George Raptis




Preprints

• Flat functors in higher topos theory


   with D. Schäppi
   arXiv (2022). Submitted.

• The simplicial coalgebra of chains under three different notions
   of weak equivalence


   with M. Rivera
   arXiv (2022). Accepted for publication in IMRN.

• Bounded cohomology and homotopy colimits


   arXiv (2021). Submitted.






Miscellaneous Writings


• A roadmap to the (vanishing of the) Euler characteristic


   with C. Löh
   arXiv (2023)    poster version

• Images of the Yoneda lemma : A Rhizome

(2023). [pdf]

• Seminar Notes Topics in Higher Category Theory

(2019/20).

• A proof of the Gillet-Waldhausen theorem

(2018). [pdf]

• A remark on the Strøm model category

(2018). [pdf]

• Seminar notes on -topoi

(2017). [pdf]

• Notes on combinatorial model categories

. [pdf]

• When is a derivator representable?

(2014). [pdf]





Slides of Talks


• What is a stable n-category?

[Slides]
   ItaCa Fest 2022, November 2022.

• Simplicial volumes, bounded cohomology, and Euler characteristics
   of (aspherical) manifolds

[Slides]
   Workshop Cobordisms, Strings, and Thom Spectra
   BIRS-CMO, Oaxaca, 9-14 October 2022.

• Higher homotopy categories and Brown representability

[Slides]
   Algebra Seminar, Masaryk University (Brno), October 2021.

• Higher homotopy categories and K-theory

[Slides]
   Algebraic Topology Seminar, University of Warwick, June 2020.






Organization of Conferences


• CONFERENCE From Analysis to Homotopy Theory
   (in honor of Ulrich Bunke's 60th birthday),
   Greifswald, 13-17 May, 2024 with B. Ammann, T. Nikolaus, K. Waldorf

• WORKSHOP Algebraic K-theory of spaces
   Regensburg, 24-28 July, 2023, with Ch. Winges

Recent Advances in Bounded Cohomology
   Regensburg, 26-30 September 2022, with C. Löh and M. Moraschini

7th Bavarian Geometry & Topology Meeting
   4 December 2020 (online), with C. Scheimbauer

• WORKSHOP Derivators
   Regensburg, 9-12 April 2019, with D.-C. Cisinski

Bavarian Geometry & Topology Meeting III
   Regensburg, 11-12 July 2018, with M. Land

Homotopy Theory Workshop
   Regensburg, 5 May 2018, with J. Noel

Bavarian Geometry & Topology Meeting I
   Regensburg, 23 June 2017, with W. Steimle

• WINTER SCHOOL Bordism, L-theory and real algebraic K-theory
   5-9 December 2016, Kastell Windsor (Regensburg)
   with U. Bunke, M. Land and N. Naumann

• SUMMER SCHOOL Algebraic K-theory and Trace Methods
   Regensburg, 3-7 August 2015, with J. Noel

Publications

27. Amenability and acyclicity in bounded cohomology


     with M. Moraschini
     Rev. Mat. Iberoam. 39 (2023), no. 6, 2371-404. [journal] [arXiv]

26. Dévissage for Waldhausen K-theory


     Annals of K-theory 7 (2022), no. 3, 467-506. [journal] [arXiv]

25. Higher weak (co)limits, adjoint functor theorems, and higher Brown
     representability


      with H. K. Nguyen and C. Schrade
      Doc. Math. 27 (2022), 1369-1420. [journal] [arXiv]

24. On the simplicial volume and the Euler characteristic of (aspherical)
     manifolds


     with C. Löh and M. Moraschini
     Res. Math. Sci. 9, Article no. 44 (2022). [journal] [arXiv]

23. Higher homotopy categories, higher derivators, and K-theory


     Forum of Mathematics, Sigma, 10 (2022), e54. [journal] [arXiv]

22. On the h-cobordism category. I


     with W. Steimle
     Int. Math. Res. Not. 23 (2021), 18118-18148. [journal] [arXiv]

21. On transfer maps in the algebraic K-theory of spaces


     Math. Z. 297 (2021), 729-745. [journal] [arXiv]

20. Topological manifold bundles and the A-theory assembly map


     with W. Steimle
     Proc. Amer. Math. Soc. 148 (2020), 3787-3799. [journal] [arXiv]

19. Adjoint functor theorems for ∞-categories


     with H. K. Nguyen and C. Schrade
     J. London Math. Soc. 101 (2020), no. 2, 659-681. [journal] [arXiv]

18. Some characterizations of acyclic maps


     J. Homotopy Relat. Struct. 14 (2019), 773-785 [journal] [pdf] [arXiv]

17. A cobordism model for Waldhausen K-theory


     with W. Steimle
     J. London Math. Soc. 99 (2019), no. 2, 516-534. [journal] [arXiv]

16. Model topoi and motivic homotopy theory


     with F. Strunk
     Doc. Math. 23 (2018), 1757-1797. [journal] [arXiv]

15. A remark on configuration spaces of two points


     with P. Salvatore
     Proc. Edinburgh Math. Soc. 61 (2018), no. 2, 599-605. [journal] [arXiv]

14. Small presentations of model categories and Vopěnka's principle


     with J. Rosický
     Homology, Homotopy, Appl. 20 (2018), no. 1, 303-328. [journal] [arXiv] [Erratum]

13. The realization space of an unstable coalgebra


     with G. Biedermann and M. Stelzer
     Astérisque 393 (2017). [journal] [arXiv]

12. Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem


     with W. Steimle
     J. Topol. 10 (2017), no. 3, 700-719. [journal] [arXiv]

11. On Serre microfibrations and a lemma of M. Weiss


    Glasg. Math. J. 59 (2017), no. 3, 649-657. [journal] [pdf]

10. K-theory of derivators revisited


     with F. Muro
     Annals of K-theory 2 (2017), no. 2, 303-340. [journal] [arXiv]

9. The accessibility rank of weak equivalences


    with J. Rosický
    Theory Appl. Categ. 30 (2015), no. 19, 687-703. [journal] [arXiv]

8. On the map of Bökstedt-Madsen from the cobordism category to A-theory


    with W. Steimle
    Algebr. Geom. Topol. 14 (2014), no. 1, 299-347. [journal] [arXiv]

7. On the homotopy type of certain cobordism categories of surfaces


    Int. Math. Res. Not. 8 (2014), 2037-2089. [journal] [arXiv]

6. Simplicial presheaves of coalgebras


    Algebr. Geom. Topol. 13 (2013), no. 4, 1967-2000. [journal] [arXiv]

5. A note on K-theory and triangulated derivators


    with F. Muro
    Adv. Math. 227 (2011), no. 5, 1827-1845. [journal] [arXiv]

4. Some remarks on configuration spaces


    Proc. Amer. Math. Soc. 139 (2011), no. 5, 1879-1887. [journal]

3. Homotopy theory of posets


    Homology, Homotopy Appl. 12 (2010), no. 2, 211-230. [journal]

2. On a conjecture by J.H. Smith


    Theory Appl. Categ. Vol. 24 (2010), no. 5, 114-116. [journal]

1. On the cofibrant generation of model categories


   J. Homotopy Relat. Struct. 4 (2009), no. 1, 245-253. [journal] [arXiv]
   An Erratum is contained in [arXiv][journal] (Section 5).