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UID:www.tcs.tifr.res.in/event/984
DTSTAMP:20230914T125945Z
SUMMARY:Sums/Products of Algebraic Numbers are also Algebraic\, a Construct
ive Proof
DESCRIPTION:Speaker: Anamay Tengse\n\nAbstract: \nAbstract: A complex numb
er z is said to be algebraic\, if there is a univariate f(x) with real coe
fficients such that f(z)=0. For instance i\, the square root of -1\, is al
gebraic with f(x) being x^2 + 1.\nNow given that z_1 and z_2 are algebraic
\, suppose you want to show that (z_1 + z_2) or (z_1 * z_2) are also algeb
raic. In other words\, given polynomials f(x) and g(x) with z_1 and z_2 as
(one of their) roots\, we want to construct polynomials that have (z_1 +
z_2) or (z_1 * z_2) as a root. In this talk we will build such polynomials
via an interesting object called the resultant.\nP.S.: Little background
will be assumed\, so if the problem statement is clear then so should be t
he talk.\n
URL:https://www.tcs.tifr.res.in/web/events/984
DTSTART;TZID=Asia/Kolkata:20190809T171500
DTEND;TZID=Asia/Kolkata:20190809T184500
LOCATION:A-201 (STCS Seminar Room)
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