Hello everyone,
 
The next colloquium talk will be held on Monday, 3/1/2011, 12:15, Schreiber
006, Tel Aviv University.
The speaker is
 
    Lior Bary-Soroker (Essen University)
 
and the title of his talk is
 
    Irreducible values of polynomials
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloquiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2010.html>
You are all welcome to suggest colloquium speakers for the second semester.
 
Yours,
Bo'az
 
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Abtsract: Does there exist a polynomial f(X) such that all polynomials f(X),
f(X)+1, f(X)+2, ..., f(X)+285 are irreducible? Clearly the answer depends on
the field the coefficients are taken from.
 
We will discuss the connection of the above question with the twin prime
conjecture. More generally we will explain the general number theoretic
Schinzel hypothesis H and its quantitive version the Bateman-Horn conjecture
and the corresponding analogs over finite fields. In the talk we will focus
on one recent result over *large* finite fields.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Bo'az Klartag   <klartagb@post.tau.ac.il>