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 Events
University of Ottawa
Tue 6 Aug 2013, 3:10pm
Algebraic Geometry Seminar
ESB 2012
Formal group laws and divided difference operators
ESB 2012
Tue 6 Aug 2013, 3:10pm-4:10pm

Abstract

We discuss possible generalizations of the concept of Schubert and Grothendieck polynomials to the context of an arbitrary algebraic oriented cohomology theory. We apply these techniques to a rational formal group law and 
obtain formulas for the respective polynomials in the A_n-cases. This is a joint project with C. Zhong.
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University of Ottawa
Wed 7 Aug 2013, 3:00pm SPECIAL
Topology and related seminars
ESB 4127
Equivariant oriented cohomology of a projective homogeneous variety: Algebraic model.
ESB 4127
Wed 7 Aug 2013, 3:00pm-4:00pm

Abstract

We apply the techniques of formal Demazure operators to obtain an algebraic model for the T-equivariant oriented cohomology of the variety of Borel subgroups of a linear algebraic group. This is a joint project with B. Calm\`es and C. Zhong.
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Ben-Gurion University of the Negev
Wed 21 Aug 2013, 3:00pm
Probability Seminar
MATH 126
Random points in the metric polytope
MATH 126
Wed 21 Aug 2013, 3:00pm-4:00pm

Abstract

We investigate a random metric space on n points constrained to have all distances smaller than 2, or in other words, we take a random point from the Lebesgue measure on the intersection of the so-called metric polytope with the cube [0,2]^(n(n-1)/2). We find that, to a good precision, the distances behave simply like i.i.d. numbers between 1 and 2.
Our proof uses an interesting mix of entropy methods and  the concept of "partial exchangeability".
Based on joint work with Gady Kozma Ron Peled and Wojciech Samtoij.
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Mon 26 Aug 2013, 10:00am SPECIAL
One Time Event
Math 100
Dept Graduate Orientation
Math 100
Mon 26 Aug 2013, 10:00am-1:00pm

Details

Lunch is at noon Math 125
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Fok-Shuen Leung
Tue 27 Aug 2013, 9:00am SPECIAL
One Time Event
LSK 460
TA Training
LSK 460
Tue 27 Aug 2013, 9:00am-5:00pm

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Univeristy of Montreal and CRM
Tue 27 Aug 2013, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012 (PIMS)
QUANTUM WIRES, ORTHOGONAL POLYNOMIALS AND DIOPHANTINE APPROXIMATION
ESB 2012 (PIMS)
Tue 27 Aug 2013, 3:30pm-4:30pm

Abstract

An important problem in Quantum Information is the transfer of states with high fidelity between locations. The devices performing this function are referred to as quantum wires. Spin chains can in principle be used to construct such wires. I shall discuss the design of spin chains that realize perfect and almost perfect transfer, that is that transport a state from one end of the chain to the other with probability one or almost one over some time.
Orthogonal Polynomial Theory and elements of Diophantine approximation will  be called upon.
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Fok-Shuen Leung
Wed 28 Aug 2013, 9:00am SPECIAL
One Time Event
LSK 460
TA Training
LSK 460
Wed 28 Aug 2013, 9:00am-5:00pm

Details


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Wed 28 Aug 2013, 1:00pm SPECIAL
One Time Event
Math 100
Qualifying Exams - Differential Equations
Math 100
Wed 28 Aug 2013, 1:00pm-4:00pm

Details


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Zhengzheng Yang
Thu 29 Aug 2013, 9:00am SPECIAL
One Time Event
Room 203, Graduate Student Centre (6371 Crescent Road)
Doctoral Exam
Room 203, Graduate Student Centre (6371 Crescent Road)
Thu 29 Aug 2013, 9:00am-11:30am

Details

Symmetry methods are important in the analysis of differential equation (DE)
systems. In this thesis, we focus on two significant topics in symmetry analysis:
nonlocally related partial differential equation (PDE) systems and the application
of the nonclassical method.
In particular, we introduce a new systematic symmetry-based method for constructing
nonlocally related PDE systems (inverse potential systems). It is shown
that each point symmetry of a given PDE system systematically yields a nonlocally
related PDE system. Examples include applications to nonlinear reactiondiffusion
equations, nonlinear diffusion equations and nonlinear wave equations.
Moreover, it turns out that from these example PDEs, one can obtain nonlocal
symmetries (including some previously unknown nonlocal symmetries) from
some corresponding constructed inverse potential systems.
In addition, we present new results on the correspondence between two potential
systems arising from two nontrivial and linearly independent conservation
laws (CLs) and the relationships between local symmetries of a PDE system and
those of its potential systems.
We apply the nonclassical method to obtain new exact solutions of the nonlinear
Kompaneets (NLK) equation
ut = x−2 x4  ux + u +
u2x
,
where > 0,  0 and
 > 0 are arbitrary constants. New time-dependent exact
solutions for the NLK equation
ut = x−2 x4  ux +
u2x
,
for arbitrary constants > 0,
 > 0 are obtained. Each of these solutions is
expressed in terms of elementary functions. We also consider the behaviours of
these new solutions for initial conditions of physical interest. More specifically,
three of these families of solutions exhibit quiescent behaviour and the other two
families of solutions exhibit blow-up behaviour in finite time. Consequently, it
turns out that the corresponding nontrivial stationary solutions are unstable.
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Fri 30 Aug 2013, 9:00am SPECIAL
One Time Event
Math 100
Qualifying Exams - Analysis
Math 100
Fri 30 Aug 2013, 9:00am-12:00pm

Details


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Fri 30 Aug 2013, 1:00pm SPECIAL
One Time Event
Math 100
Qualifying Exams - Algebra
Math 100
Fri 30 Aug 2013, 1:00pm-4:00pm

Details


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Fri 30 Aug 2013, 1:00pm SPECIAL
One Time Event
Math 100
Qualifying Exams - Differential Equations
Math 100
Fri 30 Aug 2013, 1:00pm-4:00pm

Details


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