Why is K-theory called that?
It takes its name from the German Klasse, meaning “class”. Grothendieck needed to work with coherent sheaves on an algebraic variety X.
What is K in number theory?
If two integers a and b share no common factors, then gcd(a, b) = 1. Such a pair of integers are called relatively prime. If k is a non-zero integer, then k divides zero. the largest common divisor of k and zero is k.
Where is Alexander grothendieck from?
Berlin, GermanyAlexander Grothendieck / Place of birth
What is K in abstract algebra?
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called K-groups. These are groups in the sense of abstract algebra.
What is a K group?
In mathematics, K-group or K group may refer to: A group in algebraic K-theory. A group in topological K-theory. A complemented group. In the classification of finite simple groups, K-group may mean a group whose proper subgroups only have composition factors amongst the known finite simple groups.
How do you pronounce Alexander Grothendieck?
- Phonetic spelling of Alexander grothendieck. Alexan-der grothen-dieck.
- Meanings for Alexander grothendieck. He is a Mathematician who created the contribution of Modern algebraic geometry.
- Examples of in a sentence. Russian mathematician declines Fields Medal.
- Translations of Alexander grothendieck.
What is Z5 in group theory?
Definition The number of elements of a group is called the order. For a group, G, we use |G| to denote the order of G. Example 2.1 Since Z5 = {0,1,2,3,4}, we say that Z5 has order 5 and we write |Z5| = 5.
What happened to Grothendieck?
Grothendieck died Thursday at a hospital in the southwestern town of Saint-Girons, hospital officials said, without specifying the cause of death for privacy reasons. According to French daily Le Monde, Grothendieck had been living for decades in a hideaway home in the nearby village of Lasserre.
Who is Alexander Grothendieck?
Alexander Grothendieck was born in Berlin in 1928 to anarchist parents Alexander “Sascha” Schapiro and Johanna “Hanka” Grothendieck. His father was Russian and of Jewish ancestry, having been born in what is now Ukranine and growing up in the Russian Empire.
How hard-working was Grothendieck?
Grothendieck is also remembered as extremely hard-working, by Barry Mazur (1937-) who described how arriving at his house late at night was never a concern: “We would take the last train back, absolutely certain that there would be Grothendieck working, his desk by the window.“
What is the Grothendieck Festschrift?
The Grothendieck Festschrift, published in 1990, was a three-volume collection of research papers to mark his sixtieth birthday in 1988. In it, Cartier notes that as the son of an antimilitary anarchist and one who grew up among the disenfranchised, Grothendieck always had a deep compassion for the poor and the downtrodden.
What is Grothendieck-Riemann-Roch theorem?
In mathematics, specifically in algebraic geometry, the Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisation of the Hirzebruch–Riemann–Roch theorem, about complex manifolds, which is itself a generalisation of the classical Riemann–Roch theorem for line bundles on compact Riemann surfaces .