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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 156
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:YIDI WANG\, UNIVERSITY OF WATERLOO\n\nLocal-global principles o
 n stacky curves and its application in\nsolving generalized Fermat equatio
 ns. \n\nThe primitive solutions of certain generalized Fermat equations\,
 \ni.e.\, \nDiophantine equations of the form Ax^p+By^q = Cz^r\, can be st
 udied\nas \nintegral points on certain stacky curves. In a recent paper b
 y\nBhargava and \nPoonen\, an explicit example of such a curve of genus 1
 /2 violating \nlocal-global principle for integral points was given. Howe
 ver\, a\ngeneral \ndescription of stacky curves failing the local-global 
 principle is \nunknown. In this talk\, I will discuss our work on finding
  the\nprimitive \nsolutions to equation of the form when (p\, q\, r) = (2
 \,2\,n) by studying\nlocal-global principles for integral points on stacky
  curves\nconstructed from such equations. \nThe talk is based on a joint 
 project with Juanita Duque-Rosero\, \nChristopher Keyes\, Andrew Kobin\, 
 Manami Roy and Soumya Sankar. \n\nMC 5417
DTSTAMP:20260504T161359Z
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