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SUMMARY:AARMS COVID-19 Seminar:  Theodore Kolokolnikov (Dalhousie)
DESCRIPTION:Modelling of disease spread through heterogeneous population\nWe present a simple model of disease spread that incorporates spatial variability in population density. Starting from first principles\, we derive a novel PDE with state-dependent diffusion. Consistent with observations\, this model exhibits higher infection rates in the areas of higher population density. The model also exhibits an infection wave whose speed varies with population density. In addition\, we demonstrate the possibility of super-diffusive propagation of infection\, whereby an infection can “jump” across areas of low population density towards the areas of high population density. Finally\, a case study of coronavirus spread in the Canadian province of Nova Scotia is presented with qualitatively similar features as our model\, including density-dependent infection rates and infection that jumps across main population centers. \n[ recording ] \nMore information about this seminar series.  This is a virtual zoom seminar.  If you would like to attend\, please email the organizers for connection details.  All times are given in the Atlantic timezone.
URL:https://aarms.math.ca/event/aarms-covid-19-seminar-2021-09-20/
LOCATION:Zoom seminar
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DTSTART;VALUE=DATE:20210921
DTEND;VALUE=DATE:20210924
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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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