All Seminars

Title: Modeling User Interactions in Web Search and Social Media
Seminar: Computer Science
Speaker: Eugene Agichtein of Emory University
Contact: James Lu, jlu@mathcs.emory.edu
Date: 2008-11-07 at 3:00PM
Venue: MSC W201
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Abstract:
Information-centric collaborative sites have emerged as viable sources for many information needs. In particular, the Community Question Answering (CQA) model has evolved as an effective alternative to web search: users post questions and answers, and rate and evaluate each other’s content. As a result, users contribute both content and rich interaction metadata in their roles as askers, answerers, and evaluators. To give a sense of the scale, just one popular site, Yahoo! Answers, has attracted an active participation of millions of users, and has amassed a searchable archive of hundreds of millions of answers to tens of millions of questions. The talk will build on our earlier work on modeling user interactions in web search, and will describe new problems related to mining this user-generated content, including estimating content quality, contributor authority, user intent, and asker satisfaction with the results.
Title: Cliques in sparse hypergraphs
Seminar: N/A
Speaker: Andrzej Dudek of Carnegie Mellon University
Contact: Vojtech Rodl, rodl@mathcs.emory.edu
Date: 2008-10-31 at 4:00PM
Venue: MSC W301
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Title: Combinatorics as Geometry
Colloquium: N16
Speaker: Dr. Fernando Rodriguez Villegas of University of Texas (Austin)
Contact: David Borthwick, davidb@mathcs.emory.edu
Date: 2008-10-30 at 4:00PM
Venue: MSC W301
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Abstract:
We know, thanks to the work of A. Weil, that counting points of varieties over finite fields yields purely topological information about them. For example, an algebraic curve is topologically a certain number g of donuts glued together. The same number g, on the other hand, determines how the number of points it has over a finite field grows as the size of this field increases. This interaction between complex geometry, the continuous, and finite field geometry, the discrete, has been a very fruitful two-way street that allows the transfer of results from one context to the other. In this talk I will first describe how we may count the number of points over finite fields for certain character varieties,parameterizing representations of the fundamental group of a Riemann surface into GL-n. The calculation involves an array of techniques from combinatorics to the representation theory of finite groups of Lie type. I will then discuss the geometric implications of this computation and the conjectures it has led to. This is joint work with T. Hausel and E. Letellier
Title: Crawling the Crawlers: Search Engine Behavior and it's Implications for Website Design and Preservation
Seminar: Computer Science
Speaker: Dr. Joan Smith of Emory University
Contact: Dr. Joan A. Smith, jsmit52@emory.edu
Date: 2008-10-24 at 3:00PM
Venue: MSC W201
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Abstract:
We know how search engines crawl websites: they harvest links from pages and iterate through each to develop an "image" of the world wide web as a whole. During the last decade of search engine growth, websites have attempted to "help" or even to more directly influence the crawlers and the subsequent website ranking. For example, conventional wisdom holds that search engines "prefer" sites that are wide rather than deep, and that having a site index will result in more thorough crawling by the Big Three crawlers: Google, Yahoo, and MSN. But how do crawlers actually behave on websites? Does site design really affect this behavior? We created a series of 10 websites to monitor search engine behavior when crawling with very large websites (wide and deep), as well as their behavior on websites where resources "disappear." We analyzed the logs of each of these sites for over a full year to see if the conventional wisdom holds true. GIF animations of Apache log data are used to illustrate the crawling patterns. We found that each search engine exhibited different behavior and crawl persistence, and that site design does appear to affect this behavior. We plot the progress of the crawlers through the sites, and their behaviors regarding the various file types. A side benefit of search engine activity on a site is the "cached page" which is accessible if the original is unavailable. How long will such pages persist in the cache if the web source page disappears? We examine this issue and the role that the cache and a website's design play in website preservation.
Title: Representing polynomials as products of two values of a quadratic form
Seminar: Algebra
Speaker: Alexander Sivatski of St. Petersburg Electrotechnical University
Contact: R. Parimala, parimala@mathcs.emory.edu
Date: 2008-10-21 at 4:00PM
Venue: MSC W303
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Abstract:
Title: A SQL Database System for Solving Constraints
Seminar: Computer Science
Speaker: Sebastien Siva of Emory University
Contact: James Lu, jlu@mathcs.emory.edu
Date: 2008-10-17 at 3:00PM
Venue: MSC W201
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Abstract:
It has long been recognized that practical contexts for constraint satisfaction problems (CSP) often involve large relational databases (RDB). Early attempts to marry constraint solving systems and relational database systems include deductive and constraint databases that reuse important ideas from logic programming. These techniques required knowledge outside the scope of traditional database users. The recent proposal by Cadoli and Mancini, CONSQL, shows that a simple extension to SQL provides a viable basis for modeling CSP. This opens the possibility for transparently integrating CSP with databases using SQL the most widely known and popular database language. Such an extension brings the power of constraint problem solving to SQL knowledgeable users. Towards that end, the current research describes a case study in the engineering details of designing and implementing such a prototype.
Title: Pretentiousness in Analytic Number Theory
Colloquium: N/A
Speaker: Andrew Granville of Universite de Montreal
Contact: Dwight Duffus, dwight@mathcs.emory.edu
Date: 2008-10-09 at 4:00PM
Venue: MSC W201
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Abstract:
Inspired by the "rough classification" ideas from additive combinatorics, Soundararajan and I have recently introduced the notion of pretentiousness into analytic number theory. Besides giving a more accessible description of the ideas behind the proofs of several well- known difficult results of analytic number theory, it has allowed us to strengthen several results, like the Polya-Vinogradov inequality, the prime number theorem, etc. In this talk we will introduce these ideas and gave some flavour of these developments.
Title: Models of Scientific Communication from Large-Scale Usage Data
Seminar: Computer Science
Speaker: Dr. Johan Bollen of Los Alamos National Lab
Contact: Joan A. Smith, jsmit52@emory.edu
Date: 2008-10-08 at 3:00PM
Venue: MSC W201
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Abstract:
Scientific communication can be modeled on the basis of citation networks in which the flow of ideas is expressed by citations that point from one scientific publication to another. A number of graph-theoretical methods can be brought to bear on such citation networks to determine the status of particular publications and infer general properties of the scientific communication process. However, as scientific activity increasingly moves online, it becomes possible to study scientific relationships and processes from online usage patterns. In this colloquium I will present two applications of the analysis of large-scale usage data logs now commonly collected by scholarly web portals, namely modeling and mapping of the structure of scientific activity, and determining the components of scientific impact.
Title: From the Circle method to the Circular Law
Colloquium: Number Theory
Speaker: Van Vu of Rutgers University
Contact: Vojtech Rodl, rodl@mathcs.emory.edu
Date: 2008-10-02 at 4:00PM
Venue: MSC W201
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Abstract:
A starting point of the theory of random matrices is Wigner's semi-circle law obtained in the 1950s, which asserts that (after a proper normalization) the limiting distribution of the spectra of a random hermitian matrix with iid (upper diagonal) entries follows the semi-circle law. The non-hermitian case is the famous Circular Law Conjecture, which asserts that (after a proper normalization) the limiting distribution of the spectra of a random matrix with iid entries is uniform in the unit circle. Despite several important partial results (Ginibre-Mehta, Girko, Bai, Edelman, Gotze-Tykhomirov, Pan-Zhu etc) the conjecture remained open for more than 50 years. This summer, T. Tao and I confirmed the conjecture in full generality. I am going to give an overview of this proof, which relies on rather surprising connections between various fields: combinatorics, probability, number theory and theoretical computer science. In particular, tools from additive combinatorics and Hardy-Littlewood circle method from analytic number theory play crucial roles.
Title: The Algebraists and the Analysts Should be Friends
Graduate Student Seminar: Algebra
Speaker: Victoria Powers of Emory University
Contact: Victoria Powers, vicki@mathcs.emory.edu
Date: 2008-10-01 at 4:00PM
Venue: MSC W303
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Abstract:
In the last 15 years or so connections between questions in real algebraic geometry and functional analysis were discovered and exploited. By working together, algebraists and analysts were able to make progress on important problems in both areas. In this talk we discuss connections between a topic from algebra -- the representation of positive polynomials -- and two problems from analysis -- the classical moment problem and the Bessis-Moussa-Villani conjecture from quantum physics. The talk will be accessible to anyone who knows what polynomials, matrices, and integration are.