George Raptis


Home Research Teaching



Preprints

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


    arXiv (2019). Submitted.

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


    arXiv (2019). Submitted.

22. Dévissage for Waldhausen K-theory


    arXiv (2018). Submitted.








Miscellaneous Notes

• A proof of the Gillet-Waldhausen theorem

(2018). [pdf]

• A remark on the Strøm model category

(2018). [pdf]

• Seminar Notes on ∞ -topoi

(2017). [pdf]

• When is a derivator representable?

(2014). [pdf]





Organization of Conferences

• 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 (outside of Regensburg)
with U. Bunke, M. Land and N. Naumann

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

Publications

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

with W. Steimle
    arXiv (2019). To appear in Proc. AMS

20. On the h-cobordism category. I

with W. Steimle
    arXiv (2018). To appear in Int. Math. Res. Not.

19. Adjoint functor theorems for ∞ -categories

with H. K. Nguyen and C. Schrade
    arXiv (2018). To appear in J. London Math. Soc.

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]

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]
    For an Erratum see here.