Weyman's Theorem, ctd.

Homogeneous Linkage and Pure Resolutions

Cryptography using Elliptic Curves

The Mathematics of Cloaking
Abstract: We describe recent theoretical and experimental progress on making objects invisible to detection by electromagnetic waves, acoustic waves and quantum waves. Maxwell's equations have transformation laws that allow for design of electromagnetic materials that steer light around a hidden region, returning it to its original path on the far side. Not only would observers be unaware of the contents of the hidden region, they would not even be aware that something was being hidden. The object, which would have no shadow, is said to be cloaked. We recount some of the history of the subject and discuss some of the mathematical issues involved, in particular the use of singular transformations. Refreshments will be served at 4:00pm in the Math Library Lounge.

Some Questions Concerning Interface Propagation in Inhomogeneous and Random Media
Abstract: We will present some results for the interfacial propagation in inhomogeneous medium. The prototype equation is motion by mean curvature. The key feature in the present context is the interaction between the mean curvature of the interface and the underlying spatialinhomogeneity. We will describe the transition between the pinning and de-pinning phenomena of the interface. Some simplified models motivated by the above, but involving random environment will also be discussed.

COMMUTATOR OF COMPOSITION OPERATORS ONTHE HARDY SPACE

Lascoux Resolution

Refreshments will be served in the Math Library Lounge at 4:00 p.m.

Technology, Analysis, and Goals in the Ionomics of Arabidopsis(Part 2 of 3 lecture series)Ionomic QTL analysis in Arabidopsis thalianaMuch effort has been made in recent years by biologists, computer scientists, statisticians and others in the study the plant model organism Arabidopsis thaliana. One such mechanism for studying complex processes in Arabidopsis thaliana is the study of its uptake of mineral nutrient levels, such as calcium, sodium, potassium and sulfur. The study of an organism's mineral nutrient levels is the study of its ionome. Finding genetic determinants of complex traits, such as ionomic traits, can be done by performing QTL mapping, a common statistical method used to locate chromosomal regions associated with the trait of interest. In this talk I will provide a general overview of QTL mapping, with particular emphasis on its application to ionomic data on a population of 411 Recombinant Inbred Lines (RIL) from a cross between the accessions Bay-0 and Shahdara collected by Dr. David E. Salt's lab at Purdue University. Recommended Reading: Artak Ghandilyan, et al. A strong effect of growth medium and organ type on the identification of QTLs for phytate and mineral concentrations in three Arabidopsis thaliana RIL populations. Journal of Experimental Botany. 2009, Vol. 60, No. 5, p. 1409-1425. Click here for a full schedule of BIOINFORMATICS SEMINARS, past and present.

The Best Bound for the Area-Length Ratio in Ahlfors Covering Surface Theory
Abstract: Let f be meromorphic in the disk $D=\{|z|

Algebra and Combinatorics of Symbolic Powers of Diagonal Ideals

Statistics in Environmental and Atmospheric SciencesStatistical methods have been widely used in environmental and atmposheric science problems. I will talk about four such examples as below.Calibrating NexRad data using rain gauge dataClimate regionalization by clustering the temperature time seriesPaleoclimate Reconstruction using Bayesian hierarchical modelsAttenuation effect of measurement error in temperature reconstruction

Rational Homotopy Theory and Homotopy Theory of DGAs

Introduction to the Sato-Tate Conjecture (Part II)

Periodicity and Duality
Abstract: Let K be a connected finite complex. I will consider the problem of whether one can attach a cell to some iterated suspension S^j K so that the resulting space satisfies Poincare duality. When this happens, we say that S^j K is a spine. I will give criteria for deciding when this is possible. I'll also explain how this leads to a new interpretation of the four-fold periodicity in the surgery obstruction groups.

Multi-Task Learning and Matrix RegularizationMulti-task learning extends the standard paradigm of supervised learning. In multi-task learning, samples for multiple related tasks are given and the goal is to learn a function for each task and also to generalize well (transfer learned knowledge) on new tasks. The applications of this paradigm are numerous and range from computer vision to collaborative filtering to matrix completion to bioinformatics, while it also relates to vector valued problems, multiclass, multiview learning etc. I will present a framework for multi-task learning which is based on learning a common kernel for all tasks. I will also show how this formulation connects to the trace norm and group Lasso approaches. Moreover, the proposed optimization problem can be solved using an alternating minimization algorithm which is simple and efficient. It can also be "kernelized" and I will present a necessary and sufficient condition for such a kernelization (as well as for the classical representer theorem).Refreshments will be served at 4:00 PM in HAAS 111.

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Technology, Analysis, and Goals in the Ionomics of Arabidopsis(Part 3 of 3 lecture series)TBA

Accurate asset price modeling and related statistical problems under microstructure noise

Refreshments will be served at 4:00 PM in HAAS 111.

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Refreshments will be served in the Math Library Lounge at 4:00 p.m.

Refreshments will be served in the Math Library Lounge at 4:00 p.m.

Refreshments will be served in the Math Library Lounge at 4:00 p.m.

TBA

TBA

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