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SUMMARY:Tony Feng
DTSTART:20210427T160000Z
DTEND:20210427T170000Z
DTSTAMP:20260423T021420Z
UID:eAKTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/eAKTS/19/">T
 he Galois action on symplectic K-theory</a>\nby Tony Feng as part of elect
 ronic Algebraic K-theory Seminar\n\nLecture held in 979 0634 7355.\n\nAbst
 ract\nThe algebraic K-theory of the integers has fascinating\nconnections 
 with number theory\; for example\, the values of the Riemann\nzeta functio
 n at negative integers turn out to be related to the sizes\nof K-groups (b
 y work of Rost-Voevodsky and Mazur-Wiles). Such\nconnections come from une
 xpected structure on the classifying spaces\nof arithmetic groups\, and ca
 n be explained in terms of the philosophy\nof the so-called Langlands prog
 ram. Motivated by this picture\, Akshay\nVenkatesh and Soren Galatius and 
 I considered a symplectic variant of\nalgebraic K-theory of the integers\,
  constructed a natural Galois\naction on it\, and computed that Galois act
 ion. I will explain this\nstory with a K-theory audience in mind.\n
LOCATION:https://researchseminars.org/talk/eAKTS/19/
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