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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Tamar Ziegler (Hebrew University)\n\nTitle: Sign pat
terns of the Mobius function\n\nAbstract: important arithmetic functions.
There is a vague yet well known principle regarding its randomness propert
ies called the “Mobius randomness law". It basically states that the Mobius
function should be orthogonal to any "structured" sequence. P. Sarnak sugg
ested a far reaching conjecture as a possible formalization of this princip
le. He conjectured that "structured sequences" should correspond to sequenc
es arising from deterministic dynamical systems. Sarnak’s conjecture follow
s from Chowla’s conjecture - which is the mobius version of the prime tuple
conjecture. I will describe progress in recent years towards these conject
ures\, building on major advances in dynamics\, additive combinatorics\, an
d analytic number theory.
DTEND:20221117T230000Z
DTSTAMP:20241106T054715Z
DTSTART:20221117T213000Z
GEO:42.358825;-71.090029
LOCATION:MIT\, 2-190
SEQUENCE:0
SUMMARY: Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium
UID:tag:localist.com\,2008:EventInstance_41057206932971
URL:https://calendar.mit.edu/event/brandeis-harvard-mit-northeastern_joint_
mathematics_colloquium_2741
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