quantum gravity plays an important role.  On the non-equilibrium side, systems like growth processes are described through the Kardar-Parisi-Zhang universality class.

There is reason to believe that these two directions share many (as of yet) unexploited relationships.  For instance, the field of quantum integrable systems was developed to study equilibrium systems, but has now found itself center stage in the KPZ universality class.  Conversely, methods developed in stochastic PDEs for non-equilibrium systems have begun to make their way into constructive field theory.

The purpose of this two week conference is to bring together experts in these two areas and enable a lively exchange of ideas and methods through mini-courses and research talks.

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Venue: Institut d'Études Scientifiques de Cargèse

EMS/EWM Survey Lectures 2016

European Women in Mathematics, jointly with the European Mathematical Society’s Women in Mathematics Committee, is organizing an event during the 7th ECM in Berlin in 2016, aimed at celebrating and giving prominence to female mathematics of excellence in Europe. The event includes five 50 minutes survey/colloquium style lectures by outstanding young women mathematicians onSsunday 17 July, a public talk with discussion, and the Exhibition: Women Mathematicians in Europe, a gallery of portraits on Wednesday 20 July. 

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Venue: TU Berlin