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This is a two-week long research summer school on algebraic geometry and related number theory. Topics to be included are Computational commutative algebra, Subvarieties of low degree in projective spaces, sheaf cohomology, Singular points of complex hypersurfaces, Birational geometry of moduli spaces, Arakelov theory and Hypergeometric Galois actions.
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Venue: Galatasaray University
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There will be two 4-week courses:
Asaf Nachmias: Random walks on random fractals.
Elchanan Mossel: Influences and noise stability in product space.
as well as 3 short (3 lecture) courses:
Alison Etheridge, Stochastic models of evolution (June 5-9)
Allan Sly, Phase transitions for random constraint satisfaction (June10-13)
Ofer Zeitouni, Log correlated Gaussian fields and branching random walks (June 23-27)
There will also be opportunities for interested participants to present their own research. The courses are intended primarily for graduate students and postdoctoral fellows in Probability.
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Venue: University of British Columbia
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Derived Differential Geometry by Dominic Joyce & Applications of moduli spaces of J-holomorphic curves to symplectic geometry by Lino Amorim
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Venue: QGM, Aarhus University
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McGill University will host the CRM-PIMS probability summer school from June 15-July 11, 2015.
There will be two main courses, given by Alice Guionnet and Remco van der Hofstad, as well as mini-courses by Louigi Addario-Berry, Shankar Bhamidi and Jonathan Mattingly.
CMI Enhancement and Partnership Program
Venue: McGill University
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Organized as part of the IHÉS Lectures, this 2-week Summer School will be the last major scientific event of the special trimester on Non-Linear Waves that will start in the beginning of May 2016 at IHÉS. This school aims to provide an overview of recent developments in the field and to provide to post-docs and young researchers working in these domainsan an opportunity to interact with leading experts on the subject. Anther objectives is to gather researchers with different backgrounds whose research is much more converging today than 4 years ago. Last but not least, another objective would be the following: the advances have helped to solve classical problems from physics with new and very advanced methods based on analytical intuition thus not always understood or simply not well-known by the physicists. The idea would be to initiate a transfer to physicists interested in non linear waves phenomena and intensify the discussions on more realistic models, whether fluid, kinetic or of high-frequency waves.
CMI Enhancement and Partnership Program
Venue: IHÉS
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This research school is aimed at graduate students and young researchers in Geometry, Topology and Mathematical Physics, although undergraduates and senior researchers in other areas may profit of the introductory lectures too, and are warmly invited to join the School.
The main goal is to provide participants with a solid background in Algebraic Topology, and more specifically in Rational Homotopy Theory. This will be used as the starting point and common framework for the presentation of current research topics including operads, string topology, applied topology, and algebraic geometry.
The organizers have planned 30 hours of courses, 14 hours of exercises or/and discussion sessions, and 6x20mn-communications. The first and introductory course on the subject will be taught in French, while the other courses will be taught in English.
Image: Wikimedia Commons
CMI Enhancement and Partnership Program
Venue: Université Internationale de Rabat, Morocco
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Starting from the state of art, the school aims at promoting new directions in sharp limiting inequalities of Trudinger-Moser types and applications to problems arising from geometry and physics. Professors Hajer Bahouri, Sun-Yung Alice Chang and Gabriella Tarantello will present three courses focusing on this topic, along with addiitonal talks given by some of the participants, as well as a poster session. These supplementary research activities will complement the main courses and motivate further discussion among participants. Students, post-docs and other young researchers will have the opportunity to get up to date with new research advances, or to enter this fasciniting field of research.
CMI Enhancement and Partnership Program
Venue: Institut Mittag-Leffler
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The Arizona Winter School is an intensive five-day-long school in which advanced graduate students work closely with senior faculty and postdoctoral fellows. In contrast to a typical conference at which individual researchers present their work in relative isolation, the AWS features a small number of extended courses on a set of closely related topics. The organizers work hard to ensure significant interaction among all participants. For instance, each speaker is assigned a group of students who work with him or her and a postdoctoral assistant on a research project during the Winter School. These students present the results of their research in a lecture at the end of the meeting. Other students work with a postdoctoral assistant in a problem session related to one or more of the lecture series. Still other students work in study groups, carefully learning the material from one the lecture series together. To facilitate work on the projects, problems, and study groups, speakers, assistants, and students meet in evening working sessions. Participants frequently describe the AWS as a highly intense, but particularly productive, experience.
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Venue: University of Arizona
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The study of geometric flows is a fundamental branch of modern mathematical research which lies at the intersection of analysis and geometry, and which has led to spectacular achievements, such as the proof of the Poincaré conjecture by means of the Ricci flow. This school will focus on extrinsic flows, where the evolving object is a submanifold of an ambient space. The most fundamental example of extrinsic flow is the mean curvature flow which is deeply connnected to the theories of minimal surfaces and of diffusive partial differential equations. Extrinsic flows have important applications to the geometry of submanifolds, and their study provides an effective strategy for obtaining topological classification results and for proving sharp geometric inequalities. This two-week school will introduce students to the basic ideas and to the most recent breakthroughs in the field.
CMI Enhancement and Partnership Program
Venue: Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
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The Arizona Winter School is an intensive five-day-long school in which advanced graduate students work closely with senior faculty and postdoctoral fellows. In contrast to a typical conference at which individual researchers present their work in relative isolation, the AWS features a small number of extended courses on a set of closely related topics. The organizers work hard to ensure significant interaction among all participants. For instance, each speaker is assigned a group of students who work with him or her and a postdoctoral assistant on a research project during the Winter School. These students present the results of their research in a lecture at the end of the meeting. Other students work with a postdoctoral assistant in a problem session related to one or more of the lecture series. Still other students work in study groups, carefully learning the material from one the lecture series together. To facilitate work on the projects, problems, and study groups, speakers, assistants, and students meet in evening working sessions. Participants frequently describe the AWS as a highly intense, but particularly productive, experience.
Venue: University of Arizona
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The Escuela Latinoamericana de Geometría Algebraica (ELGA) series of schools quickly became a major event for algebraic geometry in Latin America, serving as a meetng point for the whole community. The goal of this fourth edition is again to bring together experts in algebraic geometry to present different topics of current research to advanced graduate students, post docs and early career researchers. The school will offer five main courses by Jean-Pierro Demailly (Grenoble Alpes), Igor Dolgachev (Michigan), Angela Ortega (Humboldt), Vincent Pilloni (ENS Lyon), and Claire Voisin (Collège de France). There will also be several survey lectures on a wide range of themes in algebraic geometry and its applications, as well as a series of research talks given by young researchers.
Image: Felipeutal, Wikimedia Commons
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Venue: Universidad de Talca, Chile
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The aim of this summer school is to offer a complete course in semiclassical analysis to students and post docs unfamiliar with these tools, giving a thorough introduction with full technical detail in the core of the subject. Alongside the main course, there will be courses offering background information for students with less preparation and courses on cutting-edge applications of semiclassical methods in a variety of areas of pure and applied mathematics. During the first week a course in mathematical quantum mechanics will provide some historical context and physical intuition for the ideas of semiclassical analysis, while a concurrent course in Fourier analysis and distribution theory will ensure that all participants are proficient with these essential tools. Weeks two and three will offer more sophisticated topics courses, featuring applications of semiclassical methods in scattering theory and eigenfunction asymptotics.
Image: Madcoverboy at English Wikipedia
CMI Enhancement and Partnership Program
Venue: Northwestern University