Probabilistic Galois Theory
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Thu, 28/02 16:00 |
Rainer Dietmann (Royal Holloway University of London) |
Number Theory Seminar  |
L3 |
| Van der Waerden has shown that `almost' all monic integer polynomials of degree n have the full symmetric group S_n as Galois group. The strongest quantitative form of this statement known so far is due to Gallagher, who made use of the Large Sieve. In this talk we want to explain how one can use recent advances on bounding the number of integral points on curves and surfaces instead of the Large Sieve to go beyond Gallagher's result. | |||