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SUMMARY:Phase transitions in statistical mechanics - The Ising model and  
 beyond [CRC 1720: Early Career Seminar]
DTSTART:20260623T121500Z
DTEND:20260623T131500Z
DTSTAMP:20260716T203900Z
UID:indico-event-1182@math-events.uni-bonn.de
CONTACT:sfb1720-seminar@uni-bonn.de
DESCRIPTION:Speakers: Max Mihailescu\n\nIn this talk\, we will look at a c
 lass of discrete models from statistical mechanics\, with a focus on phase
  transitions. As a model for ferro-magnetism\, the Ising model has extensi
 vely been studied in the last 90 years. Even with its simple formulation i
 t offers a large range of phenomena. One of its key features is that its b
 ehavior depends strongly on the temperature regime. At high temperatures\,
  typical configurations are disordered\, corresponding to non-magnetized m
 aterials in the real world. In contrast\, at low temperatures\, spins are 
 very strongly correlated over long distances. In the first half of the tal
 k I will review the mathematical framework as well as some classical resul
 ts. The second half will focus on recent work\, where we consider a class 
 of models that are related to the Ising model\, but which do not undergo a
  phase transition. The proof goes by translating observables of the spin s
 ystem to connectivity events in a certain percolation model.\n\nhttps://ma
 th-events.uni-bonn.de/event/1182/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1182/
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