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SUMMARY:H&eacute\;l&egrave\;ne Esnault
DTSTART:20200928T160000Z
DTEND:20200928T170000Z
DTSTAMP:20260423T035914Z
UID:UNYONTC/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UNYONTC/8/">
 Bounding ramification with covers and curves</a>\nby H&eacute\;l&egrave\;n
 e Esnault as part of Upstate New York Online Number Theory Colloquium\n\n\
 nAbstract\nIn positive characteristic\, there is no curve with the propert
 y that its fundamental\ngroup covers the one of a given variety $X$ (Lefsc
 hetz property). Deligne asked\nwhether over an algebraically closed field 
 there is such a curve which preserves the\nmonodromy groups of  ${\\bar \\
 mathbb{Q}}_\\ell$ local systems in bounded rank and\nramification on $X$. 
 We can not prove this in general\, instead  we give weaker\nstatements whi
 ch enable one to tamify local systems. \n\nJoint work with Vasudevan Srini
 vas.\n
LOCATION:https://researchseminars.org/talk/UNYONTC/8/
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