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MAY 2008 |
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| Analysis Seminar ***Please note special date and time and location |
| Topic: |
Euler equations with physical vacuum singularity |
| Presenter: |
Juhi Jang, IAS |
| Date: |
Wednesday, May 7, 2008, Time: 2:00 p.m., Location: Fine 314 |
| Abstract: |
In this talk I will present a recent result on the local existence theory of one-dimensional compressible Euler equations with physical vacuum singularity. This is a joint work with N. Masmoudi. |
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| Ergodic Theory and Statistical Mechanics Seminar ***Please note special date |
| Topic: |
Nonconvergence examples in averaging |
| Presenter: |
Yuri Kifer, Hebrew University |
| Date: |
Wednesday, May 7, 2008, Time: 2:00 p.m., Location: Fine Hall 401 |
| Abstract: |
See http://www.math.princeton.edu/~seminar/2007-08-sem/Kifer2008.pdf |
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| Princeton University/Institute for Advanced Study Joint Number Theory Seminar |
| Topic: |
The Divisor Matrix, Dirichlet Series and SL(2,Z) |
| Presenter: |
P. Sin, University of Florida |
| Date: |
Thursday, May 8, 2008, Time: 4:30 p.m., Location: IAS SH-101 |
| Abstract: |
The divisor matrix is indexed by the natural numbers with (i,j) entry equal to one if i divides j and 0 otherwise. The convolution of a Dirichlet series with the Riemann zeta function corresponds to multiplication of the sequence of coefficients by the divisor matrix. In this talk, we consider groups which contain the divisor matrix and preserve the space of convergent Dirichlet series. A reduction step is to show that the divisor matrix can be brought to a Jordan normal form by transition matrices which preserve the above space. We then construct an representation of SL(2,Z) on the space of convergent Dirichlet series in which the standard unipotent element is represented by the divisor matrix. Finally, we discuss the relation between the zeta function and the Dirichlet series arising from other elements of SL(2,Z) in this representation. Joint work with John G. Thompson. |
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| Operations Research and Financial Engineering Colloquium |
| Topic: |
Competition, Human Capital, and Growth: a MFG stylized model |
| Presenter: |
Jean Michel Lasry, University Paris Dauphine |
| Date: |
Thursday, May 8, 2008, Time: 4:30 p.m., Location: E-219, E-Quad |
| Abstract: |
See http://orfe.princeton.edu/lasry-abstract.pdf |
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| Operations Research and Financial Engineering Colloquium |
| Topic: |
TBA |
| Presenter: |
Paulo Silva, University of Sao Paulo |
| Date: |
Thursday, May 15, 2008, Time: 4:30 p.m., Location: E-219, E-Quad |
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