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DTSTART:20181028T020000
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UID:calendar.66437.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200528T065413Z
CREATED:20181018T220009Z
DESCRIPTION:Date: \n\n4:00pm to 5:15pm\n\n\n\n\nSee also: Basic Notions\,
Events & Seminars\, SeminarsLocation: \n\nRoss 70\n\n\nSpeaker:Tomer Schl
ankTitle: Spectra or homotopical Abelian groupsAbstract: The notion of sp
ectra is one of the most important constructions in modern algebraic topol
ogy. It appears naturally in the study of cobordism classes of manifolds\,
as the classification of generalized cohomology theories\, as the manifes
tation of Algebraic K-theory\, In the classification of Topological field
theories\, and many more. This amazing ubiquitousness of spectra can be ex
plained by the observation that spectra can be thought of as a homotopical
analog of abelian groups. Following this observation\, In the last years\
, J. Lurie and other authors began redeveloping algebra with Spectra takin
g the role of abelian groups. Analogs of commutative and non-commutative r
ings\, modules\, lie-algebras\, and many others developed\, and many theor
ems where proved that are analogs of the classical case. The picture emerg
ing is fascinating and includes new mysterious primes\, generalized geomet
ric objects and notions of rings interpolating between commutative and non
-commutative rings. I'll describe the notion of spectra and relevant to
ols. I will assume familiarity with the notion of homotopy groups in the l
ecture but not more.\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20181101T160000
DTEND;TZID=Asia/Jerusalem:20181101T171500
LAST-MODIFIED:20181023T220022Z
SUMMARY:Basic Notions seminar :Tomer Schlank - Spectra or homotopical Abel
ian groups
URL;TYPE=URI:https://mathematics.huji.ac.il/event/basic-notions-seminar-1
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