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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20250314T102307Z
DTSTART:20250319T150000Z
DTEND:20250319T160000Z
SUMMARY:Logic seminar: Neer Bhardwaj
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}x1g6-m66pk1
 b8-1r090v
DESCRIPTION:Title: Effective and approximate Pila-Wilkie type counting wi
 th complex-analytic sets\n\n \n\nAbstract: The Pila-Wilkie point countin
 g theorem has had striking applications to arithmetic geometry\, functio
 nal transcendence\, and Hodge theory. This statement cannot be made effe
 ctive in general\, but various effective versions of the theorem exist f
 or zero sets of functions satisfying certain forms of differential equat
 ions. \n\nIn joint work with Binyamini\, we establish an effective point
 -counting statement of Pila-Wilkie type for the zero-set of any computab
 le complex-analytic function over a ball. For our proof\, we develop an 
 approximate counting result to cover rational points close to being a so
 lution of a family of complex-analytic functions in a ball. This second 
 theorem is unique among results of Pila-Wilkie type in that it applies u
 niformly to any family of functions.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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