BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Date iCal//NONSGML kigkonsult.se iCalcreator 2.20.2//
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/Chicago
BEGIN:STANDARD
DTSTART:20221106T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20230312T020000
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:calendar.25729.field_event_date_2.0@math.wustl.edu
CREATED:20230201T154613Z
DESCRIPTION:Abstract: Feynman integrals are quantities which appear frequen
tly when one computes amplitudes in quantum field theory. As a result of w
ork of Bloch-Esnault-Kreimer, and subsequent work of Brown, one can rein
terpret Feynman integrals as periods of mixed Hodge structures attached to
pairs of hypersurfaces in certain toric varieties. The hypersurfaces taki
ng part in this construction are built from a Feynman graph. This is essen
tially the data of a graph decorated with mass parameters attached to each
edge and momentum parameters attached to each vertex. Despite the combin
atorial origin of their geometry, the motives of Bloch-Esnault-Kreimer an
d Brown are only understood in a few basic cases. In this talk, I will di
scuss results which show that, for a simple, but infinite, class of gra
phs, the mixed Hodge structures controlling the corresponding Feynman int
egrals are built from hyperelliptic curves. This generalizes results of Bl
och and Kerr and helps clarify many computations appearing in the physics
literature. I'll demonstrate this in some examples and discuss the relatio
nship to computational work of Lairez-Vanhove. \n\nThis is joint work with
C. Doran and P. Vanhove.\n\nHost: Matt Kerr
DTSTART;TZID=America/Chicago:20230208T160000
DTEND;TZID=America/Chicago:20230208T170000
LAST-MODIFIED:20230201T154613Z
SUMMARY:Arithmetic & Algebraic Geometry Seminar: 'Motivic geometry of 2-loo
p Feynman integrals'
URL;TYPE=URI:https://math.wustl.edu/events/arithmetic-algebraic-geometry-se
minar-motivic-geometry-2-loop-feynman-integrals
END:VEVENT
END:VCALENDAR