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Jun Zhang
Tue Apr 23, 2013
2:00 pm
We first briefly review Dwork's trace formula and Wan's decomposition theorems. As an application, we consider a family of Laurent polynomials which is a generalization of the Laurent polynomials appeared in Iwaniec's work, and determine $p$-adic valuations for all the roots of the $L$-functions associated to an Zariski open dense...
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William Yessen
Tue Apr 23, 2013
1:00 pm
In the first talk we discussed some models that can be attacked via the trace map as well as some model-independent result. In this talk we shall apply our model-independent results to some specific models (Jacobi operators, CMV matrices, quantum and classical Ising models) and derive answers to questions that until quite recently were open. We...
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Jiaping Wang
Tue Apr 23, 2013
12:00 pm
After quickly explaining my mathematical research, I will mention my current involvement in the Institute for Mathematics and its Applications and reminisce on my graduate study experience at UCI.
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Hao Gao
Mon Apr 22, 2013
4:00 pm
This talk will attempt to address the following two questions:
(Q1) "Better" Imaging: provided with the same CT sinogram, can we develop new reconstruction method to further improve the state-of-art image quality?
(Q2) "Faster" Imaging: under the similar image quality standard, can we fully explore the new method for faster...
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Trevor Wilson
Mon Apr 22, 2013
4:00 pm
Under the Axiom of Determinacy, the least uncountable cardinal omega_1 behaves like a large cardinal. We will present a theorem due to Woodin saying that from a strong form of determinacy, namely AD_R + "Theta is regular," one can force the Axiom of Choice together with the statement "there is an omega_1-dense ideal on omega_1....
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Jack Xin
Fri Apr 19, 2013
4:00 pm
De-mixing problems in spectroscopic imaging often require finding sparse non-negative linear combinations of library functions to match observed data. Due to misalignment and uncertainty in data measurement, the known library functions may not represent the data as well as their proper deformations. To improve data adaptivity, we expand the...
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Artur Avila
Thu Apr 18, 2013
4:00 pm
We consider the behavior of trajectories for the billiard on a regular polygon. In three special cases which give rise to lattice tilings of the plane (the triangle, the square and the hexagon), the behavior of trajectories is very simple to analyze: they are either periodic or quasiperiodic. Can quasiperiodicity be found in the other...
