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SUMMARY:Eveliina Peltola (University of Bonn)
DTSTART:20200615T133000Z
DTEND:20200615T140000Z
DTSTAMP:20260423T035757Z
UID:LPDD/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LPDD/12/">Sy
 mmetries and Probabilities in Lattice Models</a>\nby Eveliina Peltola (Uni
 versity of Bonn) as part of Les probabilités de demain webinar\n\n\nAbstr
 act\nIn statistical physics\, one considers random models of large systems
 \, whose individual components cannot be studied separately since there ar
 e so many of them (e.g.\, in 1g of iron there are approximately 10^22 iron
  molecules). Thus\, properties of the system are described in terms of pro
 bability theory. Many interesting models\, such as the so-called Ising mod
 el (describing magnetic material)\, enjoy symmetries that are useful when 
 studying features of the model. In particular\, so-called critical lattice
  models are symmetric with respect to conformal (injective\, holomorphic) 
 transformations in a certain sense. In this talk\, we discuss how to make 
 such a concept mathematically precise and how to understand probabilities 
 of crossing events in such critical models. These questions have led to in
 teresting discoveries in the mathematics community\, such as the celebrate
 d Schramm-Loewner evolution random curves and concepts trying to make sens
 e of quantum field theory rigorously.\n
LOCATION:https://researchseminars.org/talk/LPDD/12/
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