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SUMMARY:Elliptic surfaces and Brauer-Manin obstructions - Harvey Yau\, Uni
 versity of Cambridge
DTSTART:20240503T150000Z
DTEND:20240503T160000Z
UID:TALK213361@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:Elliptic surfaces are a wide and varied class of surfaces\, wi
 th many tools and theorems from the theory of elliptic curves that can be 
 used to study them. In this talk I will introduce some of the main theory 
 and ideas about elliptic surfaces\, and show how they can be applied\, tog
 ether with some Galois cohomology\, to obtain elements of the Brauer group
 \, which can then be used to give examples of Brauer-Manin obstruction\, a
  method to show the nonexistence of rational points.
LOCATION:MR13
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