Kuznetsov, Alexander Semiorthogonal decompositions in families. (English) Zbl 07821736 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1154-1200 (2023). MSC: 18G80 14D06 14E15 14N35 PDFBibTeX XMLCite \textit{A. Kuznetsov}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1154--1200 (2023; Zbl 07821736) Full Text: DOI arXiv OA License
Garkusha, Grigory Correspondences and stable homotopy theory. (English) Zbl 07782702 Trans. Lond. Math. Soc. 10, 124-155 (2023). MSC: 55P42 18D20 PDFBibTeX XMLCite \textit{G. Garkusha}, Trans. Lond. Math. Soc. 10, 124--155 (2023; Zbl 07782702) Full Text: DOI arXiv OA License
Spellmann, Jan-Luca; Young, Matthew B. Matrix factorizations, reality and Knörrer periodicity. (English) Zbl 1527.18010 J. Lond. Math. Soc., II. Ser. 108, No. 6, 2297-2332 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18G35 81T30 PDFBibTeX XMLCite \textit{J.-L. Spellmann} and \textit{M. B. Young}, J. Lond. Math. Soc., II. Ser. 108, No. 6, 2297--2332 (2023; Zbl 1527.18010) Full Text: DOI arXiv
Land, Markus; Nikolaus, Thomas; Schlichting, Marco L-theory of \(C^*\)-algebras. (English) Zbl 07780648 Proc. Lond. Math. Soc. (3) 127, No. 5, 1451-1506 (2023). Reviewer: Christoph Winges (Regensburg) MSC: 18F25 19K35 19G12 19G38 19K56 PDFBibTeX XMLCite \textit{M. Land} et al., Proc. Lond. Math. Soc. (3) 127, No. 5, 1451--1506 (2023; Zbl 07780648) Full Text: DOI arXiv OA License
Bartels, Arthur; Lück, Wolfgang On the algebraic \(K\)-theory of Hecke algebras. (English) Zbl 1524.18021 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 241-277 (2023). MSC: 18F25 19D35 19D50 20G05 22E50 PDFBibTeX XMLCite \textit{A. Bartels} and \textit{W. Lück}, Lect. Notes Math. 2313, 241--277 (2023; Zbl 1524.18021) Full Text: DOI arXiv
Elmanto, Elden; Haugseng, Rune On distributivity in higher algebra. I: The universal property of bispans. (English) Zbl 07744973 Compos. Math. 159, No. 11, 2326-2415 (2023). Reviewer: Alexander Prähauser (Wien) MSC: 18Nxx 13D09 14A30 14F42 19L47 PDFBibTeX XMLCite \textit{E. Elmanto} and \textit{R. Haugseng}, Compos. Math. 159, No. 11, 2326--2415 (2023; Zbl 07744973) Full Text: DOI arXiv OA License
Saorín, Manuel; Šťovíček, Jan; Virili, Simone \(t\)-structures on stable derivators and Grothendieck hearts. (English) Zbl 1523.18014 Adv. Math. 429, Article ID 109139, 70 p. (2023). Reviewer: George Ciprian Modoi (Cluj-Napoca) MSC: 18G80 18E10 18E40 PDFBibTeX XMLCite \textit{M. Saorín} et al., Adv. Math. 429, Article ID 109139, 70 p. (2023; Zbl 1523.18014) Full Text: DOI arXiv
Lau, Eike The Balmer spectrum of certain Deligne-Mumford stacks. (English) Zbl 1525.14024 Compos. Math. 159, No. 6, 1314-1346 (2023). Reviewer: Yonghong Huang (Guangzhou) MSC: 14F08 13D09 14A20 18G80 20C99 20J06 PDFBibTeX XMLCite \textit{E. Lau}, Compos. Math. 159, No. 6, 1314--1346 (2023; Zbl 1525.14024) Full Text: DOI arXiv
Bai, Shaoyun; Côté, Laurent On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov. (English) Zbl 07663048 Compos. Math. 159, No. 3, 437-487 (2023). MSC: 53D40 18E35 14A22 53D37 18G80 PDFBibTeX XMLCite \textit{S. Bai} and \textit{L. Côté}, Compos. Math. 159, No. 3, 437--487 (2023; Zbl 07663048) Full Text: DOI arXiv
Binda, Federico; Merici, Alberto Connectivity and purity for logarithmic motives. (English) Zbl 1519.14021 J. Inst. Math. Jussieu 22, No. 1, 335-381 (2023); erratum ibid. 22, No. 2, 1001-1002 (2023). MSC: 14F42 14F08 18G80 PDFBibTeX XMLCite \textit{F. Binda} and \textit{A. Merici}, J. Inst. Math. Jussieu 22, No. 1, 335--381 (2023; Zbl 1519.14021) Full Text: DOI arXiv
Djament, Aurélien; Touzé, Antoine Homological finiteness of functors on an additive category and applications. (Finitude homologique des foncteurs sur une catégorie additive et applications.) (French. English summary) Zbl 1505.18003 Trans. Am. Math. Soc. 376, No. 2, 1113-1154 (2023). Reviewer: Geoffrey Powell (Angers) MSC: 18A25 18E10 18G15 20J06 18A40 18E05 18G31 PDFBibTeX XMLCite \textit{A. Djament} and \textit{A. Touzé}, Trans. Am. Math. Soc. 376, No. 2, 1113--1154 (2023; Zbl 1505.18003) Full Text: DOI arXiv
Di Liberti, Ivan; Loregian, Fosco Accessibility and presentability in 2-categories. (English) Zbl 1494.18006 J. Pure Appl. Algebra 227, No. 1, Article ID 107155, 25 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18C35 18A05 18D65 PDFBibTeX XMLCite \textit{I. Di Liberti} and \textit{F. Loregian}, J. Pure Appl. Algebra 227, No. 1, Article ID 107155, 25 p. (2023; Zbl 1494.18006) Full Text: DOI arXiv
Johnson, Niles; Yau, Donald Multifunctorial \(K\)-theory is an equivalence of homotopy theories. (English) Zbl 1512.18012 J. Homotopy Relat. Struct. 17, No. 4, 569-592 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M65 55P42 55P48 18F25 PDFBibTeX XMLCite \textit{N. Johnson} and \textit{D. Yau}, J. Homotopy Relat. Struct. 17, No. 4, 569--592 (2022; Zbl 1512.18012) Full Text: DOI arXiv
Chirvasitu, Alexandru \(C^\ast\) completions of Leavitt-path-algebra pullbacks. (English) Zbl 1502.18003 Appl. Categ. Struct. 30, No. 6, 1123-1133 (2022). MSC: 18A30 46L05 PDFBibTeX XMLCite \textit{A. Chirvasitu}, Appl. Categ. Struct. 30, No. 6, 1123--1133 (2022; Zbl 1502.18003) Full Text: DOI
Gallauer, Martin Supports for constructible systems. (English) Zbl 1509.14046 Doc. Math. 27, 1739-1772 (2022). MSC: 14F20 14F08 14F25 14F42 18G80 18M05 PDFBibTeX XMLCite \textit{M. Gallauer}, Doc. Math. 27, 1739--1772 (2022; Zbl 1509.14046) Full Text: DOI arXiv
Goldfarb, Boris; Grossman, Jonathan L. Colimit theorems for coarse coherence with applications. (English) Zbl 1502.19001 Topology Appl. 320, Article ID 108240, 10 p. (2022). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 19D50 20F69 16E65 20J05 18F25 PDFBibTeX XMLCite \textit{B. Goldfarb} and \textit{J. L. Grossman}, Topology Appl. 320, Article ID 108240, 10 p. (2022; Zbl 1502.19001) Full Text: DOI arXiv
Raptis, George Higher homotopy categories, higher derivators, and \(K\)-theory. (English) Zbl 1498.18037 Forum Math. Sigma 10, Paper No. e54, 36 p. (2022). Reviewer: Marek Golasiński (Olsztyn) MSC: 18N45 18N40 55N15 PDFBibTeX XMLCite \textit{G. Raptis}, Forum Math. Sigma 10, Paper No. e54, 36 p. (2022; Zbl 1498.18037) Full Text: DOI arXiv
Coley, Ian The theory of half derivators. (English) Zbl 1499.18042 Doc. Math. 27, 655-698 (2022). Reviewer: Ross H. Street (Sydney) MSC: 18N40 55U35 PDFBibTeX XMLCite \textit{I. Coley}, Doc. Math. 27, 655--698 (2022; Zbl 1499.18042) Full Text: DOI arXiv
Bachmann, Tom; Kong, Hana Jia; Wang, Guozhen; Xu, Zhouli The Chow \(t\)-structure on the \(\infty\)-category of motivic spectra. (English) Zbl 1489.14030 Ann. Math. (2) 195, No. 2, 707-773 (2022). Reviewer: Oliver Röndigs (Osnabrück) MSC: 14F42 18G80 55Q45 PDFBibTeX XMLCite \textit{T. Bachmann} et al., Ann. Math. (2) 195, No. 2, 707--773 (2022; Zbl 1489.14030) Full Text: DOI arXiv
Touzé, Antoine On the structure of graded commutative exponential functors. (English) Zbl 1486.18003 Int. Math. Res. Not. 2021, No. 17, 13305-13415 (2021). Reviewer: Aurelien Djament (Villeneuve d’Ascq) MSC: 18A25 18M99 18G15 16T05 14L15 20G05 20G10 20J06 PDFBibTeX XMLCite \textit{A. Touzé}, Int. Math. Res. Not. 2021, No. 17, 13305--13415 (2021; Zbl 1486.18003) Full Text: DOI arXiv
Kalck, Martin A new equivalence between singularity categories of commutative algebras. (English) Zbl 1477.18030 Adv. Math. 390, Article ID 107913, 11 p. (2021). Reviewer: Intan Muchtadi-Alamsyah (Bandung) MSC: 18G80 13D09 PDFBibTeX XMLCite \textit{M. Kalck}, Adv. Math. 390, Article ID 107913, 11 p. (2021; Zbl 1477.18030) Full Text: DOI arXiv
Dell’Ambrogio, Ivo; Meyer, Ralf The spectrum of equivariant Kasparov theory for cyclic groups of prime order. (English) Zbl 1480.19002 Ann. \(K\)-Theory 6, No. 3, 543-558 (2021). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K35 19L47 18G80 PDFBibTeX XMLCite \textit{I. Dell'Ambrogio} and \textit{R. Meyer}, Ann. \(K\)-Theory 6, No. 3, 543--558 (2021; Zbl 1480.19002) Full Text: DOI arXiv
Pavic, Nebojsa; Shinder, Evgeny \(K\)-theory and the singularity category of quotient singularities. (English) Zbl 1490.14020 Ann. \(K\)-Theory 6, No. 3, 381-424 (2021). MSC: 14C35 14J17 18G80 19E08 PDFBibTeX XMLCite \textit{N. Pavic} and \textit{E. Shinder}, Ann. \(K\)-Theory 6, No. 3, 381--424 (2021; Zbl 1490.14020) Full Text: DOI arXiv
Ananyevskiy, Alexey Thom isomorphisms in triangulated motivic categories. (English) Zbl 1471.14051 Algebr. Geom. Topol. 21, No. 4, 2085-2106 (2021). MSC: 14F42 14F45 14F08 18G80 PDFBibTeX XMLCite \textit{A. Ananyevskiy}, Algebr. Geom. Topol. 21, No. 4, 2085--2106 (2021; Zbl 1471.14051) Full Text: DOI arXiv
Kasprowski, Daniel; Li, Kevin; Lück, Wolfgang \(K\)- and \(L\)-theory of graph products of groups. (English) Zbl 1466.18008 Groups Geom. Dyn. 15, No. 1, 269-311 (2021). Reviewer: Christoph Winges (Regensburg) MSC: 18F25 20F36 20F55 PDFBibTeX XMLCite \textit{D. Kasprowski} et al., Groups Geom. Dyn. 15, No. 1, 269--311 (2021; Zbl 1466.18008) Full Text: DOI arXiv
Antieau, Benjamin; Elmanto, Elden Descent for semiorthogonal decompositions. (English) Zbl 1467.14049 Adv. Math. 380, Article ID 107600, 38 p. (2021). MSC: 14F08 14F22 14M17 18G80 PDFBibTeX XMLCite \textit{B. Antieau} and \textit{E. Elmanto}, Adv. Math. 380, Article ID 107600, 38 p. (2021; Zbl 1467.14049) Full Text: DOI arXiv
Rahn, Moritz Higher symmetries in abstract stable homotopy theories. (English) Zbl 1469.55015 Šťovíček, Jan (ed.) et al., Representation theory and beyond. Workshop and 18th international conference on representations of algebras, ICRA 2018, Prague, Czech Republic, August 13–17, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 758, 91-193 (2020). MSC: 55U35 18G80 55-02 18-02 55P42 55U40 16E35 PDFBibTeX XMLCite \textit{M. Rahn}, Contemp. Math. 758, 91--193 (2020; Zbl 1469.55015) Full Text: DOI arXiv
Balchin, Scott; Greenlees, J. P. C. Adelic models of tensor-triangulated categories. (English) Zbl 1455.55008 Adv. Math. 375, Article ID 107339, 45 p. (2020). Reviewer: Luca Pol (Regensburg) MSC: 55P60 18N40 13Dxx PDFBibTeX XMLCite \textit{S. Balchin} and \textit{J. P. C. Greenlees}, Adv. Math. 375, Article ID 107339, 45 p. (2020; Zbl 1455.55008) Full Text: DOI arXiv
Khan, Adeel A. Algebraic \(K\)-theory of quasi-smooth blow-ups and cdh descent. (K-théorie algébrique des éclatements quasi-lisses et descente pour la topologie cdh.) (English. French summary) Zbl 1520.14047 Ann. Henri Lebesgue 3, 1091-1116 (2020). MSC: 14F42 14A20 14A30 18F25 19E08 14C35 20C25 PDFBibTeX XMLCite \textit{A. A. Khan}, Ann. Henri Lebesgue 3, 1091--1116 (2020; Zbl 1520.14047) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Lavau, Sylvain; Strobl, Thomas The universal Lie \(\infty\)-algebroid of a singular foliation. (English) Zbl 1453.53033 Doc. Math. 25, 1571-1652 (2020). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C12 57R30 18G10 58H05 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} et al., Doc. Math. 25, 1571--1652 (2020; Zbl 1453.53033) Full Text: DOI arXiv
Eryüzlü, M.; Kaliszewski, S.; Quigg, John Exact sequences in the enchilada category. (English) Zbl 1452.46053 Theory Appl. Categ. 35, 350-370 (2020); erratum ibid. 38, 432-435 (2022). MSC: 46L55 18B99 PDFBibTeX XMLCite \textit{M. Eryüzlü} et al., Theory Appl. Categ. 35, 350--370 (2020; Zbl 1452.46053) Full Text: arXiv Link
Rodríguez Cirone, Emanuel The loop-stable homotopy category of algebras. (English) Zbl 1433.18010 J. Algebra 555, 157-222 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 18G80 19K35 PDFBibTeX XMLCite \textit{E. Rodríguez Cirone}, J. Algebra 555, 157--222 (2020; Zbl 1433.18010) Full Text: DOI arXiv
Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia Local duality for representations of finite group schemes. Injective modules at closed points. (English) Zbl 1509.16012 Compos. Math. 155, No. 2, 424-453 (2019). MSC: 16G10 14L15 18G80 20C20 20G10 20J06 PDFBibTeX XMLCite \textit{D. Benson} et al., Compos. Math. 155, No. 2, 424--453 (2019; Zbl 1509.16012) Full Text: DOI arXiv
Bunke, Ulrich; Engel, Alexander; Kasprowski, Daniel; Winges, Christoph Coarse homology theories and finite decomposition complexity. (English) Zbl 1515.18006 Algebr. Geom. Topol. 19, No. 6, 3033-3074 (2019). MSC: 18F25 55N35 18G90 PDFBibTeX XMLCite \textit{U. Bunke} et al., Algebr. Geom. Topol. 19, No. 6, 3033--3074 (2019; Zbl 1515.18006) Full Text: DOI arXiv
Fuentes-Keuthan, Daniel; Kędziorek, M.; Rovelli, M. A model structure on prederivators for \((\infty,1)\)-categories. (English) Zbl 1428.18045 Theory Appl. Categ. 34, 1220-1245 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N60 55U35 18N50 18A25 PDFBibTeX XMLCite \textit{D. Fuentes-Keuthan} et al., Theory Appl. Categ. 34, 1220--1245 (2019; Zbl 1428.18045) Full Text: arXiv Link
Knopf, Svenja Acylindrical actions on trees and the Farrell-Jones conjecture. (English) Zbl 1471.18013 Groups Geom. Dyn. 13, No. 2, 633-676 (2019). Reviewer: Stratos Prassidis (Karlovassi) MSC: 18F25 19D35 20F65 20F67 PDFBibTeX XMLCite \textit{S. Knopf}, Groups Geom. Dyn. 13, No. 2, 633--676 (2019; Zbl 1471.18013) Full Text: DOI
Coley, Ian Stabilization of derivators revisited. (English) Zbl 1423.18014 J. Homotopy Relat. Struct. 14, No. 2, 525-577 (2019). Reviewer: Philippe Gaucher (Paris) MSC: 18D05 55U35 PDFBibTeX XMLCite \textit{I. Coley}, J. Homotopy Relat. Struct. 14, No. 2, 525--577 (2019; Zbl 1423.18014) Full Text: DOI arXiv
Harris, Tom; Köck, Bernhard Two formulae for exterior power operations on higher \(K\)-groups. (English) Zbl 1423.13092 J. Pure Appl. Algebra 223, No. 11, 4925-4936 (2019). Reviewer: Jason Polak (Montreal) MSC: 13D15 19E08 19D99 18F25 20C30 PDFBibTeX XMLCite \textit{T. Harris} and \textit{B. Köck}, J. Pure Appl. Algebra 223, No. 11, 4925--4936 (2019; Zbl 1423.13092) Full Text: DOI arXiv
Fiore, Thomas M.; Pieper, Malte Waldhausen additivity: classical and quasicategorical. (English) Zbl 1423.19002 J. Homotopy Relat. Struct. 14, No. 1, 109-197 (2019). Reviewer: Julie Bergner (Riverside) MSC: 19D10 55U10 55U40 18G30 PDFBibTeX XMLCite \textit{T. M. Fiore} and \textit{M. Pieper}, J. Homotopy Relat. Struct. 14, No. 1, 109--197 (2019; Zbl 1423.19002) Full Text: DOI arXiv
Lehalleur, Simon Pepin Triangulated categories of relative 1-motives. (English) Zbl 1422.18012 Adv. Math. 347, 473-596 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 18E30 14F05 PDFBibTeX XMLCite \textit{S. P. Lehalleur}, Adv. Math. 347, 473--596 (2019; Zbl 1422.18012) Full Text: DOI arXiv
Bunke, Ulrich A regulator for smooth manifolds and an index theorem. (English) Zbl 1426.19001 J. Noncommut. Geom. 12, No. 4, 1293-1340 (2018). MSC: 19D55 18F25 PDFBibTeX XMLCite \textit{U. Bunke}, J. Noncommut. Geom. 12, No. 4, 1293--1340 (2018; Zbl 1426.19001) Full Text: DOI arXiv
Touzé, Antoine Computations and applications of some homological constants for polynomial representations of \(\mathrm{GL}_n\). (English) Zbl 1436.20087 Leuschke, Graham J. (ed.) et al., Representations of algebras. 17th workshop and international conference on representations of algebras (ICRA 2016), Syracuse University, Syracuse, NY, USA, August 10–19, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 705, 263-281 (2018). MSC: 20G10 18G15 20G05 20J05 PDFBibTeX XMLCite \textit{A. Touzé}, Contemp. Math. 705, 263--281 (2018; Zbl 1436.20087) Full Text: DOI
Neeman, Amnon Separable monoids in \(\mathbf D_{qc}(X)\). (English) Zbl 1407.18012 J. Reine Angew. Math. 738, 237-280 (2018). Reviewer: Alexander Zimmermann (Amiens) MSC: 18E30 14F05 PDFBibTeX XMLCite \textit{A. Neeman}, J. Reine Angew. Math. 738, 237--280 (2018; Zbl 1407.18012) Full Text: DOI
Brandenburg, Martin Operations on categories of modules are given by Schur functors. (English) Zbl 1403.13022 Appl. Categ. Struct. 26, No. 2, 287-308 (2018). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13C60 16D90 18A22 18A25 18D05 PDFBibTeX XMLCite \textit{M. Brandenburg}, Appl. Categ. Struct. 26, No. 2, 287--308 (2018; Zbl 1403.13022) Full Text: DOI arXiv
Hall, Jack; Rydh, David Addendum to: “Étale dévissage, descent and pushouts of stacks”. (English) Zbl 1441.14006 J. Algebra 498, 398-412 (2018). MSC: 14A20 14F20 18A30 18F20 PDFBibTeX XMLCite \textit{J. Hall} and \textit{D. Rydh}, J. Algebra 498, 398--412 (2018; Zbl 1441.14006) Full Text: DOI arXiv
Tabuada, Gonçalo; Van den Bergh, Michel The Gysin triangle via localization and \(A^1\)-homotopy invariance. (English) Zbl 1387.14018 Trans. Am. Math. Soc. 370, No. 1, 421-446 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14C15 14F42 18D20 19D55 PDFBibTeX XMLCite \textit{G. Tabuada} and \textit{M. Van den Bergh}, Trans. Am. Math. Soc. 370, No. 1, 421--446 (2018; Zbl 1387.14018) Full Text: DOI arXiv
Hall, Jack; Rydh, David Perfect complexes on algebraic stacks. (English) Zbl 1390.14057 Compos. Math. 153, No. 11, 2318-2367 (2017). Reviewer: Pieter Belmans (Bonn) MSC: 14F05 13D09 14A20 18E30 PDFBibTeX XMLCite \textit{J. Hall} and \textit{D. Rydh}, Compos. Math. 153, No. 11, 2318--2367 (2017; Zbl 1390.14057) Full Text: DOI arXiv
Balmer, Paul; Zhang, John Affine space over triangulated categories: a further invitation to Grothendieck derivators. (English) Zbl 1369.18006 J. Pure Appl. Algebra 221, No. 7, 1560-1564 (2017). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18E30 PDFBibTeX XMLCite \textit{P. Balmer} and \textit{J. Zhang}, J. Pure Appl. Algebra 221, No. 7, 1560--1564 (2017; Zbl 1369.18006) Full Text: DOI arXiv