The resolution of singularities is one of the major topics in algebraic geometry. Due to its difficulty and complexity, as well as certain historical reasons, research to date in the field has been pursued by a relatively small group of mathematicians. However the field has begun a renaissance over the last twenty years, boosted by many small conferences and schools, with the discovery of more conceptual proofs of the characteristic zero case, as well as several brilliant attempts at the still unresolved prime characteristic case. This school will consist of three weeks of foundational courses supplemented by exercise and problem sessions, designed to provide graduate students and young mathematicians with a comprehensive framework for research in this field. The fourth week will consist of mini-courses with selected experts, aimed at providing participants with state of the art techniques, as well as a survey of some of the main open problems and the most promising approaches now under investigation. The Obergurgl Center is situated at 2000m above sea level in the Tyrolean Alps, two hours from Innsbruck (by bus) and four hours from Munich (by train and bus), both with international airports. Facilities will be provided for lectures, meals and lodging at the center.

http://www.claymath.org/programs/summer_school/2012/

Invited Speakers:
Erhan Bayraktar (University of Michigan)
Vaclav Benes (Bell Labs)
Sourav Chatterjee (Courant, NYU)
Mark Davis (Imperial College)
Jerome Detemple (Boston University)
Darrell Duffie (Stanford)
Nicole El Karoui (Ecole Polytechnique)
Robert Fernholz (INTECH)
Wendell Fleming (Brown)
Hans Föllmer (Humboldt)
John Geanakoplos (Yale)
Paolo Guasoni (Boston University and Dublin City University)
Michael Harrison (Stanford)
Jan Kallsen (Kiel)
Constantinos Kardaras (Boston University)
Alex Kontorovich (Yale)
John Lehoczky (Carnegie Mellon; tentative)
Jin Ma (USC; tentative)
Soumik Pal (Washington)
Birgit Rudloff (Princeton)
Johannes Ruf (Oxford)
Walter Schachermayer (Vienna)
Mykhaylo Shkolnikov (Berkeley)
Albert Shiryaev (Steklov, Moscow)
Steven Shreve (Carnegie Mellon)
Mihai Sirbu (University of Texas)
William Sudderth (University of Minnesota)
Nizar Touzi (Ecole Polytechnique)
Thaleia Zariphopoulou (Oxford)

http://math.columbia.edu/procofin

The summer school will take place June 4-29, at the University of British Columbia in Vancouver. Further information will appear this September, including instructions for registration and requesting support.

Keynote speakers include:
Alexander Holroyd (Microsoft Research & UW)
Rick Kenyon (Brown University)
Yuval Peres (Microsoft Research & UW)
Gordon Slade (University of British Columbia)
Balint Virag (University of Toronto)

http://www.math.ubc.ca/Links/ssprob12/

The CNTA was founded in 1987 at the International Number Theory conference at Laval University. Approximately every 2 years since then, the universities of one Canadian city organize a week-long celebration of number theory. The purpose of the CNTA is to enhance and promote learning and research in Number Theory. To advance these goals the CNTA organizes major international conferences, with the aim of exposing students and researchers to the latest developments in number theory world wide. The previous meetings were held in Banff (1988), Vancouver (1989), Kingston (1991), Halifax (1994), Ottawa (1996), Winnipeg (1999), Montréal (2002), Toronto (2004), Vancouver (2006), Waterloo (2008), and Wolfville (2010). These have been high quality conferences which have had wide participation of the international number theory community. It is now one of the largest international meetings in the field, along with the European Journéees Arithmétiques.

http://www.math.ubc.ca/Links/ssprob12/

Nonlocal discrete models are common in many applications. For example, molecular dynamics and other particle methods having interactions that extend beyond nearest neighbors are in common use. Less popular are nonlocal continuum models which are very much dominated in their usage by local continuum models and especially differential equation models.

However, in recent years, there has been burgeoning interest in mathematical, scientific, and engineering circles in nonlocal continuum models, especially for solid mechanics, diffusion, and wave propagation. This interest is motivated by the desire to model singular or anomalous behavior such as cracks and fracture in solids and, more generally, by the need to develop multiscale models, that is, models that are valid and tractable over a wide range of temporal and spatial scales. As a result, there are by now researchers all over the world investigating diverse aspects of nonlocal continuum models.

Participants in the workshop will discuss modeling, mathematical, statistical, computational, and applications issues such as

• kernel choices
• connections between nonlocal continuum models and discrete models such as Molecular Dynamics
• well posedness of the equations
• limiting behaviors of solutions
• Finite element and other discretization methods
• efficient solution methods for discretized systems
• uncertainty quantification
• applications including but not limited to mechanics, image processing, graphs, diffusion, and wave propagation

Uncertainty quantification (UQ) through nonlocal models is especially intriguing because of the very different nature of local and nonlocal models with respect to such effects as dispersion, smoothing or the lack thereof.

http://www.samsi.info/programs/summer-program-june-25-29-2012-nonlocal-continuum-models-diffusion-mechanics-and-other-appl