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SUMMARY:Alapan Mukhopadhyay (University of Michigan\, Ann Arbor)
DTSTART:20200520T150000Z
DTEND:20200520T160000Z
DTSTAMP:20260404T145131Z
UID:CMI/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMI/6
 /">Singularities in positive characteristics.</a>\nby Alapan Mukhopadhyay 
 (University of Michigan\, Ann Arbor) as part of CMI seminar series\n\n\nAb
 stract\nIn the first half\, we shall look at the several notions of singul
 arities of a polynomial function at a point from both analytic and algebro
 -geomteric point of view. We will indicate the surprising similarities of 
 the results coming from these two seemingly different directions. In the s
 econd half\, these ideas will be put into a more general context detailing
  more on the positive characteristic side. We shall discuss the notion of 
 F-split\, F-regular schemes\, how these notions are related to the charact
 eristic zero singularities. We shall end by mentioning some open problems 
 relating singularities in characteristic zero and positive characteristic.
  This talk is an exposition of the ideas developed in the last fifty years
  in different contexts.\n
LOCATION:https://stable.researchseminars.org/talk/CMI/6/
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