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This summer school will consist of two advanced graduate courses, given by Martin Barlow and Gregory Lawler. We plan these to be official courses at UBC and so graduate students at universities in W. Canada can receive credit for them through the Western Deans Agreement.
Those interested in attending these courses (graduate students, pdf's , faculty members) are encouraged to sign up asap using the online registration form as there will be limited space in the lecture rooms.
If you have queries about the courses please check our website at http://www.pims.math.ca/science/2004/ssprob or send questions to firstname.lastname@example.org.
There will be some financial support available for graduate students and postdoctoral fellows who would like to attend. Please indicate that you wish to apply for financial support on the online registration form. This will basically cover the cost of a dorm room for the one month course.
Applications for support should consist of:
- A brief letter of application,
- A cv of the applicant
- A letter from the applicant's supervisor. (Please indicate the name of the applicant in the subject line.)
These should all be emailed to email@example.com.
The deadline for applications for financial support is Dec. 1, but it would help us greatly with planning if you could let us know of your interest in applying before Sept. 30.
With the exception of those who receive financial support, all other participants are responsible for booking their own accommodation. On-campus accommodation for those on a student budget can be found at:
Conferences and Accommodation at UBC
5961 Student Union Boulevard, Vancouver, BC V6T 2C9
Tel: 604-822-1000 Fax: 604-822-1001, e-mail: firstname.lastname@example.org
Vancouver School of Theology (dormitory rooms)
6000 Iona Drive, UBC, Vancouver, BC, V6T 1L4
Tel: 604-822-9031 Fax: 604-822-0189
Triumf Guest House
5745 Agronomy Road, UBC, Vancouver, BC, V6T 1L9
Tel: 604-222-1062 Fax: 604-222-7314, e-mail: email@example.com
All of the above locations provide affordable rooms with shared washrooms, lounges and kitchens.
To search for off-campus accommodation please visit http://www.travel.bc.ca/accommodations to find the most appropriate option for your needs.
Visitor information to PIMS-UBC is available at http://www.pims.math.ca/pimssites/ubc/visitor.html.
Math 608E. Random walks and geometry of graphs
In the late 1950s and early 1960s de Giorgi, Moser and Nash obtained regularity estimates for divergence form PDEs. Their ideas have been very fruitful, and have been developed in many directions, but it is only fairly recently that they have been extended to the context of random walks on graphs.
This course will survey these ideas, the interactions between geometric properties of graphs, and the behaviour of random walks, transition densities, and harmonic functions.
Prerequisites will be a knowledge of first-year graduate probabilty at roughly the level of Durrett, Probability: Theory and Examples.
Math 601A. The Schramm-Loewner evolution and other conformally invariant processes in the plane.
A number of lattice systems in statistical physics "at criticality" are conjectured to have scaling limits that are in some sense conformally invariant. This course will focus on the mathematics of these limits, including the Schramm-Loewner evolution (SLE) and restriction measures (which are related to 2-d Brownian motions), as well as some discussion of discrete models. I will assume first-year graduate courses in probabilty and complex variables (at the level of Durrett, Probability: Theory and Examples and Ahlfors, Complex Analysis, respectively).
Instructors are Martin Barlow (UBC) and Gregory Lawler (Cornell).
Mondays 9:30 - 11:00 Math 608E 11:00 - 11:20 Coffee break 11:20 - 12:50 Math 601A Tuesdays 9:30 - 11:00 Math 608E 11:00 - 11:20 Coffee break 11:20 - 12:50 Math 601A 2:00 - 3:30 Math 608E Wednesdays Study day Thursdays 9:30 - 11:00 Math 608E 11:00 - 11:20 Coffee break 11:20 - 12:50 Math 601A 2:00 - 3:30 Math 601A Fridays 9:30 - 11:00 Math 608E 11:00 - 11:20 Coffee break 11:20 - 12:50 Math 601A
All classes are scheduled to take place in the PIMS Conference Room. Coffee breaks at PIMS.
© 2007 Pacific Institute for the Mathematical Sciences
Last Modified: Tuesday, 11-May-2004 11:19:55 PDT