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SUMMARY:Niven Achenjang (MIT)
DTSTART:20200914T190000Z
DTEND:20200914T203000Z
DTSTAMP:20260422T172132Z
UID:STAGE/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/8/">Sm
 ooth and étale morphisms</a>\nby Niven Achenjang (MIT) as part of STAGE\n
 \n\nAbstract\nReferences: <a href="https://link.springer.com/book/10.1007/
 b62130">Mumford\, The red book of varieties and schemes</a>\, III.5 and II
 I.10\; or <a href="https://math.mit.edu/~poonen/papers/Qpoints.pdf">Poonen
 \, Rational points on varieties</a>\, Section 3.5.\n\nSmooth varieties giv
 e an algebraic analogue of (smooth) manifolds from differential geometry\,
  while smooth and étale morphisms give algebraic analogues of submersions
  and local isomorphisms. In addition to translating important notions from
  differential geometry into the algebraic setting\, maps of these types pl
 ay an important role in later development of étale cohomology. In this ta
 lk\, we will introduce the definitions and basic properties of smooth and 
 étale morphisms with an emphasis on providing intuition for thinking abou
 t them.\n
LOCATION:https://researchseminars.org/talk/STAGE/8/
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