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Sep 2011
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Week1
1
Standing waves for a system of nonlinear Schrodinger equations>Standing waves for a system of nonlinear Schrodinger equations
Travelling wave solutions of the 3-species Lotka-Volterra competition-diffusion system>Travelling wave solutions of the 3-species Lotka-Volterra competition-diffusion system
On a structure of stationary solutions to a nonlinear nonlocal elliptic PDE arising in the Ohmic heating problem>On a structure of stationary solutions to a nonlinear nonlocal elliptic PDE arising in the Ohmic heating problem
On the Navier-Stokes equation with Robin boundary condition>On the Navier-Stokes equation with Robin boundary condition
Ionic Transport with Multi-species Ions: New Poisson-Boltzmann type of equations>Ionic Transport with Multi-species Ions: New Poisson-Boltzmann type of equations
A Generalized Poisson-Nernst-Planck (PNP) system for ion transport>A Generalized Poisson-Nernst-Planck (PNP) system for ion transport
Open problems and discussions (4)>Open problems and discussions (4)
2
3
Week2
4
5
6
Open problems and discussions (5)>Open problems and discussions (5)
7
On Taelman’s analoque of Dirichlet Unit Theorem>On Taelman’s analoque of Dirichlet Unit Theorem
Special Points on Carlitz module>Special Points on Carlitz module
Euler-Poincare Characteristic of finite Drinfeld modules>Euler-Poincare Characteristic of finite Drinfeld modules
8
9
Open problems and discussions (6)>Open problems and discussions (6)
When the Model is No Longer Trustworthy - A Distribution - Free Optimization Approach>When the Model is No Longer Trustworthy - A Distribution - Free Optimization Approach
10
Week3
11
12
13
Open problems and discussions (7)>Open problems and discussions (7)
14
Numerical study of multi-scale sediment dynamics in estuaries and coastal oceans>Numerical study of multi-scale sediment dynamics in estuaries and coastal oceans
15
16
Iterative solutions of large nonsymmetric linear systems: Two attempts to improve Bi-CG>Iterative solutions of large nonsymmetric linear systems: Two attempts to improve Bi-CG
Iwasawa modules and the p-adic zeta function>Iwasawa modules and the p-adic zeta function
Project session>Project session
Mathematical modeling of ion transport>Mathematical modeling of ion transport
Rank One BSD Conjecture after Gross-Zagier and Kolyvagin (1)>Rank One BSD Conjecture after Gross-Zagier and Kolyvagin (1)
Moment Bounds and Multistep Prediction of Linear Processes>Moment Bounds and Multistep Prediction of Linear Processes
17
Week4
18
19
20
21
General k x k isomonodromy systems and multi-cut two-matrix models (1)>General k x k isomonodromy systems and multi-cut two-matrix models (1)
Multi-scale modeling of the atmosphere - Toward unification of the general circulation and cloud-resolving models>Multi-scale modeling of the atmosphere - Toward unification of the general circulation and cloud-resolving models
SYZ and mirror maps for toric semi-Fano manifolds>SYZ and mirror maps for toric semi-Fano manifolds
22
CR embedding and Paneitz operator>CR embedding and Paneitz operator
23
Rank One BSD Conjecture after Gross-Zagier and Kolyvagin (2)>Rank One BSD Conjecture after Gross-Zagier and Kolyvagin (2)
Open problems and discussions (8)>Open problems and discussions (8)
Introduction to Image Science>Introduction to Image Science
24
Week5
25
26
Statement of main result (one divisibility of Iwasawa main conjecture)>Statement of main result (one divisibility of Iwasawa main conjecture)
Open problems and discussions (9)>Open problems and discussions (9)
27
Euler system argument of Bertolini-Darmon>Euler system argument of Bertolini-Darmon
28
Geometry of Shimura curves and raising the level>Geometry of Shimura curves and raising the level
Heegner points on Shimura curves and 1st explicit reciprocity law>Heegner points on Shimura curves and 1st explicit reciprocity law
Continuum modeling of a discrete medium: the case of compartmentalized granular gases>Continuum modeling of a discrete medium: the case of compartmentalized granular gases
29
Ihara's lemma and 2nd explicit reciprocity law>Ihara's lemma and 2nd explicit reciprocity law
The Bergman kernel on singular Riemann surfaces>The Bergman kernel on singular Riemann surfaces
30

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