All Seminars
| Title: A conjecture of Colliot-Thelene and u-invariant. |
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| Seminar: Algebra and Number Theory |
| Speaker: Suresh Venapally of Emory University |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2012-09-12 at 3:00PM |
| Venue: W306 |
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| Abstract: Assuming a conjecture of Colliot-Thelene on the existence of rational points on some class of varieties over number fields, we show that the $u$-invariant of the function field of a curve over a number field is finite. |
| Title: Graphs, Integers and Communication |
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| Colloquium: Combinatorics |
| Speaker: Noga Alon of Tel Aviv University |
| Contact: Dwight Duffus, dwight@mathcs.emory.edu |
| Date: 2012-09-07 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: Graph theoretic tools are helpful in the study of problems in Combinatorial Number Theory and Information Theory. I will illustrate this fact by a recent example obtained jointly with Sudakov and Moitra, where constructions of dense graphs consisting of pairwise edge disjoint unions of large induced matchings are given and used to study several seemingly unrelated problems. |
| Title: Hidden Smoothness of Varieties |
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| Seminar: Algebra and Number Theory |
| Speaker: Matt Satriano of University of Michigan |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2012-09-05 at 3:00PM |
| Venue: W306 |
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| Abstract: (No prior knowledge of stacks will be assumed for this talk.) From many perspectives, varieties with quotient singularities behave as if they were smooth. One way to explain this phenomenon is that such varieties are the underlying spaces of smooth stacks. We discuss generalizations of this fact and obtain purely scheme-theoretic applications to invariant theory, Hodge theory, and birational geometry. |
| Title: Quantum modular forms and unimodal sequences |
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| Seminar: Algebra |
| Speaker: Ken Ono of Emory University |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2012-08-29 at 3:00PM |
| Venue: W306 |
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| Abstract: |
| Title: Asymptotics of Resonances for Radial Potential Scattering in Hyperbolic Space |
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| Defense: Dissertation |
| Speaker: Catherine Crompton of Emory University |
| Contact: Catherine Crompton, lcrompt@emory.edu |
| Date: 2012-06-14 at 1:00PM |
| Venue: W306 |
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| Abstract: It is shown that for scattering by a spherically symmetric potential with compact support in $\mathbb{H}^{n+1}$, the resonance counting function $N(r)$ is asymptotic to $Cr^{n+1}$. $C$ is found explicitly, and is shown to depend only on the dimension and the radius of support of the potential. |
| Title: Leibniz, Nilakantha, Euler and Pi |
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| Seminar: Algebra and Number Theory |
| Speaker: Manuel Ojanguren of EPFL |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2012-05-08 at 3:00PM |
| Venue: W304 |
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| Abstract: This elementary talk will discuss some historical and mathematical aspects of different series involving $\pi$ that were discovered between 1400 and 1995. |
| Title: Searching for social meanings in social media |
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| Seminar: Computer Science |
| Speaker: Jacob Eisenstein of Georgia Institute of Technology |
| Contact: Eugene Agichtein, eugene@mathcs.emory.edu |
| Date: 2012-05-04 at 3:00PM |
| Venue: MSC W201 |
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| Abstract: Social interaction is increasingly conducted through online platforms such as Facebook and Twitter, leaving a recorded trace of millions of individual interactions. While some have focused on the supposed deficiencies of social media with respect to more traditional communication channels, language in social media features the same rich connections with personal and group identity, style, and social context. However, social media's unique set of linguistic affordances causes social meanings to be expressed in new and perhaps surprising ways. This talk will describe research that builds on large-scale social media corpora using analytic tools from statistical machine learning. I will focus on some of the ways in which social media data allow us to go beyond traditional sociolinguistic methods, but I will also discuss lessons from the sociolinguistics literature for the new generation of "big data" research. This research includes collaborations with David Bamman, Brendan O'Connor, Tyler Schnoebelen, Noah A. Smith, and Eric P. Xing. |
| Title: A Subconvexity Bound for Rankin-Selberg L-functions in the Level Aspect |
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| Seminar: Algebra |
| Speaker: Riad Masri of Texas A\&M University |
| Contact: Zachary A. Kent, kent@mathcs.emory.edu |
| Date: 2012-05-01 at 3:00PM |
| Venue: W304 |
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| Abstract: We will discuss the subconvexity problem for Rankin-Selberg L-functions in the level aspect in the case both forms are allowed to vary. We will show how to establish a bound of this type for a certain natural family of L-functions. This is joint work with Sheng-Chi Liu. |
| Title: Capturing Butterfly Effects |
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| Lecture: Annual Evans/Hall Lecture Series |
| Speaker: Dr. Sarah Day of College of William and Mary |
| Contact: Erin Nagle, erin@mathcs.emory.edu |
| Date: 2012-05-01 at 4:00PM |
| Venue: MSC E208 |
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| Abstract: The Butterfly Effect, also known as sensitive dependence on initial conditions, is one of the defining properties of chaotic systems. Lorenz famously found evidence of this effect in his numerical simulations of a simplified weather model, now known as the Lorenz system. Since then, researchers have grappled with how to use dramatic increases in computing power to study the dynamics of systems known to misbehave, sometimes in very dramatic ways. I will discuss recent work in developing a computational approach for measuring the Butterfly Effect and other types of dynamics. This approach uses tools from many subfields of mathematical research and, when successful, produces mathematically rigorous results. As illustration, I will show computer-assisted proofs for a few model systems and discuss how this approach ties into, or sometimes challenges, prior theoretical work in the rapidly growing and evolving field of dynamical systems research. |
| Title: Dynamic coloring and list dynamic coloring of planar graphs |
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| Seminar: Combinatorics |
| Speaker: Sang June Lee of Emory University |
| Contact: Dwight Duffus, dwight@mathcs.emory.edu |
| Date: 2012-04-27 at 4:00PM |
| Venue: W306 |
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| Abstract: |