Xin Tong

activity

20232025

collaborators

Showing math.AGShow all

5 papers · 1 filter

math.AG2024

$(\infty, \infty)$ -Categorical Universal Motives

Xin Tong

Ever since the introduction of motivic homotopy theory, as a well-proposed approximation of Grothendieck's dream, algebraic geometers then have the chance to study schemes via a ho…

math.AG2024

Generalized Motives through Witt Vectors

Xin Tong

We generalize condensed motives, through Witt vectors and the associated moduli stacks of generalized line bundles.

math.AG2024

Topologization and Functional Analytification III

Xin Tong

In this paper, we continue our study on the topologization and functional analytification in $\infty$ -categorical and homotopical analytic geometry. As in our previous articles on…

math.AG2024

Arithmetic Hodge-Iwasawa Moduli Stacks

Xin Tong

In this article, we are going to construct arithmetic moduli stacks of $G$ -bundles after our previous construction on Hodge-Iwasawa theory. These stacks parametrize certain Hodge-I…

math.AG2023

$\infty$ -Categorical Approaches to Hodge-Iwasawa Theory II: $\infty$ -Categorical and Derived Hodge-Iwasawa Modules

Xin Tong

This paper is a discussion on $\infty$ -categorical approaches to Hodge-Iwasawa Theory, which was initiated in our project on the $\infty$ -categorical approaches to Hodge-Iwasawa Th…

(∞,∞)-Categorical Universal Motives

Generalized Motives through Witt Vectors

Topologization and Functional Analytification III

Arithmetic Hodge-Iwasawa Moduli Stacks

∞-Categorical Approaches to Hodge-Iwasawa Theory II: ∞-Categorical and Derived Hodge-Iwasawa Modules

$(\infty, \infty)$ -Categorical Universal Motives

$\infty$ -Categorical Approaches to Hodge-Iwasawa Theory II: $\infty$ -Categorical and Derived Hodge-Iwasawa Modules