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SUMMARY:"Convergence polygons for p-adic differential equations"
DTSTART:20150323T151500
DTEND:20150323T161500
DTSTAMP:20260407T025744Z
UID:337cb65fbebaff167b1c47f5891be7191e59556085034697053751f6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Kiran Sridhara Kedlaya (University of California)\nThe c
 atalog of special functions in real and complex analysis is largely constr
 ucted by solving ordinary differential equations. In number theory\, solut
 ions of p-adic\ndifferential equations also play an important role\; for i
 nstance\, as discovered by Dwork in the 1960s\, zeta functions of algebrai
 c varieties over finite fields can often be described in terms of solution
 s of p-adic differential equations.\nHowever\, convergence of these soluti
 ons is in many respects a subtler question than in the archimedean case. W
 e describe an emerging theory of "Newton polygons" for padic differential 
 equations\, which combines over 50 years of prior work with some recent in
 novations introduced in work of Baldassarri\, Poineau\, Pulita\, and the s
 peaker. 
LOCATION:BI A0 448 (CIB) http://plan.epfl.ch/?lang=fr&room=BI+A0+448
STATUS:CONFIRMED
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