BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY: Descending cohomology geometrically - Yano Casalaina-Martin
DTSTART:20160601T131500Z
DTEND:20160601T141500Z
UID:TALK65102@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:Motivated by a problem posed by Barry Mazur\, in this talk I w
 ill discuss joint work with Jeff Achter and Charles Vial where we show tha
 t for smooth projective varieties over the rationals\, the odd\ncohomology
  groups of degree less than or equal to the dimension can be modeled by th
 e cohomology of an abelian variety\, provided the geometric coniveau is ma
 ximal. This provides an affirmative answer to\nMazur’s question for all 
 uni-ruled threefolds\, for instance.  In particular cases\, one might expe
 ct to be able to construct this abelian variety geometrically\; time permi
 tting\, I will discuss how a result of Beauville provides further informat
 ion about this abelian variety in the case of a fibration in odd dimension
 al quadrics over a surface. 
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR