[Settfa] Tuesday 23/11, Pawel Gladki

[kubis at math.cas.cz]

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 Tuesday 23rd November, 10:00am 
 
  Place: IM in konírna 

 
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 Speaker:Pawel Gladki, University of Silesia in Katowice, Poland
 Title: On the categories of superpowersets and superpowergroups

 Abstract  

 
 In this talk we shall introduce the notion of superpowersets and superpowergroups, which are objects that provide a new approach to studying powersets of groups, as well as hypergroups (that is group-like objects with multivalued binary operation) and some fuzzy algebras. As an application, we shall show how the classical quadratic form theory over fields can be axiomatized using these tools, and how some rather difficult to phrase questions such as the question of Witt equivalence of fields, can be easily stated in the language of superpowergroups.
 


 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .