Sanath K. Devalapurkar

activity

20242026

collaborators

6 papers

math.AT2026

The Smith Fiber Sequence and Invertible Field Theories

Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3

Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…

math.AT2025

THH(Z) and the image of J

Sanath K. Devalapurkar, Arpon Raksit

Let $p$ be an odd prime number and $j_{p}$ the $p$ -complete connective image of J spectrum. We establish an equivalence of cyclotomic $E_{\infty}$ -rings $\mathrm{THH}…

math.KT2025

$p$ -typical curves on $p$ -adic Tate twists and de Rham-Witt forms

Sanath K. Devalapurkar, Shubhodip Mondal

We show that de Rham--Witt forms are naturally isomorphic to $p$ -typical curves on $p$ -adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier w…

math.AT2025

Examples of disk algebras

Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $B P$ , its truncated variants $B P ⟨ n ⟩$ , Ravenel's spectra $X (n)$ , and even…

math.RT2024

Chromatic aberrations of geometric Satake over the regular locus

Sanath K. Devalapurkar

Let $G$ be a connected, simply-laced, almost simple algebraic group over $C$ , let $G_{c}$ be a maximal compact subgroup of $G (C)$ , and let $T_{c}$ be a maximal torus…

math.AT2024

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p > 0$

Sanath K. Devalapurkar

The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper $F_{p}$ -schemes $X$ with $dim (X) < p^{n}$ as soon as its category of quasicoherent…

The Smith Fiber Sequence and Invertible Field Theories

THH(Z) and the image of J

p-typical curves on p-adic Tate twists and de Rham-Witt forms

Examples of disk algebras

Chromatic aberrations of geometric Satake over the regular locus

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic p>0

$p$ -typical curves on $p$ -adic Tate twists and de Rham-Witt forms

Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p > 0$