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DTSTART;TZID=America/Los_Angeles:20240220T121500
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SUMMARY:Point-counting and topology of algebraic varieties (Siddarth Kannan\, UCLA)
DESCRIPTION:A projective algebraic variety X is the zero locus of a collection of homogeneous polynomials\, in projective space. When the polynomials have integer coefficients\, we can think of the k-valued points X(k) of the variety\, for any field k. Now suppose we have two different fields k and k’. How does the behavior of X(k) inform the behavior of X(k’)? It turns out that this is a rich line of inquiry. I will present a particularly pleasing example which relates the topology of the complex-valued points of X with the number of points it has over finite fields.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-siddarth-kannan-ucla/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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