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Luke Smith
Wed Apr 17, 2013
4:00 pm
Talk Abstract:
Over finite fields, if the image of a polynomial (a.k.a. the value set) is not the entire field, its cardinality is often quite a bit smaller. Earlier results bound this cardinality using the degree of the polynomial. We improve upon these bounds for multivariable polynomial vectors over a finite field using the polytope of the...
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Bing Wang
Tue Apr 16, 2013
4:00 pm
This is a joint work with Tian. We study the structure of the limit space of a sequence of almost
Einstein manifolds, which are generalizations of Einstein manifolds. Roughly speaking, such manifolds are the
initial manifolds of some normalized Ricci flows whose scalar curvatures are almost constants over space-time in the
$L^1$-sense, Ricci...
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Artur Avila
Tue Apr 16, 2013
2:00 pm
One-Frequency Schrödinger operators give one of the simplest models where fast transport and localization phenomena are possible. From a dynamical perspective, they can be studied in terms of certain one-parameter families of quasi-periodic co-cycles, which are similarly distinguished as simplest classes of dynamical systems compatible with...
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William Yessen
Tue Apr 16, 2013
1:00 pm
As is well known, a class of one-dimensional lattice models, such as Ising models, Jacobi and CMV operators and others, are susceptible to renormalization analysis that can be carried out via the transfer matrix formalism. As a result, models on the one-dimensional lattice of a certain quasi-periodic type (namely, those generated by primitive...
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Alexander Drewitz
Tue Apr 16, 2013
11:00 am
We start with showing how rearrangement inequalities may be used in probabilistic contexts such as e.g. for obtaining bounds on survival probabilities in trapping models. This naturally motivates the need for a new rearrangement inequality which can be interpreted as involving symmetric rearrangements around infinity. After...
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Guang Lin
Mon Apr 15, 2013
4:00 pm
Experience suggests that uncertainties often play an important role in quantifying the performance of complex systems. Therefore, uncertainty needs to be treated as a core element in modeling, simulation and optimization of complex systems. In this talk, a new formulation for analyzing uncertainty sensitivity, quantifying uncertainty and...
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Christoph Weiss
Mon Apr 15, 2013
4:00 pm
We complete our introduction to the principle ISP and its relatives as well as their connections to supercompact cardinals and the proper forcing axiom. As a consequence of our analysis we give a proof that all known forcing constructions of models satisfying PFA require very large cardinals.
