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DTSTART:20210101T000000
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DTSTART;VALUE=DATE:20210921
DTEND;VALUE=DATE:20210924
DTSTAMP:20260609T083619
CREATED:20210909T215846Z
LAST-MODIFIED:20210914T192646Z
UID:6250-1632182400-1632441599@aarms.math.ca
SUMMARY:Atlantic Algebra Centre Minicourse: Introduction to Schubert calculus via (nil-)Hecke algebras
DESCRIPTION:Professor Kirill Zaynullin (University of Ottawa)\nFrom September 20 to September 23\, 2021\, Professor Kirill Zaynullin from the University of Ottawa will give an introductory mini- course on nil-Hecke algebras and their applications in cohomology. \nThe mini-course will consist of four lectures and will give a self-contained exposition on the use of the techniques of nil-Hecke algebras in the equivariant Schubert calculus for cohomology of flag varieties. \nThe first part will discuss root datum and Coxeter groups (Lectures 1-2): definition of a root datum\, simple roots\, fundamental weights and the Cartan matrix\, the Dynkin diagram\, the Weyl group\, geometric realization\, finite real root systems\, coefficient ring of a root system\, non-crystallographic root datum. \nThe second part will introduce nil-Hecke rings and twisted group algebras (Lectures 2-3): definition of nil-Coxeter and nil-Hecke rings\, twisted group algebras and their localizations\, coproducts\, Hecke and Weyl actions\, characteristic and the Borel maps. \nThe third part (Lectures 3-4) will relate nil-Hecke rings and the Schubert calculus techniques: push-pull elements and divided- difference operators\, the coproduct and the actions\, faithful representation\, the augmented coproduct and the formula for the coproduct\, the dual of the nil-Hecke ring and equivariant cohomology. \nThe lectures will take place at the St. John’s campus of Memorial University and will be broadcast via Zoom. The schedule is tentatively: \n\nTuesday\, Sep. 21: 9-9:50 am and 3-3:50 pm (Atlantic time)\nWednesday\, Sep. 22: 9-9:50 am (Atlantic time)\nThursday\, Sep. 23: 9-9:50 am (Atlantic time)\n\nFor Zoom connection details and last minute schedule changes\, see the event website.
URL:https://aarms.math.ca/event/atlantic-algebra-centre-minicourse-introduction-to-schubert-calculus-via-nil-hecke-algebras/
LOCATION:Zoom seminar
ATTACH;FMTTYPE=image/png:https://aarms.math.ca/wp-content/uploads/2021/09/kirill.png
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