Search Results - "Zakharevich, Inna"

Principal ideals in mod-ℓ Milnor K-theory by Weibel, Charles, Zakharevich, Inna

“…Fix a symbol a ̲ in the mod- ℓ Milnor K -theory of a field k , and a norm variety X for a ̲ . We show that the ideal generated by a ̲ is the kernel of the K…”
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The K-theory of assemblers by Zakharevich, Inna

“…In this paper we introduce the notion of an assembler, which formally encodes “cutting and pasting” data. An assembler has an associated K-theory spectrum, in…”
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Perspectives on scissors congruence by Zakharevich, Inna

“…In this paper we give a short introduction to the different theories of scissors congruence. We begin with classical scissors congruence, which considers…”
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The annihilator of the Lefschetz motive by Zakharevich, Inna

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Hilbert's third problem and a conjecture of Goncharov by Campbell, Jonathan A., Zakharevich, Inna

“…In this paper we reduce the generalized Hilbert's third problem about Dehn invariants and scissors congruence classes to the injectivity of certain…”
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Dévissage and localization for the Grothendieck spectrum of varieties by Campbell, Jonathan A., Zakharevich, Inna

“…We introduce a new perspective on the K-theory of exact categories via the notion of a CGW-category. CGW-categories are a generalization of exact categories…”
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A Trace Map on Higher Scissors Congruence Groups by Bohmann, Anna Marie, Gerhardt, Teena, Malkiewich, Cary, Merling, Mona, Zakharevich, Inna

“…Cut-and-paste $K$-theory has recently emerged as an important variant of higher algebraic $K$-theory. However, many of the powerful tools used to study…”
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A generalization of Wigner's law by ZAKHAREVICH, Inna

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Principal ideals in mod-$$\ell $$ Milnor K-theory by Weibel, Charles, Zakharevich, Inna

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Compactly supported A1-Euler characteristic and the Hochschild complex by Arcila-Maya, Niny, Bethea, Candace, Opie, Morgan, Wickelgren, Kirsten, Zakharevich, Inna

“…We show the A1-Euler characteristic of a smooth, projective scheme over a characteristic 0 field is represented by its Hochschild complex together with a…”
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Compactly supported A 1 -Euler characteristic and the Hochschild complex by Arcila-Maya, Niny, Bethea, Candace, Opie, Morgan, Wickelgren, Kirsten, Zakharevich, Inna

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E_\infty$-Ring structures on the $K$-theory of assemblers and point counting by Zakharevich, Inna

“…We construct a monoidal structure on the category of assemblers. As an application of this, we construct a derived local zeta-function which takes a variety…”
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Splittings and calculational techniques for higher THH by Bobkova, Irina, Höning, Eva, Lindenstrauss, Ayelet, Poirier, Kate, Richter, Birgit, Zakharevich, Inna

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Flat origami is Turing Complete by Hull, Thomas C, Zakharevich, Inna

“…Flat origami refers to the folding of flat, zero-curvature paper such that the finished object lies in a plane. Mathematically, flat origami consists of a…”
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A combinatorial construction of homology via ACGW categories by Sarazola, Maru, Shapiro, Brandon, Zakharevich, Inna

“…2-Segal spaces arise not only from $S_\dotp$-constructions associated to Waldhausen and (proto) exact categories, but also from $S_\dotp$-constructions…”
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Hilbert's third problem and a conjecture of Goncharov by Campbell, Jonathan, Zakharevich, Inna

“…In this paper we reduce the generalized Hilbert's third problem about Dehn invariants and scissors congruence classes to the injectivity of certain…”
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A prop structure on partitions by Emprin, Coline, Hunter, Dana, Livernet, Muriel, Vespa, Christine, Zakharevich, Inna

“…Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of…”
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The annihilator of the Lefschetz motive by Zakharevich, Inna

“…Duke Math. J. 166, no. 11 (2017), 1989-2022 In this paper we study a spectrum $K(\mathcal{V}_k)$ such that $\pi_0 K(\mathcal{V}_k)$ is the Grothendieck ring of…”
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Algebraic $K$-theory for squares categories by Campbell, Jonathan, Kuijper, Josefien, Merling, Mona, Zakharevich, Inna

“…In this paper we introduce a new formalism for $K$-theory, called squares $K$-theory. This formalism allows us to simultaneously generalize the usual…”
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On $K_1$ of an assembler by Zakharevich, Inna

“…This paper contains a construction of generators and partial relations for $K_1$ of a simplicial Waldhausen category where cofiber sequences split up to weak…”
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