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DTSTAMP:20251008T172038Z
DESCRIPTION:TITLE / TITRE\n\nClassification using sets of sets of reals as 
 invariants\n	\n	ABSTRACT / RÉSUMÉ\n\nThe theory of Borel equivalence relatio
 ns provides a rigorous framework to analyze the complexity of classificati
 on problems in mathematics\, to determine when a successful classification
  is possible\, and if so\, to determine the optimal classifying invariants
 . Central to this theory are the iterated Friedman-Stanley jumps\, which c
 apture the complexity of classification using invariants which are countab
 le sets of reals\, countable sets of countable sets of reals\, and so on. 
 In this talk I will present structural dichotomies for the Friedman-Stanle
 y jumps. This in turn provides a general tool for proving that a given cla
 ssification problem is more difficult than the k'th Friedman-Stanley jump\
 , for k=1\,2\,3\,.... This extends results previously only known for the c
 ase k=1. The talk will begin by discussing the basic definitions and gener
 al goals behind the theory of Borel equivalence relations. We will discuss
  some known structure and non-structure results\, and motivate these new d
 ichotomies.\n\nPLACE / LIEU\n	Hybride - CRM\, Salle / Room 5340\, Pavillon 
 André Aisenstadt\n	\n	ZOOM\n	https://us06web.zoom.us/j/84226701306?pwd=UEZ5NV
 pZaUlldW5qNU8vZzIvbEJXQT09\n
DTSTART:20240412T193000Z
DTEND:20240412T203000Z
SUMMARY:Assaf Shani (Concordia University)
URL:/mathstat/channels/event/assaf-shani-concordia-uni
 versity-356628
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