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SUMMARY:Universal mixed elliptic motives (2/4)
DTSTART;VALUE=DATE-TIME:20140513T080000Z
DTEND;VALUE=DATE-TIME:20140513T100000Z
DTSTAMP;VALUE=DATE-TIME:20190419T025742Z
UID:indico-event-337@indico.math.cnrs.fr
DESCRIPTION:\nUniversal mixed elliptic motives are certain local systems o
ver a modular curve that are endowed with additional structure\, such as t
hat of a variation of mixed Hodge structure. They form a tannakian categor
y. The coordinate ring of its fundamental group is a Hopf algebra in a cat
egory of mixed Tate motives.\n\nThis course will be an introduction to uni
versal mixed elliptic motives\, which were defined with Makoto Matsumoto\,
and a report on more recent developments. One focus will be on the struct
ure of the tannakian fundamental group of the category of mixed elliptic m
otives over M1\,1. In particular\, we will explain that it is an extension
of GL2 by a prounipotent group whose Lie algebra is generated by Eisenste
in series and has non-trivial relations coming from cusp forms. We will al
so discuss the relation of mixed elliptic motives to mixed Tate motives vi
a specialization to the Tate curve and the nodal cubic.\n\nhttps://indico.
math.cnrs.fr/event/337/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/337/
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