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SUMMARY:Periods of modular forms and relations in the fundamental Lie alge
 bra of Universal Mixed Elliptic Motives - Pollack\, A (Princeton Universit
 y)
DTSTART:20130410T104500Z
DTEND:20130410T114500Z
UID:TALK44417@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Hain and Matsumoto have defined a category of so-called univer
 sal mixed elliptic motives\, universal in the sense that such objects shou
 ld be thought of as living over the moduli of all elliptic curves. They ha
 ve shown that this category is neutral Tannakian. An interesting question 
 then is understand explicitly the fundamental Lie algebra of this category
 . We make some progress in this direction\, by proving a result about rela
 tions between a minimal set of generators for this Lie algebra. In particu
 lar\, we find that periods of modular forms are closely connected to these
  relations. This work is closely related to older work of Schneps\, and it
  also appears that there may be some connection to work of Gangl-Kaneko-Za
 gier.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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