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Pellarin, Federico
From the Carlitz exponential to Drinfeld modular forms. (English) Zbl 07326605
Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). Lecture Notes in Mathematics 2275, 93-177 (2021).
MSC:  11G09 11F52
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\textit{F. Pellarin}, Lect. Notes Math. 2275, 93--177 (2021; Zbl 07326605)
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Caro, Daniel
Some elements on Berthelot’s arithmetic \(\mathscr{D}\)-modules. (English) Zbl 07326602
Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer (ISBN 978-3-030-66248-6/pbk; 978-3-030-66249-3/ebook). Lecture Notes in Mathematics 2275, 1-28 (2021).
MSC:  14F10 14F30 14-01
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\textit{D. Caro}, Lect. Notes Math. 2275, 1--28 (2021; Zbl 07326602)
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Costa, Edgar; Kedlaya, Kiran S.; Roe, David
Hypergeometric \(L\)-functions in average polynomial time. (English) Zbl 07319965
Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 143-159 (2020).
MSC:  11Y16 33C20 11G09 11M38 11T24
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\textit{E. Costa} et al., Open Book Ser. 4, 143--159 (2020; Zbl 07319965)
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Thakur, Dinesh S.
Multizeta in function field arithmetic. (English) Zbl 1441.11222
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 441-452 (2020).
MSC:  11M32 11G09 11R58 11M38
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\textit{D. S. Thakur}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 441--452 (2020; Zbl 1441.11222)
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Taelman, Lenny
1-\(t\)-motifs. (English) Zbl 1441.11151
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 417-439 (2020).
MSC:  11G09 11-02 14A20 11J93 11M38
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\textit{L. Taelman}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 417--439 (2020; Zbl 1441.11151)
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Bandini, Andrea; Bars, Francesc; Longhi, Ignazio
Aspects of Iwasawa theory over function fields. (English) Zbl 1454.11199
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 375-416 (2020).
Reviewer: Thong Nguyen Quang Do (Besançon)
MSC:  11R23 11G09 11G05 11R58 11G40
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\textit{A. Bandini} et al., in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 375--416 (2020; Zbl 1454.11199)
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Thakur, Dinesh S.
Automata methods in transcendence. (English) Zbl 1441.11052
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 351-372 (2020).
MSC:  11B85 11G09 11J81 68Q45 11J91
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\textit{D. S. Thakur}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 351--372 (2020; Zbl 1441.11052)
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Chang, Chieh-Yu
Frobenius difference equations and difference Galois groups. (English) Zbl 1440.11098
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 261-295 (2020).
MSC:  11G09 11J93 11R58 11J81 11J91
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\textit{C.-Y. Chang}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 261--295 (2020; Zbl 1440.11098)
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Hartl, Urs; Kim, Wansu
Local shtukas, Hodge-Pink structures and Galois representations. (English) Zbl 1440.14113
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 183-259 (2020).
MSC:  14F30 14C30 11F70 14G20 14G35 11G09
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\textit{U. Hartl} and \textit{W. Kim}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 183--259 (2020; Zbl 1440.14113)
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Hartl, Urs; Juschka, Ann-Kristin
Pink’s theory of Hodge structures and the Hodge conjecture over function fields. (English) Zbl 1451.14013
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 31-182 (2020).
MSC:  14C15 14C30 11G09 11J93 11R58 13A35
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\textit{U. Hartl} and \textit{A.-K. Juschka}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 31--182 (2020; Zbl 1451.14013)
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Brownawell, W. Dale; Papanikolas, Matthew A.
A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. (English) Zbl 1440.14020
Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 3-30 (2020).
MSC:  14C15 14C30 11G09 11R58 14-01
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\textit{W. D. Brownawell} and \textit{M. A. Papanikolas}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 3--30 (2020; Zbl 1440.14020)
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Iritani, Hiroshi
Quantum D-modules of toric varieties and oscillatory integrals. (English) Zbl 1440.14190
Ji, Lizhen (ed.) et al., Handbook for mirror symmetry of Calabi-Yau and Fano manifolds. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 47, 131-147 (2020).
MSC:  14J33 14F10 14M25 14-02
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\textit{H. Iritani}, in: Handbook for mirror symmetry of Calabi-Yau and Fano manifolds. Selected papers based on the presentations at the conference, Taipei, Taiwan, January 06--10, 2014. Somerville, MA: International Press; Beijing: Higher Education Press. 131--147 (2020; Zbl 1440.14190)
Martín-Morales, Jorge; Mourtada, Hussein; Veys, Willem; Vos, Lena
Note on the monodromy conjecture for a space monomial curve with a plane semigroup. (Note sur la conjecture de la monodromie pour une courbe d’espace monomiale dont le semi-groupe est celui d’une branche plane.) (English. French summary) Zbl 1440.14046
C. R., Math., Acad. Sci. Paris 358, No. 2, 177-187 (2020).
MSC:  14D05 14H50 14G10 14E15 14E18 14H20 14J17 32S40
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\textit{J. Martín-Morales} et al., C. R., Math., Acad. Sci. Paris 358, No. 2, 177--187 (2020; Zbl 1440.14046)
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Khalfoun, Hafedh; Laraiedh, Ismail
The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology. (Opérateurs différentiels linéaires \(\mathfrak{n}(1|N)\)-invariants et cohomology \(\mathfrak{n}(1|N)\)-relative.) (English) Zbl 07226758
C. R., Math., Acad. Sci. Paris 358, No. 1, 45-58 (2020).
MSC:  53D55 14F10 17B10 17B68
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\textit{H. Khalfoun} and \textit{I. Laraiedh}, C. R., Math., Acad. Sci. Paris 358, No. 1, 45--58 (2020; Zbl 07226758)
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Mano, Toshiyuki
Potential vector fields and isomonodromic tau functions in terms of flat coordinates. (English) Zbl 1450.34067
Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 327-342 (2020).
Reviewer: Dmitry Artamonov (Moskva)
MSC:  34M55 34M56 33E17 32S40
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\textit{T. Mano}, in: Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2--15, 2018. Berlin: De Gruyter. 327--342 (2020; Zbl 1450.34067)
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Narváez Macarro, Luis
Hasse-Schmidt derivations versus classical derivations. (English) Zbl 1436.14039
Castro-Jiménez, Francisco-Jesús (ed.) et al., A panorama of singularities. A panorama on singular varieties. Conference to celebrate Lê Dũng Tráng’s 70th birthday, University of Seville, IMUS, Spain, February 7–10, 2017. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 742, 157-179 (2020).
MSC:  14F10 13N10 13N15
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\textit{L. Narváez Macarro}, Contemp. Math. 742, 157--179 (2020; Zbl 1436.14039)
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Dimca, Alexandru; Sticlaru, Gabriel
Computing Milnor fiber monodromy for some projective hypersurfaces. (English) Zbl 1447.32044
Castro-Jiménez, Francisco-Jesús (ed.) et al., A panorama of singularities. A panorama on singular varieties. Conference to celebrate Lê Dũng Tráng’s 70th birthday, University of Seville, IMUS, Spain, February 7–10, 2017. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 742, 31-52 (2020).
Reviewer: Piotr Pokora (Kraków)
MSC:  32S40 32S22 32S55
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\textit{A. Dimca} and \textit{G. Sticlaru}, Contemp. Math. 742, 31--52 (2020; Zbl 1447.32044)
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André, Yves; Baldassarri, Francesco; Cailotto, Maurizio
De Rham cohomology of differential modules on algebraic varieties. 2nd revised edition. (English) Zbl 1437.14029
Progress in Mathematics 189. Cham: Birkhäuser (ISBN 978-3-030-39718-0/hbk; 978-3-030-39719-7/ebook). xiv, 241 p. (2020).
MSC:  14F40 14F10 14-02 13N05 32S40
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\textit{Y. André} et al., De Rham cohomology of differential modules on algebraic varieties. 2nd revised edition. Cham: Birkhäuser (2020; Zbl 1437.14029)
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Böckle, Gebhard (ed.); Goss, David (ed.); Hartl, Urs (ed.); Papanikolas, Matthew (ed.)
\(t\)-motives: Hodge structures, transcendence and other motivic aspects. (English) Zbl 1441.14003
EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-198-9/hbk; 978-3-03719-698-4/ebook). xi, 461 p. (2020).
MSC:  14-06 11-06 14C15 14C30 11G09 11J93 11R58 13A35 00B15
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\textit{G. Böckle} (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS) (2020; Zbl 1441.14003)
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