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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
Pages
Posts
Around Fontaine’s Period Rings
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‘I live my life in widening rings…’
Hensel’s Proof of the Transcendence of e
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In 1905, Hensel provided the following proof about the transcendence of \(e\).
The linear algebra of Page-Rank
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The linear algebra of google Page-Rank algorithm is essentially a fixed point formula. Let me sketch how it works. This is an interesting application of linear algebra, graph theory and probability.
Serre-Tate for 1-motives
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This post is an overview of the article arXiv:1704.01340 written with A. Bertapelle.
From Poincaré’s Lemma to Volterra’s Theorem
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‘A Forgotten Turning‑Point in the History of Differential Forms from this paper of Hans Samelson ‘
cv
portfolio
Introduction to the Grothendieck fundamental group Permalink
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PhD seminar at math uniPD
Almost Xmas Seminar
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One day workshop on the almost purity theorem of P. Scholze.
Jury de thèse: Arthur Laurent
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Jury member for PhD thesis ‘Autour des nombres de Tamagawa’, Bordeaux.
Pietro Gatti Permalink
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Mémoire de M2: The Néron-Ogg-Shafarevich criterion. Bordeaux-ALGANT.
GDT Variétés de Shimura, Bordeaux
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Organized a semester-long GDT on Shimura Varieties at IMB, Bordeaux.
Séminaire de théorie des nombres de Bordeaux
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Weekly number theory seminar in Bordeaux (2015–2018).
Summer school on Perfectoid Spaces
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Co-organized with F. Andreatta, B. Chiarellotto, and M. Longo in Bressanone.
Mémoire de M2: A. Toledo
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The infinitesimal site (ALGANT).
Workshop on special values of L-functions
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Organized a 3-day workshop in Bordeaux with D. Benois.
An introduction to formal geometry Permalink
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Théorèmes d’Algébrisation 2016 - JAVA
Visiting Professor, UES El Salvador
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1 month visit as Visiting Professor at UES El Salvador.
Visiting Researcher, Università di Padova
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6-month research stay at Dipartimento di Matematica, Università di Padova.
GDT Cohomologie syntomique et systèmes d’Euler
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Semester-long GDT in Bordeaux with D. Benois.
Mémoire de M2: Abhinadan
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p-adic Galois representations and elliptic curves (ALGANT).
On p-adic periods Permalink
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GDT Euler systems
Mémoire de M2: O. Nezer
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A functorial approach to Lubin–Tate theory.
Visiting Professor, Università di Verona
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1 month at Department of Computer Science, Università di Verona.
Ph.D: Davide Marangoni
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On derived de Rham cohomology, with B. Morin and F. Andreatta (cotutelle Bordeaux-Milan).
Ph.D: Abhinandan
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On syntomic cohomology and special values, with D. Benois (Bordeaux).
Jury de thèse: Abhinandan
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Jury member for PhD thesis ‘Finite height representations and syntomic complex’, Bordeaux.
Around p-adic cohomologies
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Organized in Padova, September 2022.
Festival Fregona Borghi Natura Permalink
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Incontro con l’autore: La geometria delle immagini impossibili.
People of Math Permalink
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Producer
GDL: The Fargues-Fontaine curve Permalink
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Padova 2024/25, with Lorenzo La Porta and Andrea Marrama.
Khai-Hoan Nguyen-Dang
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Ph.D thesis: On p-adic uniformization of abelian varieties. With A. Iovita. University of Padova
Benjamin Jeffers Permalink
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Master’s thesis: Canonical Lifts of Elliptic Curves Through Witt Vectors</i>. (UniPD-ALGANT)
Asier Zubizarreta Albizu
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Master’s thesis: The étale fundamental group and applications. (UniPD-ALGANT)
Davide Alemanno
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Master’s thesis: The Fargues-Fontaine factorization theorem. (UniPD)
Giovanni Gottin
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BSc’s thesis: A Quantitative SICR Approach to IFRS 9 Staging. (HFARM-Chichester)
Portfolio item number 1
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Short description of portfolio item number 1
Portfolio item number 2
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Short description of portfolio item number 2
publications
Cohomological dimension of Laumon 1-motives up to isogenies
Published in Journal de Théorie des Nombres de Bordeaux 22 (3): 719–726, 2010
Recommended citation: N. Mazzari (2010). "Cohomological dimension of Laumon 1-motives up to isogenies." Journal de Théorie des Nombres de Bordeaux, 22 (3), 719–726.
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Extensions of formal Hodge structures
Published in Communications in Algebra 39 (4): 1372–1393, 2011
Recommended citation: N. Mazzari (2011). "Extensions of formal Hodge structures." Communications in Algebra, 39 (4), 1372–1393.
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Cycle classes and the syntomic regulator
Published in Algebra & Number Theory 7 (3): 533–566, 2013
Recommended citation: B. Chiarellotto, A. Ciccioni & N. Mazzari (2013). "Cycle classes and the syntomic regulator." Algebra & Number Theory, 7 (3), 533–566.
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The rigid syntomic ring spectrum
Published in Journal of the Institute of Mathematics of Jussieu 14 (4): 753–799, 2015
Recommended citation: F. Déglise & N. Mazzari (2015). "The rigid syntomic ring spectrum." Journal of the Institute of Mathematics of Jussieu, 14 (4), 753–799.
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On deformations of 1-motives
Published in Canadian Mathematical Bulletin 62 (1): 11–22, 2019
Recommended citation: A. Bertapelle & N. Mazzari (2019). "On deformations of 1-motives." Canadian Mathematical Bulletin, 62 (1), 11–22.
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The filtered Ogus realisation of motives
Published in Journal of Algebra 527: 348–365, 2019
Recommended citation: B. Chiarellotto, C. Lazda & N. Mazzari (2019). "The filtered Ogus realisation of motives." Journal of Algebra, 527, 348–365.
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The Fontaine–Ogus realization of Laumon 1-motives
Published in Communications in Algebra 48 (1): 299–306, 2019
Recommended citation: N. Mazzari (2019). "The Fontaine–Ogus realization of Laumon 1-motives." Communications in Algebra, 48 (1), 299–306.
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An introduction to Perfectoid Spaces
Published in In An Excursion into p-adic Hodge Theory, Panoramas & Synthèses 54, SMF, 207–265, 2019
Recommended citation: O. Brinon, F. Andreatta, R. Brasca, B. Chiarellotto, N. Mazzari, S. Panozzo & M. A. Seveso (2019). "An introduction to Perfectoid Spaces." In An Excursion into p-adic Hodge Theory: from foundations to recent trends, pp. 207–265.
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Extensions of filtered Ogus structures
Published in Applied Categorical Structures 28 (1): 143–148, 2020
Recommended citation: B. Chiarellotto & N. Mazzari (2020). "Extensions of filtered Ogus structures." Applied Categorical Structures, 28 (1), 143–148.
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On log differentials of local fields
Published in Rendiconti del Seminario Matematico della Università di Padova 145: 207–212, 2021
Recommended citation: N. Mazzari (2021). "On log differentials of local fields." Rendiconti del Seminario Matematico della Università di Padova, 145, 207–212.
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Canonical Witt formal schemes extensions and p-torsion groups
Published in Annali di Matematica Pura e Applicata 202, (2023): 2313-2332, 2023
Recommended citation: A. Bertapelle & N. Mazzari & A. Saha (2023). "Canonical Witt formal schemes extensions and p-torsion groups." Annali di Matematica Pura e Applicata, (202) 2313-2332.
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A Conjecture of Flach and Morin
Published in Journal of Number Theory 264 (2024): 27–40, 2024
Recommended citation: B. Chiarellotto, N. Mazzari & Y. Nakada (2024). "A Conjecture of Flach and Morin." Journal of Number Theory, 264, 27–40.
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Multivariable de Rham representations, Sen theory, and p-adic differential operators
Published in Mathematical Research Letters, Vol. 31 (2024) n.1, p. 25-90, 2024
Recommended citation: O. Brinon, B. Chiarellotto & N. Mazzari (2024). "Multivariable de Rham representations, Sen theory, and p-adic differential operators." Mathematical Research Letters, Vol. 31 n.1, p. 25-90.
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talks
Sur la cohomologie syntomique rigide Permalink
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Formule de Picard-Lefschetz Permalink
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
Motives and rigid syntomic cohomology Permalink
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Algebraic and formal geometry Permalink
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