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 Events
Tue 2 Sep 2014, 9:00am SPECIAL
One Time Event
Math 125
Qualifying Exams - Analysis
Math 125
Tue 2 Sep 2014, 9:00am-12:00pm

Details

For more information on Qualifying Exams, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
Lunch will be provided in  Math 125 for students writing the Analysis exam.
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Tue 2 Sep 2014, 1:00pm SPECIAL
One Time Event
Math 125
Qualifying Exams - Differential Equations
Math 125
Tue 2 Sep 2014, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Tue 2 Sep 2014, 1:00pm SPECIAL
One Time Event
Math 125
Qualifying Exams - Algebra
Math 125
Tue 2 Sep 2014, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Tue 2 Sep 2014, 4:30pm SPECIAL
One Time Event
Math 125
Department Graduate Orientation
Math 125
Tue 2 Sep 2014, 4:30pm-5:30pm

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University College London
Wed 3 Sep 2014, 3:00pm
Probability Seminar
ESB 2012
Gradient Gibbs measures with disorder
ESB 2012
Wed 3 Sep 2014, 3:00pm-4:00pm

Abstract

We consider - in uniformly strictly convex potentials case - two versions of random gradient models. In model A) the interface feels a bulk term of random fields while in model B) the disorder enters though the potential acting on the gradients itself. It is well known that without disorder there are no Gibbs measures in infinite volume in dimension d = 2, while there are gradient Gibbs measures describing an infinite-volume distribution for the increments of the field, as was shown by Funaki and Spohn. Van Enter and Kuelske proved that adding a disorder term as in model A) prohibits the existence of such gradient Gibbs measures for general interaction potentials in d = 2. Cotar and Kuelske proved the existence of shift-covariant gradient Gibbs measures for model A) when d > 2 and the expectation with respect to the disorder is zero, and for model B) when d > 1. 

In recent work, we prove uniqueness of shift-covariance gradient Gibbs measures with expected given tilt under the above assumptions. We also prove decay of covariances for both models. 

We will also discuss in the talk the case of non-convex potentials with disorder.

This is partly based on joint work with Christof Kuelske.

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UBC
Fri 5 Sep 2014, 3:00pm
Department Colloquium
Math Annex 1100
Remarks on the local Langlands conjectures.
Math Annex 1100
Fri 5 Sep 2014, 3:00pm-4:00pm

Abstract

The Langlands program, initiated in the 1960s, is a set of conjectures predicting a unification of number theory and the representation theory
of groups. More precisely, the Langlands correspondence provides a way to interpret results in number theory in terms of group theory, and vice versa.

In this talk we sketch a few aspects of the local Langlands correspondence using elementary examples. We then comment on some questions raised by the emerging "mod p" Langlands program.
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