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SUMMARY:Probabilistic methods in group theory [Lecture]
DTSTART:20251111T103000Z
DTEND:20251111T111500Z
DTSTAMP:20260308T034700Z
UID:indico-event-891@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alp Muyesser\n\nMotivated by Euler's work on mutuall
 y orthogonal Latin squares\, the Hall–Paige conjecture from 1955 asserts
  that a finite group admits a bijection φ: G → G such that the map g  
 ↦ gφ(g) is bijective if and only if the product of all group elements i
 s trivial in the abelianization. This conjecture was confirmed in a series
  of papers by Wilcox\, Evans\, and Bray in 2009\, using the classification
  of finite simple groups. We present a strengthening of the Hall–Paige c
 onjecture for large and generic subsets of groups. The resulting statement
  is quite flexible and can be used to settle several long-standing problem
 s in combinatorial group theory. Our proof uses a mixture of probabilistic
  and algebraic methods and has spurred further developments. In this talk\
 , we will give a broad overview of the area. \n\nhttps://math-events.uni-
 bonn.de/event/891/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/891/
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