Nghĩa của từ cohomology bằng Tiếng Việt

@cohomology
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Đặt câu có từ "cohomology"

1. Hochschild (1945) introduced Hochschild cohomology, a cohomology theory for algebras, which classifies deformations of algebras.

2. In 1968, together with Paul Monsky, he introduced the Monsky–Washnitzer cohomology, which is a p-adic cohomology theory for non-singular algebraic varieties.

3. For example, the cohomology ring of a path-connected H-space with finitely generated and free cohomology groups is a Hopf algebra.

4. Cancellation of BRST cohomology between D-Branes and ghost D-Branes is …

5. His main areas of research are algebraic topology and the group cohomology.

6. This result is used to calculate the étale cohomology groups of an algebraic curve.

7. The principal result asserts that higher cohomology classes are p-adic limits of cuspidal modular forms.

8. The Steenrod cohomology operations form a (non-commutative) algebra under composition, known as the Steenrod algebra.

9. Merkurjev's work focuses on algebraic groups, quadratic forms, Galois cohomology, algebraic K-theory and central simple algebras.

10. The Bivariant coho-mology groups form a graded algebra, of which the cohomology algebra in [Ca1] is an algebra retract

11. Stammbach's research deals with homological algebra, specifically with its applications to group theory ( homology and cohomology of groups).

12. The Bivariant Chow groups provide a good formalism for cohomology theory of arbitrary (not necessarily smooth) schemes as well as for expressing

13. Chern classes can be used to construct a homomorphism of rings from the topological K-theory of a space to (the completion of) its rational cohomology.

14. Coming to Canada from Swiss Federal Institute of Technology (ETH) Zurich, Switzerland Research involves Examining non-abelian Galois cohomology and splitting properties of the corresponding algebraic groups.

15. The focus of Dr. Chernousov's present research is on a particular mathematical framework called "non-abelian Galois cohomology" and on the splitting properties of the corresponding algebraic groups.

16. Dr. Iovita's most recent work has been concentrated on one of the most dynamical theories to emerge in recent years, a theory known as p-adic cohomology.

17. He also studies linkage theory, Rees algebras, homological theory of modules over Noetherian rings, local cohomology, symbolic powers of ideals, Cohen-Macaulay rings, Gorenstein rings and Hilbert-Kunz functions.

18. 1955 Alexander Grothendieck in lectures in Kansas defines abelian category and presheaf, and by using injective resolutions allows direct use of sheaf cohomology on all topological spaces, as derived functors.

19. In algebraic topology the number of fixed points of an automorphism can be worked out using the Lefschetz fixed point theorem, given as an alternating sum of traces on the cohomology groups.

20. (These Bivariant groups are not to be confused with the Bivariant cohomology groups in [Lo, x5.5.1].) The data constituting the Bivariant theory are speci ed in section3, and satisfaction of the Bivariant axioms is veri ed in

21. He was awarded the Fields Medal in 2018, for "transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces, with application to Galois representations, and for the development of new cohomology theories."

22. He works on moduli spaces of vector bundles, higher non-abelian de Rham cohomology (Hodge theory), the theory of higher categories and computer verification of mathematical proofs (e.g. verification of proofs within Zermelo–Fraenkel set theory using Coq).

23. He has also contributed to the development of the theory of L2-invariants (such as L2-Betti numbers and L2-cohomology) of manifolds, which were originally introduced by Michael Atiyah and are defined by means of operator algebras.

24. His results on Fourier-Mukai transforms solve many problems within algebraic geometry, and have been influential in homological and commutative algebra, orbifold and quantum cohomology, minimal model program, classification of Fano varieties, moduli constructions, representation theory and combinatorics.

25. Our Bivariant cycle cohomology groups Ar,i(Y,X), defined for schemes Y,X of finite type over a field k, satisfy Ar,i(Spec(k),X)) = CHn−r(X,i) whenever Xis an affine scheme over kof pure dimension n

26. In 1970 Kiehl was an Invited Speaker at the ICM in Nice with talk Grauertsche Kohärenzsätze für stetige und differenzierbare Familien komplexer Räume. with Eberhard Freitag: Etale Cohomology and the Weil Conjecture, Springer Verlag 1988 with Rainer Weissauer: Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform, Springer Verlag 2001 De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper, Pub.