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pro vyhledávání: '"Kaledin, D."'
Autor:
Kaledin, D.
This is a companion overview paper to arXiv:2409.17489: we give all the main definitions, constructions and statements, but no proofs.
Comment: 82 pages, LaTeX2e
Comment: 82 pages, LaTeX2e
Externí odkaz:
http://arxiv.org/abs/2409.18378
Autor:
Kaledin, D.
No new results. This is a short overview of the standard machinery of filtered colimits and accessible categories, written in parallel to a homotopically enhanced version available as Section 7.6 in arXiv:2409.17489.
Comment: 34 pages, LaTeX2e
Comment: 34 pages, LaTeX2e
Externí odkaz:
http://arxiv.org/abs/2409.18380
Autor:
Kaledin, D.
We develop foundations for abstract homotopy theory based on Grothendieck's idea of a "derivator". The theory is model-independent, and does not depend on model categories, nor on simplicial sets. It is designed to accomodate all the usual potential
Externí odkaz:
http://arxiv.org/abs/2409.17489
Autor:
Kaledin, D.
This is mostly an overview. Given finitely presentable abelian categories $A$ and $B$, we sketch the construction of an abelian category of continuous functors from $A$ to $B$ that has nice $2$-categorical behaviour and gives an explicit model for th
Externí odkaz:
http://arxiv.org/abs/2112.02155
Autor:
Fonarev, A., Kaledin, D.
For a prime field $k$ of characteristic $p > 2$, we construct the B\"okstedt periodicity generator $v \in THH_2(k)$ as an explicit class in the stabilization of $K$-theory with coefficients $K(k,-)$, and we show directly that $v$ is not nilpotent in
Externí odkaz:
http://arxiv.org/abs/2107.03753
Autor:
Kaledin, D.
We give an overview of the parts of arXiv:2004.04279 that deal with 2-categories, up to and including adjunction, and explain how the Segal-type approach to 2-categories adopted there is related to the more standard approaches. As an application, we
Externí odkaz:
http://arxiv.org/abs/2005.09789
Autor:
Kaledin, D.
We flesh out the theory of "trace theories" and "trace functors" sketched in arXiv:1308.3743, extend it to a homotopical setting, and prove a reconstruction theorem claiming that a trace theory is completely determined by the associated trace functor
Externí odkaz:
http://arxiv.org/abs/2004.04279
We revisit the non-commutative Hodge-to-de Rham Degeneration Theorem of the first author, and present its proof in a somewhat streamlined and improved form that explicitly uses spectral algebraic geometry. We also try to explain why topology is essen
Externí odkaz:
http://arxiv.org/abs/1906.09518
Autor:
Kaledin, D.
This is an overview of my papers arxiv:1602.04254 and arxiv:1604.01588.
Comment: 34 pages, LaTeX2e
Comment: 34 pages, LaTeX2e
Externí odkaz:
http://arxiv.org/abs/1708.05660