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Luiz Felipe Garcia
Luiz Felipe Garcia
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I am reading the three texts on condensed mathematics by Scholze and Clausen. I am also interested in paper "A $p$-adic 6-functor formalism in rigid-analytic geometry" by Lucas Mann.

To advance in the texts I will have to learn about derived categories and later about $\infty$-categories. In these texts the authors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on derived categories using $\infty$-categories rather than just triangulated categories (that don't require me to study the entirety of higher topos theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-categories is necessary to read the three condensed texts? What is a good reference for it?

I am reading the three texts on condensed mathematics by Scholze and Clausen. I also interested in paper "A $p$-adic 6-functor formalism in rigid-analytic geometry" by Lucas Mann.

To advance in the texts I will have to learn about derived categories and later about $\infty$-categories. In these texts the authors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on derived categories using $\infty$-categories rather than just triangulated categories (that don't require me to study the entirety of higher topos theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-categories is necessary to read the three condensed texts? What is a good reference for it?

I am reading the three texts on condensed mathematics by Scholze and Clausen. I am also interested in paper "A $p$-adic 6-functor formalism in rigid-analytic geometry" by Lucas Mann.

To advance in the texts I will have to learn about derived categories and later about $\infty$-categories. In these texts the authors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on derived categories using $\infty$-categories rather than just triangulated categories (that don't require me to study the entirety of higher topos theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-categories is necessary to read the three condensed texts? What is a good reference for it?

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YCor
YCor
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Derived Categoriescategories and $\infty$-Categoriescategories necessary for Condensed Mathematicscondensed mathematics

I am reading the three texts on Condensed Mathematicscondensed mathematics by Scholze and Clausen. I also interested in paper "A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry""A $p$-adic 6-functor formalism in rigid-analytic geometry" by Lucas Mann.

To advance in thethe texts I will have to learn about Derived Categoriesderived categories and later about $\infty$-Categoriescategories. In these texts the autorsauthors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on Derived Categoriesderived categories using $\infty$-Categoriescategories rather than just Triangulated Categoriestriangulated categories (that don't require me to study the entirety of Higher Topos Theoryhigher topos theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-Categoriescategories is necessary to read the three condensed texts? What is a good reference for it?

Derived Categories and $\infty$-Categories necessary for Condensed Mathematics

I am reading the three texts on Condensed Mathematics by Scholze and Clausen. I also interested in paper "A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry" by Lucas Mann.

To advance in the texts I will have to learn about Derived Categories and later about $\infty$-Categories. In these texts the autors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on Derived Categories using $\infty$-Categories rather than just Triangulated Categories (that don't require me to study the entirety of Higher Topos Theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-Categories is necessary to read the three condensed texts? What is a good reference for it?

Derived categories and $\infty$-categories necessary for condensed mathematics

I am reading the three texts on condensed mathematics by Scholze and Clausen. I also interested in paper "A $p$-adic 6-functor formalism in rigid-analytic geometry" by Lucas Mann.

To advance in the texts I will have to learn about derived categories and later about $\infty$-categories. In these texts the authors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on derived categories using $\infty$-categories rather than just triangulated categories (that don't require me to study the entirety of higher topos theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-categories is necessary to read the three condensed texts? What is a good reference for it?

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Luiz Felipe Garcia
Luiz Felipe Garcia
  • 1.5k
  • 7
  • 17

Derived Categories and $\infty$-Categories necessary for Condensed Mathematics

I am reading the three texts on Condensed Mathematics by Scholze and Clausen. I also interested in paper "A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry" by Lucas Mann.

To advance in the texts I will have to learn about Derived Categories and later about $\infty$-Categories. In these texts the autors treat $\mathcal{D(A)}$ as a $\infty$-category.

Is there a text on Derived Categories using $\infty$-Categories rather than just Triangulated Categories (that don't require me to study the entirety of Higher Topos Theory to read it)? It is necessary for me to know the construction using triangulated categories first? How much of $\infty$-Categories is necessary to read the three condensed texts? What is a good reference for it?