Department of

# Mathematics

Seminar Calendar
for events the day of Friday, January 27, 2006.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    December 2005           January 2006          February 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    1  2  3  4  5  6  7             1  2  3  4
4  5  6  7  8  9 10    8  9 10 11 12 13 14    5  6  7  8  9 10 11
11 12 13 14 15 16 17   15 16 17 18 19 20 21   12 13 14 15 16 17 18
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25 26 27 28 29 30 31   29 30 31               26 27 28



Friday, January 27, 2006

11:00 am in 1215A Beckman Institute,Friday, January 27, 2006

#### Invariant-based Face Recognition

###### Nigel Boston   [email] (U Wisconsic Math/ECE)

Abstract: After a very brief review of recent striking applications of algebra to engineering and computer science, the currently significant problem of face recognition is addressed. We introduce a new approach to obtaining invariants of Lie groups adapted to this problem and describe its success in implementations.

4:00 pm in 141 Altgeld Hall,Friday, January 27, 2006

#### Groups, measures and the NIP: Introduction & Section 2

###### ShiChang Song (UIUC Math)

Abstract: During the first half of the Spring semester we are going to read the paper "Groups, measures and the NIP" by E. Hrushovski, Y. Peterzil and A. Pillay. This week Introduction and Section 2 (Definable functions and measures) will be presented.

4:00 pm in 245 Altgeld Hall,Friday, January 27, 2006

#### Relatively hyperbolic groups and 3-dimensional topology

###### Denis V. Osin (City College of CUNY)

Abstract: The notion of relative hyperbolicity was introduced in group theory by Gromov and has been extensively studied during the last decade. The main aim of my talk is to survey some recent results in this area inspired by 3--dimensional topology. Namely, relatively hyperbolic groups can be used to introduce a group theoretic version of Dehn surgery on 3--dimensional manifolds and to prove an algebraic counterpart of Thurston's hyperbolic Dehn surgery theorem. I will also discuss possible applications of the group theoretic technique to the virtual Hacken conjecture for hyperbolic manifolds and some related problems. Host: P. Schupp