MediaWiki API result
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{
"logid": 570,
"ns": 0,
"title": "Purity of Motivic Cohomology in Mixed Characteristic",
"pageid": 356,
"logpage": 356,
"params": {},
"type": "create",
"action": "create",
"user": "Vom41941",
"timestamp": "2026-07-07T11:48:43Z",
"comment": "Created page with \"Motivic cohomology is a cohomology theory that can be defined internally within Grothendieck's category of motives. Voevodsky developed this theory for smooth varieties, demonstrating its deep connections to algebraic cycles and algebraic K-theory. However, its behaviour in mixed characteristic remains less well understood. Building on recent advances by Bachmann, Elmanto, Morrow, and Bouis, in joint work with Bouis we establish a purity result over deeply ramified bases...\""
},
{
"logid": 569,
"ns": 0,
"title": "The Cubes Functor of (\u221e,n)-Categories",
"pageid": 355,
"logpage": 355,
"params": {},
"type": "create",
"action": "create",
"user": "Vom41941",
"timestamp": "2026-06-28T12:46:29Z",
"comment": "Created page with \"The cubes functor is a direction-symmetric functor from n-categories to n-uple categories. In joint work in progress with Shai Keidar, we prove that the cubes functor is fully faithful and identify its essential image, extending recent results in the case n=2. We also consider the non-univalent setting. There, the cubes functor is not fully faithful, but it is both monadic and comonadic, allowing us to describe non-univalent n-categories in terms of non-univalent n-up...\""
},
{
"logid": 568,
"ns": 0,
"title": "The span-squares adjunction",
"pageid": 354,
"logpage": 354,
"params": {},
"type": "create",
"action": "create",
"user": "Wic42659",
"timestamp": "2026-06-05T11:37:48Z",
"comment": "Created page with \"We establish an adjunction between infinity-categories and double infinity-categories, where the left adjoint is the span category construction, viewed as a functor on double infinity-categories. Using this adjunction, we obtain new proofs of the equivalences between different models of algebraic \ud835\udc3e-theory, given by the Q-, the S-, the cobordism model, and the squares construction\""
},
{
"logid": 567,
"ns": 0,
"title": "On the geometrization of synthetic spectra",
"pageid": 353,
"logpage": 353,
"params": {},
"type": "create",
"action": "create",
"user": "Wic42659",
"timestamp": "2026-05-19T09:05:18Z",
"comment": "Created page with \"The category of synthetic spectra is a strong tool for understanding the Adams-Novikov spectral sequence and acts as a 1-parameter deformation between spectra and quasi-coherent sheaves on the moduli stack of formal groups. One perspective on the Adams-Novikov spectral sequence is that it is the descent spectral sequence for the moduli stack of formal groups. In this talk I will present an approach which, to any geometric (non-connective) spectral stack X, produces a cat...\""
},
{
"logid": 566,
"ns": 0,
"title": "Monadic resolutions for (generalized) spaces",
"pageid": 352,
"logpage": 352,
"params": {},
"type": "create",
"action": "create",
"user": "Vom41941",
"timestamp": "2026-05-01T08:00:22Z",
"comment": "Created page with \"Understanding the homotopy type of a space often benefits from studying its values under homology theories. Every homology theory determines a Bousfield localization on the category of spaces \u2014 for example, rational cohomology leads to rationalization, while $F_p$-homology induces $p$-completion. In favorable cases, these localizations admit explicit descriptions via monadic resolutions. A key example is the $p$-completion $L_p X$ of a nilpotent space $X$, which can...\""
},
{
"logid": 565,
"ns": 0,
"title": "Calabi\u2014Yau structures on constructible sheaves categories",
"pageid": 351,
"logpage": 351,
"params": {},
"type": "create",
"action": "create",
"user": "Vom41941",
"timestamp": "2026-04-24T16:48:12Z",
"comment": "Created page with \"For X a compact oriented topological manifold and k a field, Verdier duality on locally constant sheaves of k-modules on X can be encoded in a non-commutative symplectic structure, called Calabi\u2014Yau structure. Brav\u2014Dyckerhoff also introduced a relative notion of such, which allows one to recover Verdier duality for manifolds with boundaries. If now X is equipped with a (nice enough) finite stratification P, we show that there exists a Calabi\u2014Yau structure on the k-...\""
},
{
"logid": 564,
"ns": 0,
"title": "Presenting the stratified homotopy hypothesis",
"pageid": 350,
"logpage": 350,
"params": {},
"type": "create",
"action": "create",
"user": "Vom41941",
"timestamp": "2026-04-17T19:48:52Z",
"comment": "Created page with \"The stratified homotopy hypothesis proclaims an equivalence between a homotopy theory of stratified spaces, and the homotopy theory of such small (infinity,1)-categories in which every endomorphism is an isomorphism. In this talk, after an introduction into the homotopy theory of stratified spaces, I want to talk about an explicit presentation of this proclaimed equivalence in terms of a Quillen equivalence using Lurie\u2019s construction of the infinity-category of exit-pa...\""
},
{
"logid": 563,
"ns": 0,
"title": "Complexes of stable \u221e-categories and higher Segal conditions",
"pageid": 349,
"logpage": 349,
"params": {},
"type": "create",
"action": "create",
"user": "Cid36224",
"timestamp": "2026-04-15T12:38:08Z",
"comment": "Created page with \"Title: Complexes of stable \u221e-categories and higher Segal conditions Abstract: There exists an equivalence of (\u221e,2)-categories between the (\u221e,2)-category of complexes of stable \u221e-categories and that of 2-simplicial stable \u221e-categories, established by Dyckerhoff, which categorifies the classical Dold\u2013Kan correspondence. It is well known that every simplicial abelian group is in particular a Kan complex, i.e. it admits certain horn fillers. In this talk, I will...\""
},
{
"logid": 562,
"ns": 0,
"title": "K-theoretic Poitou-Tate duality & the heart of D^b of locally compact abelian groups",
"pageid": 348,
"logpage": 348,
"params": {},
"type": "create",
"action": "create",
"user": "Wic42659",
"timestamp": "2026-01-22T07:59:55Z",
"comment": "Created page with \"(joint with Fei Ren, Wuppertal University) Number theory part: I will give a little introduction to K-theoretic Artin maps \u00e0 la Clausen and K-theoretic Poitou-Tate duality \u00e0 la Blumberg-Mandell. That's a somewhat new viewpoint on class field theory. Topology part: LCA groups show up as a surprising model for the compactly supported side of said duality, leading to Clausen's cool way to uniformly describe the non-Galois side of class field theory as K_1(LCA_F) for F t...\""
},
{
"logid": 561,
"ns": 0,
"title": "A generalisation of Day convolution for operad-like structures",
"pageid": 347,
"logpage": 347,
"params": {},
"type": "create",
"action": "create",
"user": "Ghd08439",
"timestamp": "2026-01-16T13:24:48Z",
"comment": "Created page with \"A fundamental construction in higher algebra is that of Day convolution. This construction, if it exists, defines an internal hom-object in the \u221e-category of \u221e-operads. In this talk, I will describe an explicit condition for the existence of such internal hom-objects for other operad-like structures. Even in the case of \u221e-operads, our proof is very different from previous constructions. The existence condition we obtain is very similar to the Conduch\u00e9 criterion fo...\""
}
]
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