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SUMMARY:Lior Bary-Soroker (School of Mathematical Sciences of Tel Aviv Uni
 versity)
DTSTART:20201217T130000Z
DTEND:20201217T140000Z
DTSTAMP:20260423T041111Z
UID:AGNTISTA/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/21/
 ">Random Polynomials\, Probabilistic Galois Theory\, and Finite Field Arit
 hmetic</a>\nby Lior Bary-Soroker (School of Mathematical Sciences of Tel A
 viv University) as part of Algebraic Geometry and Number Theory seminar - 
 ISTA\n\n\nAbstract\nWe will discuss recent advances on the following two q
 uestion: Let A(X) =Σ ±Xi be a random polynomial of degree n with coeffic
 ients taking the values -1\, 1 independently each with probability 1/2.\nQ
 1: What is the probability that A is irreducible as the degree goes to inf
 inity\nQ2: What is the typical Galois of A?\nOne believes that the answers
  are YES and THE FULL SYMMETRIC GROUP\, respectively. These questions were
  studied extensively in recent years\, and we will survey the tools develo
 ped to attack these problems and partial results.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/21/
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