Department of

# Mathematics

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

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2006          February 2006            March 2006
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6  7             1  2  3  4             1  2  3  4
8  9 10 11 12 13 14    5  6  7  8  9 10 11    5  6  7  8  9 10 11
15 16 17 18 19 20 21   12 13 14 15 16 17 18   12 13 14 15 16 17 18
22 23 24 25 26 27 28   19 20 21 22 23 24 25   19 20 21 22 23 24 25
29 30 31               26 27 28               26 27 28 29 30 31



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.