All Seminars
| Title: E8's publicity photo and a cobalt niobate magnet |
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| Seminar: Algebra and number theory |
| Speaker: Skip Garibaldi of Emory University |
| Contact: Skip Garibaldi, skip@mathcs.emory.edu |
| Date: 2010-10-07 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: The first goal of this talk is to answer the question: "What is E8?" The second goal is to explain the relationship between 'the' Lie group E8, its publicity photo, and a recent experiment involving a cobalt niobate magnet reported in Science. |
| Title: Galois theory of iterated endomorphisms |
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| Seminar: Algebra and Number Theory |
| Speaker: Jeremy Rouse of Wake Forest |
| Contact: Ken Ono, ono@mathcs.emory.edu |
| Date: 2010-10-05 at 3:00PM |
| Venue: MSC E408 |
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| Abstract: The basic question we study is the following. Given an abelian algebraic group $A$ defined over $\mathbf{Q}$, a point $\alpha$ in $A(\mathbf{Q})$, and a prime $\ell$, what fraction of primes $p$ have the property that the reduced point $\alpha$ in $A(\mathbf{F}_p)$ has order coprime to $\ell$? Associated with the choice $\alpha$ and $\ell$ is an arboreal Galois representation. We give surjectivity criteria for this representation and use these to answer the question above in many examples where $A$ is an algebraic torus or an elliptic curve. |
| Title: Quermassintegrals inequalities and curvature measure problem |
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| Seminar: Analysis and Differential Geometry |
| Speaker: Professor Junfang Li of University of Alabama at Birmingham |
| Contact: Vladimir Oliker, oliker@mathcs.emory.edu |
| Date: 2010-10-05 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: We will present some recent joint work on two different but related problems : quermassintegral inequalities and prescribing curvature measure problem. We use a parabolic fully nonlinear partial differential equation to prove isoperimetric inequalities for quermassintegrals on a starshaped bounded domain. On the other hand, curvature measure can be viewed as a local version of the quermassintegrals. The general k-th prescribing curvature measure problem is equivalent to a second order fully nonlinear elliptic partial differential equation defined on a unit sphere. It has been an open problem for the existence of an admissible solution of this equation. The major new contribution of our recent work is the a priori $C2$ estimates for admissible solutions which leads to the existence theorems. |
| Title: Healthcare Information Technology: Opportunities for Computer Scientists to Make a Real Difference |
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| Colloquium: Computer Science |
| Speaker: Lucila Ohno-Machado of University of California, San Diego |
| Contact: Li Xiong, lxiong@mathcs.emory.edu |
| Date: 2010-10-01 at 1:00PM |
| Venue: W306 |
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| Abstract: Healthcare has lagged behind other industries in the utilization of information technology. Some reasons for this gap are related to the complex nature of physician-patient interactions, lack of systems that can seamlessly be embedded in clinical workflows, and limited collaboration and communication that cross the boundaries between medicine, computer science, and engineering. Changes in the healthcare landscape in the U.S. provide a unique opportunity to develop new ideas for integrating information technology into healthcare. Reducing costs and providing healthcare for all requires the development of more efficient systems of care, in which not only public health indicators and institutional expenditures are monitored, but also objective quality of care measures and individual patient outcomes. High resolution monitoring cannot be achieved without computer-based systems that are able to integrate data from clinical encounters, billing systems, and research studies for meaningful data analysis, pattern recognition, and high fidelity simulations. There are a variety of areas in which computer scientists can partner with clinicians and other decision makers, but the development of such partnerships requires a systematic approach. In biomedical informatics training programs, the goal is to provide training in a complementary area for individuals with computer science or health sciences backgrounds, and to train the next generation of researchers. While this covers important ground, more needs to be done. There is currently limited work in the area of training the existing generation of computer scientists and clinician leaders on how to work together to approach current healthcare challenges in a novel way. I will present a model for crossing disciplinary and geographical barriers in order to promote health and alleviate the burden of disease, and present several examples in which this could be done today. Biography: Lucila Ohno-Machado, MD, PhD, is Professor of Medicine and founding chief of the Division of Biomedical Informatics at the University of California San Diego. She received her medical degree from the University of Sao Paulo and her doctoral degree in Medical Information Sciences and Computer Science from Stanford University. Prior to her current role, she was director of the training program for the Harvard-MIT-Tufts-Boston University consortium in Boston, and director of the Decision Systems Group at Brigham and Women’s Hospital, Harvard Medical School. Her research focuses on the development of new evaluation methods for predictive models of disease, with special emphasis on the analysis of model calibration and implications in healthcare. She is an elected member of the American College of Medical Informatics and the American Institute for Medical and Biological Engineering, and associate editor for the Journal of the American Medical Informatics Association and the Journal for Biomedical Informatics. She has lectured in Asia, Europe, Africa, and South America and is currently director of the Biomedical Research Informatics Global Health program funded by the NIH. At UCSD, she leads a multidisciplinary group of faculty, trainees, and staff whose research ranges from foundations of biomedical informatics to applications in healthcare. The former includes the development of new algorithms to analyze genomic and clinical data and to prevent disclosures that can compromise patient privacy, and the latter includes applications of pattern recognition algorithms to prognosticate disease using large repositories of data. |
| Title: On randomizing two derandomized greedy algorithms |
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| Seminar: Combinatorics |
| Speaker: Kevin Costello of The Georgia Institute of Technology |
| Contact: Dwight Duffus, dwight@mathcs.emory.edu |
| Date: 2010-10-01 at 4:00PM |
| Venue: W306 |
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| Abstract: Many of the simplest and easiest implemented approximation algorithms can be thought of as derandomizations of the naive random algorithm. Here we consider the question of whether performing the algorithm on a random reordering of the variables provides an improvement in the worst case expected performance.\\ \\ (1) For Johnson's algorithm for Maximum Satisfiability, this indeed turns out to be the case: While in the worst case Johnson's algorithm only provides a 2/3 approximation, the additional randomization step guarantees a 2/3+c approximation for some positive c.\\ \\ (2) For the greedy algorithm for MAX-CUT, it turns out that the randomized version does NOT provide a 1/2+c approximation for any c on general graphs. This is in contrast to a result of Mathieu and Sc hudy showing it provides a 1-epsilon approximation on dense graphs.\\ \\ Joint with Asaf Shapira and Prasad Tetali. |
| Title: Algebraic aspects of statistical field theory |
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| Seminar: Algebra and number theory |
| Speaker: David Borthwick of Emory University |
| Contact: Skip Garibaldi, skip@mathcs.emory.edu |
| Date: 2010-09-28 at 3:00PM |
| Venue: MSC E408 |
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| Abstract: We'll give an introduction to the role that representation theory plays in the construction of models for phase transitions in physics. In particular, we'll introduce the Virasoro algebra and the "minimal models'' which are essentially its simplest unitary representations. We'll also consider some related models based on Lie algebras. The talk will mainly focus on the algebra of these models, but we'll try to explain how certain aspects of the constructions have significance in the physical theories. |
| Title: Conformal invariants of Jordan domains |
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| Seminar: Analysis and Differential Geometry |
| Speaker: Professor Shanshuang Yang of Emory University |
| Contact: Vladimir Oliker, oliker@mathcs.emory.edu |
| Date: 2010-09-21 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: Several conformal invariants will be introduced for Jordan domains in connection with the theory of quasiconformal mappings. These invariants (including reflection constant and quasi-circle constant) capture certain geometric feature of Jordan domains. We will discuss how they are related and how to estimate the values of these constants for certain domains such as ellipses and rectangles. |
| Title: Regular subgraphs of 3-uniform hypergraphs |
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| Seminar: Combinatorics |
| Speaker: Domingos Dellamonica of Emory University |
| Contact: Dwight Duffus, dwight@mathcs.emory.edu |
| Date: 2010-09-17 at 4:00PM |
| Venue: W306 |
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| Abstract: Every graph on n vertices with at least n edges necessarily contains a 2-regular subgraph (a cycle). It is much more difficult to determine how many edges are necessary for a graph to contain a k-regular subgraph and the best known bounds so far are due to Pyber, Rödl and Szemerédi. In this talk I will present our recent attempt to answer these type of questions in the setting of 3-uniform hypergraphs.\\ \\ (This research was partially done at the Banff workshop 2010 in collaboration with P. Haxell, T. Luczak, D. Mubayi, B. Nagle, Y. Person, V. Rödl, M. Schacht, J. Verstraete) |
| Title: Conformal field theory models for phase transitions |
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| Seminar: Special topics |
| Speaker: David Borthwick of Emory University |
| Contact: David Borthwick, davidb@mathcs.emory.edu |
| Date: 2010-09-16 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: We will attempt to explain how quantum field theory describes the continuum limit of discrete statistical models. (As in the previous talk, our focus will be on simple Ising models.) At phase transitions the divergence of the correlation length translates to local conformal invariance in the corresponding quantum field theory. The goal is to explain how a particular field theory model applies to the phase transition in the cobalt niobate experiment. |
| Title: EUMMA Event - Career Counseling |
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| Seminar: N/A |
| Speaker: Dr. Paul Fowler of Emory University |
| Contact: Jodi-Ann Wray, jcwray@emory.edu |
| Date: 2010-09-15 at 6:00PM |
| Venue: B. Jones building |
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| Abstract: |