Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, February 3, 2005.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2005          February 2005            March 2005
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1          1  2  3  4  5          1  2  3  4  5
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Thursday, February 3, 2005

12:00 pm in 464 Loomis,Thursday, February 3, 2005

#### M-theory and topology

###### Hisham Sati (U. Adelaide, Math)

1:00 pm in 241 Altgeld Hall,Thursday, February 3, 2005

#### he Dirichlet series for the reciprocal of the Riemann zeta function

###### Paul Bateman (UIUC)

Abstract: We consider the behavior of the partial sums of the series $\sum \mu(n)n^{-s}$ for real values of s greater than 1. The talk is related to my recent problem in the American Mathematical Monthly, which deals with some simple cases.

1:00 pm in 347 Altgeld Hall,Thursday, February 3, 2005

#### On Bergman's questions, Rourke's extension of group presentations and a version of the Andrews-Curtis conjecture

###### Sergei Ivanov (UIUC Math)

Abstract: First we finish last week's discussion of positive laws in groups and solution of Bergman's questions on laws in groups of fractions. Then Rourke's extension of group presentations and a version of the Andrews-Curtis conjecture will be discussed.

3:00 pm in 243 Altgeld Hall,Thursday, February 3, 2005

#### Tight Closure and Its Applications (I)

###### Jinjia Li   [email] (UIUC Math)

Abstract: This is the first one of a series of talks focusing on working through Hochster and Huneke's paper "Tight Closure, Invariant Theory, and Briancon-Skoda Theorem". In this talk, we will introduce some basic definitions and properties regarding tight closure followed by proving that a regular ring of characteristic p is F-regular.