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From November 15, 2009 to November 21, 2009
PDE and Image Analysis Seminar
Speaker: Benoit Pausader (Brown)
Time: Monday, November 16, 2009 at 3:00 pm
Place: MSB 319 (UConn - Storrs)
Abstract: We consider the fourth-order wave equation utt+Δ2u+mu+|u|p-1u=0 and we prove that finite energy leads to solution which scatter in the subcritical case 1+8/n < p <1+8/(n-4) when n ≥ 2. For high dimensions, we use a Double-Duhamel formula and a Morawetz-type inequality due to Levandosky and Strauss. For low dimensions, we use concentration-compactness type arguments and a virial-type identity to exclude traveling waves.
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PDE and Image Analysis Seminar
Speaker: Mahir Hadzic (Brown)
Time: Monday, November 16, 2009 at 4:00 pm
Place: MSB 118 (UConn - Storrs)
Abstract: Stefan problem with surface tension is one of the best-known
parabolic free boundary problems, describing phase transitions.
Using a high-order energy method, we first prove the nonlinear stability
of flat stationary surfaces. On the other hand, stationary spheres may
be unstable and we then provide a full characterization of
nonlinear stability/instability of steady spheres.
Comments: In case of scheduling problems, the alternate room will be TLS 301.
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Logic Seminar
Speaker: Lynn Scow (UC Berkeley)
Time: Monday, November 16, 2009 at 5:05 pm
Place: Exley Science Center 618 (Wesleyan)
Abstract: In the 1970s, S. Shelah gave the following characterization of stable theories: a theory is stable if and only if any indiscernible sequence in a model of the theory is an indiscernible set. I will present a similar characterization of NIP theories, as theories in qwhich any random ordered graph-indiscernible in a model of the theory remains indiscernible strictly with respect to the order. In this talk I will explain what I mean by a random ordered graph-indiscernible and I will indicate how the result is proved using the Nesetril-Rodl theorem. If time permits, I will discuss an additional example of a characterization of stable theories by generalized indiscernibles that generalizes more faithfully on Shelah's.
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Algebra Seminar
Speaker: Martin Nikolov (University of Connecticut)
Time: Tuesday, November 17, 2009 at 4:00 pm
Place: MSB 118 (UConn - Storrs)
Abstract: The tame subgroup of the Iwahori subgroup and the tame Hecke
algebra will be introduced. I will talk about the presentation of this
algebra by means of generators and relations. This has applications
concerning irreducible admissible representations of unramified reductive
p-adic groups, which have a nonzero vector fixed by the tame subgroup.
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Colloquium
Speaker: Lesley Ward (University of South Australia)
Time: Wednesday, November 18, 2009 at 3:00 pm
Place: IMS 20 (UConn - Storrs)
Abstract: We often want to search the web for information on a given topic. Early web-search algorithms worked by counting up the number of times the words in a query topic appeared on each webpage. If the topic words appeared often on a given page, that page was ranked highly as a source of information on that topic. More recent algorithms rely on Link Analysis. People make judgments about how useful a given page is for a given topic, and they express these judgments through the hyperlinks they choose to put on their own webpages. Link-analysis algorithms aim to mine the collective wisdom encoded in the resulting network of links. I will discuss the linear algebra that forms the common underpinning of three link-analysis algorithms for web search. I will also present some work on refining one such algorithm, Kleinberg's HITS algorithm. This is joint work with Joel Miller, Greg Rae, Fred Schaefer, Ayman Farahat, Tom LoFaro, Tracy Powell, Estelle Basor, and Kent Morrison. It originated in a Mathematics Clinic project at Harvey Mudd College.
Comments: Note the room!
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Colloquium
Speaker: Keith Conrad (University of Connecticut)
Time: Wednesday, November 18, 2009 at 4:00 pm
Place: IMS 20 (UConn - Storrs)
Abstract: In November 1859, an 8-page paper by Riemann was published which described the distribution of primes
using complex analysis. In this paper Riemann stated what has become arguably the most important
unsolved problem in mathematics: the Riemann hypothesis. In this talk, marking the 150th anniversary
of Riemann's paper, I will explain what the Riemann hypothesis is and why it is considered so important.
Comments: Note the room!
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UConn Math Club
Speaker: Li-Mei Lim (Brown)
Time: Wednesday, November 18, 2009 at 5:30 pm
Place: MSB 319 (UConn - Storrs)
Abstract: Bernoulli numbers are certain rational numbers that come up in several interesting and classical problems. In this talk, we'll define the Bernoulli numbers, and explore their connection to the sums 1k+2k+...+(n-1)k, to the mysterious and wonderful Riemann Zeta function, and (time permitting) to the deeply complex Fermat's Last Theorem.
Comments: Free Refreshments
Additional Comments: Email: uconnmathclub@gmail.com Facebook group: UConn Math Club
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Colloquium
Speaker: Wai Kiu Chan (Wesleyan University)
Faculty Sponsor: Lee
Time: Thursday, November 19, 2009 at 4:00 pm
Place: Mathematical Science Building MSB 118 (UConn - Storrs)
Abstract: An integral quadratic form is called regular if it represents all integers which cannot be ruled out by congruence considerations. Examples are the sum of four squares and
other universal quadratic forms. The goal of this talk is to describe some of the recent advances in the study of regular quadratic forms and generalizations, with emphasis on various finiteness results.
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