SEMINAR: Groups and Combinatorics Seminar, Redeipolynomials in finite geometry


Groups and Combinatorics Seminar, Redeipolynomials in finite geometry 
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Abstract:
L. Redei has studied in a detailed way socalled "lacunary" polynomials over finite fields. One of the applications described is to investigate the number of values the difference quotient of a polynomial over a finite field can have. This result has a direct implication in the theory of blocking sets of finite Desarguesian projective planes, and this connection is the start of the use of "Redeipolynomials" in finite geometry. We will discuss some cases to explain the principle of using Redeipolynomials finite projective spaces and some particular generalized quadrangle. Then we discuss a problem on maximal partial ovoids, that has been partially solved using Redeipolynomials, but that can be expressed in terms of transitive subsets of the group SL(2,q).
Speaker(s) 
Jan De Beule (Universiteit Gent)

Location 
Weatherburn Lecture Theatre


Contact 
Irene Pivotto
<[email protected]>

Start 
Fri, 05 Apr 2013 15:00

End 
Fri, 05 Apr 2013 16:00

Submitted by 
Irene Pivotto <[email protected]>

Last Updated 
Wed, 03 Apr 2013 11:50

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