Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, February 14, 2006.

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Tuesday, February 14, 2006

1:00 pm in 241 Altgeld Hall,Tuesday, February 14, 2006

A New Method for Deriving the Prime Number Theorem and Littlewood Oscillations

Genghmun Eng (Aerospace Corporation)

1:00 pm in 345 Altgeld Hall,Tuesday, February 14, 2006

NIP and some consequences

Clifton Ealy (UIUC Math)

Abstract: We continue the discussion of the Hrushovski, Pillay, Peterzil paper, "Groups, Measures, and the NIP", where we left off on Friday, at the beginning of the Section 3.

1:00 pm in 347 Altgeld Hall,Tuesday, February 14, 2006

Almost everywhere convergence of convolution operators in group actions

Joseph Rosenblatt   [email] (UIUC Math)

2:00 pm in 243 Altgeld Hall,Tuesday, February 14, 2006

No meeting this week

3:00 pm in 443 Altgeld Hall,Tuesday, February 14, 2006

Pushing down infinite Loeb measures

David Ross (visiting UIUC from Hawaii 05-06)

Abstract: Sufficient conditions are given under which the standard part map on a locally compact Hausdorff space can be used to push down an infinite nonstandard measure. This makes it easier to construct standard infinite Borel measures using nonstandard techniques.

3:00 pm in 243 Altgeld Hall,Tuesday, February 14, 2006

Petri's Conjecture

Thomas Nevins (UIUC)

Abstract: This will be an expository talk on Petri's conjecture (1924), a statement about the behavior of sections of certain line bundles (equivalently, about divisor classes) on algebraic curves. I will explain what Petri's conjecture says, how to think about what it means, and then give a brief introduction to some of the proofs of it over the last few decades due to, among others, Gieseker, Eisenbud-Harris, Lazarsfeld, and Clemens.

3:00 pm in 241 Altgeld Hall,Tuesday, February 14, 2006

An upper bound on the domination number of n-vertex connected cubic graphs

Burak Y. Stodolsky and Alexandr V. Kostochka (UIUC Math)

Abstract: In 1996, Reed proved that the domination number \gamma(G) of every n-vertex graph G with minimum degree at least 3 is at most 3n/8. This bound is sharp for cubic graphs with no restriction on connectivity. In this talk we show that \gamma(G) <= 4n/11 for every n-vertex cubic connected graph G with n>8. We previously showed that Reed's conjectured bound of \ceil{n/3} does not hold. We also improve the upper bound by Kawarabayashi, Plummer and Saito on the domination number of cubic graphs with large girth.