George Raptis


Home Research Teaching

                                       Publications                  Lecture courses

                                      Preprints                          Seminars

                                      Conferences                      Supervision



Preprints

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


     with C. Löh and M. Moraschini
     arXiv (2021). Submitted.

27. Amenability and acyclicity in bounded cohomology theory


     with M. Moraschini
     arXiv (2021). Submitted.

26. Bounded cohomology and homotopy colimits


     arXiv (2021). Submitted.

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


     with H. K. Nguyen and C. Schrade
     arXiv (2021). Submitted.

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


     arXiv (2019). Submitted.

23. Dévissage for Waldhausen K-theory


     arXiv (2018). Submitted.





Miscellaneous Writings


• 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


• 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

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

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

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

• Bavarian Geometry & Topology Meeting III
  Regensburg, July 11-12, 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
  December 5-9, 2016, Kastell Windsor (Regensburg)
  with U. Bunke, M. Land and N. Naumann

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

Publications

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


     Math. Z. 297 (2020), no. 1, 729-745. [published] (open access), [arXiv].

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


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

20. On the h-cobordism category. I


     with W. Steimle
     Int. Math. Res. Not. (2019), rnz329. [arXiv].

19. Adjoint functor theorems for ∞-categories


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

18. Some characterizations of acyclic maps


     J. Homotopy Relat. Struct. 14 (2019), no.3, 773-785 [arXiv] [final version]

17. A cobordism model for Waldhausen K-theory


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

16. Model topoi and motivic homotopy theory


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

15. A remark on configuration spaces of two points


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

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


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

13. The realization space of an unstable coalgebra


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

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


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

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


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

10. K -theory of derivators revisited


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

9. The accessibility rank of weak equivalences


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

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


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

6. Simplicial presheaves of coalgebras


     Algebr. Geom. Topol. 13 (2013), 1967-2000. [arXiv]

5. A note on K-theory and triangulated derivators


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

4. Some remarks on configuration spaces


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

3. Homotopy theory of posets


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

2. On a conjecture by J.H. Smith


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

1. On the cofibrant generation of model categories


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