Dept. of Mathematics and Statistics

22Jan201816:00
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17:00

Title: Yang-Mills flow in dimension four

 

Abstract: Among the classical geometric evolution equations, YM flow is the least nonlinear and best behaved. Nevertheless, curvature concentration is a subtle problem when the base manifold has dimension four. I'll discuss my proof that finite-time singularities do not occur, and briefly describe the infinite-time picture.

23Jan201815:00
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16:00

Title: Computer-assisted theorems for the Ohta-Kawasaki problem.

Abstract:

In this talk we discuss a rigorous numerical method to study pattern formation in the Ohta-Kawasaki model in both two and three dimensions. This model appears in the study of di-block copolymers. The model describes, roughly speaking, the balance between long range attraction and short range repulsion.

23Jan201814:30
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16:30

 

Part B Examination

PRINCIPAL EXAMINERS:              

Piotr Przytycki
Topic 1: Systolic Complexes

Bogdan Nica
Topic 2: CAT(0) Cube Complexes                                    

 

OTHER EXAMINERS:              

Daniel Wise                               
C
hristophe Hohlweg (UQAM) 
Jerome Vétois                                               

23Jan201815:30
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16:30

Counting ribbon graphs using quantum field theory.

23Jan201815:30
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16:30

How do we know whether a predictive model is of clinical value? How do we know whether a molecular marker is worth measuring? A discussion of some simple decision analytic methods.

24Jan201814:45

Convexity of balls in the outer space.

In this talk we answer questions regarding the convexity properties of geodesics and balls in Outer space equipped with the Lipschitz metric. We introduce a class of geodesics called balanced folding paths and show that, for every loop α, the length of α along a balanced folding path is not larger than the maximum of its lengths at the end points. This implies that out-going balls are weakly convex. We then show that these results are sharp by providing several counterexamples.
25Jan201815:00
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16:00

Copula-Based Logistic Regression Estimation.

26Jan2018

The CRM-SSC Prize in Statistics is awarded annually by the Centre de recherches mathématiques (CRM) and the Statistical Society of Canada (SSC). It is awarded in recognition of a statistical scientist’s professional accomplishments in research during the first fifteen years after having received a doctorate.

26Jan201811:00
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12:00

Donaldson's transversality and complex geometry.

Donaldson's asymptotic technics are a theory which has been used in symplectic geometry. They use an analogy between symplectic geometry and complex geometry. Donaldson noticed that they provide new results even in complex geometry. I will give new examples of such complex results.
26Jan201813:30
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14:30

Title: Spectral asymptotics for Steklov’s problem in domains with edges.


Abstract: We derive sharp eigenvalue asymptotics for Dirichlet-to-Neumann operator in the domain with edges and discuss obstacles for deriving a sharper (two-term) asymptotics.

18Sep2017
to
15Jul2018

Registration has opened for the 2018 ICMP being held in Montreal July 23-28, 2018. You can register here.