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SUMMARY:On the categorical structure behind Galois theories - David Blázq
 uez-Sanz\, Universidad Nacional de Colombia
DTSTART:20210216T161500Z
DTEND:20210216T171500Z
UID:TALK157486@talks.cam.ac.uk
CONTACT:José Siqueira
DESCRIPTION:Most realizations of Galois theory rely on a set theoretical G
 alois group acting by automorphisms of an object in a category. In this ta
 lk we will discuss how\, if we ask the Galois group to be a group object i
 n the same category that the object in question\, then many different inca
 rnations of Galois theory\, including classical\, Hopf-Galois\, differenti
 al\, and Galois theory adapt to the same categorical framework. We will al
 so see that the realization of such theory in the category of smooth bundl
 es corresponds to some extension of the theory of principal connections in
  principal bundles. This talk is based on the article "A simplified catego
 rical approach to several Galois theories" in collaboration with C. A. Mar
 ín-Arango y J. F. Ruiz.Castrillon.\n----------------\n\nMeeting ID 993 65
 91 2480\nPasscode 493042\nLink  https://maths-cam-ac-uk.zoom.us/j/99365912
 480?pwd=ZE1aNUU4bjdFeVU3azQ1ZHJCSEx0dz09
LOCATION:Zoom (Meeting ID 993 6591 2480\, passcode 493042)
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