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SUMMARY:Alapan Mukhopadhyay (University of Michigan\, Ann Arbor)
DTSTART:20200520T150000Z
DTEND:20200520T160000Z
DTSTAMP:20260513T204532Z
UID:CMI/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/6/">Sing
 ularities in positive characteristics.</a>\nby Alapan Mukhopadhyay (Univer
 sity of Michigan\, Ann Arbor) as part of CMI seminar series\n\n\nAbstract\
 nIn the first half\, we shall look at the several notions of singularities
  of a polynomial function at a point from both analytic and algebro-geomte
 ric point of view. We will indicate the surprising similarities of the res
 ults coming from these two seemingly different directions. In the second h
 alf\, these ideas will be put into a more general context detailing more o
 n the positive characteristic side. We shall discuss the notion of F-split
 \, F-regular schemes\, how these notions are related to the characteristic
  zero singularities. We shall end by mentioning some open problems relatin
 g singularities in characteristic zero and positive characteristic. This t
 alk is an exposition of the ideas developed in the last fifty years in dif
 ferent contexts.\n
LOCATION:https://researchseminars.org/talk/CMI/6/
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