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SUMMARY:Hyuk Jun Kweon (MIT)
DTSTART:20201102T200000Z
DTEND:20201102T213000Z
DTSTAMP:20260422T220631Z
UID:STAGE/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/15/">A
 lterations</a>\nby Hyuk Jun Kweon (MIT) as part of STAGE\n\n\nAbstract\nIn
  1964\, Hironaka proved that over a field of characteristic zero\, every a
 lgebraic variety admits a resolution of singularities. However\, the probl
 em of resolution of singularities is still open in positive characteristic
 . As a weaker result\, de Jong proved that every algebraic variety admits 
 regular alterations. We will discuss background\, main statements and some
  applications for de Jong's result. If time allows\, we will discuss a ver
 y rough sketch of the proof.\n\n\nReference: <a href="https://web.stanford
 .edu/~aaronlan/assets/alterations-notes.pdf">Notes from Conrad's lectures 
 on alternations</a>\, Section 1.  The goal is to understand the statement 
 of the main theorem on alterations.\n
LOCATION:https://researchseminars.org/talk/STAGE/15/
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