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Marc Hoyois

Regensburg, Germany

http://www.mathematik.ur.de/hoyois/

I'm a professor of mathematics at the University of Regensburg.

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39
Is the fundamental group functor a left-adjoint?
mathoverflow.net

25
Why is the motivic category defined over the site of smooth schemes only?
mathoverflow.net

21
Voevodsky's six functor formalism VS Lucas Mann's
mathoverflow.net

20
When is a topological space the homotopy colimit of an open covering?
mathoverflow.net

19
Which limits commute with filtered colimits in the category of sets?
mathoverflow.net

18
Category of motivic spectra
mathoverflow.net

17
Is the $\infty$-topos $Sh(X)$ hypercomplete whenever $X$ is a CW complex?
mathoverflow.net

16
Can we define homotopy groups using Tannakian categories
mathoverflow.net

16
$BG$ the stack, $BG$ the simplicial presheaf
mathoverflow.net

16
Does the forgetful functor from presentable $\infty$-categories to $\infty$-categories preserve filtered colimits?
mathoverflow.net

14
Diffeology as a sheaf on the site of smooth manifolds
mathoverflow.net

14
The vanishing of $MGL^{2n+i,n}(X)$; do spectra of smooth projective varieties generate $SH_{l}$?
mathoverflow.net

14
Realization Functor From $SH$ to Derived Category of $Gal$-Modules
mathoverflow.net

14
Perfect chain complexes
mathoverflow.net

14
Sheaves of complexes and complexes of sheaves
mathoverflow.net

13
What is the dual of the stable infinity category of perfect complex on smooth proper variety?
mathoverflow.net

13
If we replace the spectrally ringed space in the definition of a spectral scheme with an arbitrary infinity-topos, what objects do we get?
mathoverflow.net

13
Is the site of (smooth) manifolds hypercomplete?
mathoverflow.net

13
Are there continua in $\infty$-topoi?
mathoverflow.net

13
What's with equivariant homotopy theory over a compact Lie group?
mathoverflow.net

12
Derived version of equivalence between motives and representations of Motivic galois groups?
mathoverflow.net

12
What is the negative cyclic homology of a smooth projective variety?
mathoverflow.net

11
How duality follows from a six functor formalism
mathoverflow.net

11
A Kunneth formula for the etale cohomology of the product of ('simple') varieties over not (necessarily) algebraically closed field
mathoverflow.net

11
Determinantal identities for perfect complexes
mathoverflow.net

10
motivic t-structure and realisations
mathoverflow.net

10
FIltered colimits of truncated objects in $\infty$-topoi
mathoverflow.net

10
Homotopy left-exactness of a left derived functor
mathoverflow.net

10
Tensor products of $\mathbb{E}_\infty$-spaces
mathoverflow.net

10
$2$-fiber product is a scheme then map of stacks is representable
mathoverflow.net

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