Browsing NTNU Open by Author "Barthel, Tobias"

Now showing items 1-6 of 6

    • The E_2-term of the K(n)-local E_n-Adams spectral sequence 

      Heard, Drew Kenneth; Barthel, Tobias (Peer reviewed; Journal article, 2016)
      Let E=Enbe Morava E-theory of height n. In[8]Devinatz and Hopkins introduced the K(n)-local En-Adams spectral sequence and showed that, under certain conditions, the E2-term of this spectral sequence can be identified with ...

    • Local Gorenstein duality for cochains on spaces 

      Heard, Drew Kenneth; Barthel, Tobias; Castellana, Natalia; Valenzuela, Gabriel (Peer reviewed; Journal article, 2021)
      We investigate when a commutative ring spectrum R satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to do this, we prove an ascent theorem for local ...

    • On conjectures of Hovey–Strickland and Chai 

      Barthel, Tobias; Heard, Drew Kenneth; Naumann, Niko (Peer reviewed; Journal article, 2022)
      We prove the height two case of a conjecture of Hovey and Strickland that provides a K(n)-local analogue of the Hopkins–Smith thick subcategory theorem. Our approach first reduces the general conjecture to a problem in ...

    • On stratification for spaces with Noetherian mod p cohomology 

      Barthel, Tobias; Castellana, Natalia; Heard, Drew Kenneth; Valenzuela, Gabriel (Peer reviewed; Journal article, 2022)
      Let $X$ be a topological space with Noetherian mod $p$ cohomology and let $C^*(X;\Bbb{F}_p)$ be the commutative ring spectrum of $\Bbb{F}_p$-valued cochains on $X$. The goal of this paper is to exhibit conditions under ...

    • Stratification and the comparison between homological and tensor triangular support 

      Barthel, Tobias; Heard, Drew Kenneth; Sanders, Beren (Peer reviewed; Journal article, 2023)
      We compare the homological support and tensor triangular support for ‘big’ objects in a rigidly-compactly generated tensor triangulated category. We prove that the comparison map from the homological spectrum to the tensor ...

    • Stratification in tensor triangular geometry with applications to spectral Mackey functors 

      Barthel, Tobias; Heard, Drew Kenneth; Sanders, Beren (Peer reviewed; Journal article, 2023)