Fri, March 30, 2018
Public Access

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Category: All

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4:00pm [4:00pm] Soumyadip Thandar
Description:
Student Seminar Title: An example which motivates why we need line bundles. Speaker: Soumyadip Thandar Abstract: This will be a motivational seminar about the importance of line bundles( ie, vector bundles of rank 1). Giving a vector bundle of rank k over some space is equivalent to give some data, such as an open cover for the space, and a collection of maps from the intersections of these open sets to Gl(k,C). We will first construct CP^n by gluing (n+1) copies of C^n. We will then construct a special line bundle, called O(1), over CP^n , which possesses global sections. The main goal will be to prove that giving a morphism from X to CP^n is equivalent to give a line bundle over X and (n+1) sections which do not vanish simultaneously. Time and Venue: Friday, 30th March, 4pm, Room 216
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