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Combined display of all available logs of SFB1085 - Higher Invariants. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 12:45, 22 November 2025 Cid36224 talk contribs created page The cobordism spectrum of Poincare spaces (Created page with "Abstract: Based on joint work-in-progress with Bianchi, Kirstein, and Kremer, I will introduce a proposed notion of categorical symmetric spectra as well as an enlargement of the category of Poincare categories which we call that of bundled categories. As applications, we construct the commutative ring cobordism spectrum of Poincare spaces equipped with Pontryagin-Thom maps, and give a new proof that K-theory is lax symmetric monoidal. Time permitting, I will also discus...")
• 09:50, 6 November 2025 Cid36224 talk contribs created page Duality for K-theory in motivic homotopy theory (Created page with "There is an action of K-theory on G-theory, as observed by Quillen and later Thomason–Trobaugh. In recent work, Fangzhou Jin internalized this story to SH by constructing a representing object GGL for G-theory in the six functor formalism of KGL-modules in the motivic homotopy category. The object GGL is stable under exceptional pullback and coincides with KGL over any regular base. It is thus reasonable to ask whether GGL is a dualizing object for KGL-modules. For an...")
• 11:14, 24 October 2025 Cid36224 talk contribs created page Nori motivic sheaves as sheaves of Nori motives (Created page with "Classically, the theory of Nori motives provides an unconditional candidate for the conjectural abelian category of mixed motives over a field of characteristic zero. In the last few years, it has been expanded to a theory of Nori motivic sheaves equipped with Grothendieck's six operations. In fact, two natural definitions of Nori motivic sheaves have been proposed: one by Ivorra--Morel (generalizing the universal property of Nori's abelian category), and one by Ayoub (g...")
• 18:51, 9 July 2025 Cid36224 talk contribs created page Unfolding of symmetric monoidal (∞,n)-categories (Created page with "In Lurie's article on the Cobordism Hypothesis, he discusses a description of symmetric monoidal (∞,n)-categories with duals for objects and certain adjoints as "chain complexes" of symmetric monoidal ∞-categories with duals, but does not give a proof. I will discuss an approach to proving this based on a general description of closed symmetric monoidal V-enriched ∞-categories as lax symmetric monoidal functors to V. This is work in progress with Thomas Nikolaus.")
• 17:15, 22 June 2025 Cid36224 talk contribs created page The root functor (Created page with "Operads can be seen as a generalization of categories, where morphisms are allowed to have multiple inputs but still a single output. As oo-categories are designed to model ‘categories-up-to-homotopy’, the formalism of oo-operads serves to model ‘operads-up-to-homotopy’, where composition is defined only up to homotopy and higher coherence laws substitute equalities in the defining axioms.

 Many oo-operads arise from their strict counterparts by a process o...")
• 00:26, 5 February 2025 Cid36224 talk contribs created page Limits of (∞, 1)-categories with Structure & Their Lax Morphisms (Created page with "We study limits of (∞, 1)-categories with structure and the lax morphisms between them by introducing the notion of enhanced simplicial categories. We establish that many interesting enhanced simplicial categories, including that of (∞, 1)-categories with limits, and that of (discrete) Cartesian fibrations between (∞, 1)-categories, admit several kinds of limits that involve lax morphisms in the diagrams, such as Eilenberg-Moore objects over monads that are lax mor...")
• 16:11, 22 November 2024 Cid36224 talk contribs created page Proof of the Deligne-Milnor conjecture (Created page with "Let X be a scheme over a trait S. Under suitable assumptions, Spencer Bloch conjectured a formula (the Bloch conductor formula) which expresses the total dimension of vanishin...")
• 19:04, 8 October 2024 Cid36224 talk contribs created page Purity for Algebraic Stacks (Created page with " In previous works, Khan-Ravi and Chowdhury constructed the "Borel" motivic homotopy category for a broad class of algebraic stacks. In a joint paper with C. Chowdhury, we pre...")
• 19:27, 23 September 2024 Cid36224 talk contribs created page (∞,2)-Topoi and descent (Created page with "'''(∞,2)-Topoi and descent'''. (j. w. Louis Martini) The goal of this talk is to introduce the notion of a Grothendieck (∞,2)-topos as a presentable (∞,2)-category sati...")
• 22:10, 17 June 2024 Cid36224 talk contribs created page Categorical Künneth formulas (Created page with "Categorical Künneth formulas Abstract: I discuss ongoing work aimed at establishing Künneth formulas for motives at a categorical level.")
• 07:51, 3 June 2024 Cid36224 talk contribs created page Étale motives of geometric origin (Created page with "  In "Étale motives", Cisinski and Déglise defined two finiteness conditions on étale motives: motives that come from geometry and motives that are dualisable over a st...")
• 18:14, 5 May 2024 Cid36224 talk contribs created page Animated λ-rings and Frobenius lifts (Created page with "In this talk, I will present an intrinsically infinity-categorical description of animated λ-rings in terms of Frobenius lifts. Animated λ-rings provide an integral version...")
• 08:32, 24 January 2024 Cid36224 talk contribs created page Chow-Lefschetz motives (Created page with "'''Chow-Lefschetz motives''' Summary: We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed...")
• 21:21, 6 December 2023 Cid36224 talk contribs created page Motivic cohomology of mixed characteristic schemes (Created page with "I will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In...")
• 22:25, 30 June 2023 Cid36224 talk contribs created page On the category of localizing motives (Created page with "Abstract: I will give an overview of my recent results on the category of localizing motives -- the target of the universal localizing invariant (of stable infinity-categories...")
• 09:36, 30 May 2023 Cid36224 talk contribs created page Blow-ups and normal bundles in nonconnective derived geometry (Created page with "''Blow-ups and normal bundles in nonconnective derived geometry'' - '''Jeroen Hekking''' A current development in derived algebraic geometry is the theory of derived rings (d...")
• 11:55, 18 January 2023 Cid36224 talk contribs created page Decoupling Moduli of Configurations Spaces on Surfaces (Created page with "AG Seminar - 19.23.23 '''Luciana Basualdo Bonatto''' - ''Decoupling Moduli of Configurations Spaces on Surfaces'' Abstract: The study of topological field theories and topol...")
• 18:15, 10 January 2023 Cid36224 talk contribs created page The logic of étale maps (Created page with "Mathieu Anel - The logic of étale maps Abstract: I would like to advertise a certain connection between geometry and the theory of dependent types. I will study the fibrat...")
• 12:18, 19 December 2022 Cid36224 talk contribs created page The stable cohomology of symplectic groups of the integers (Created page with "AG Seminar 22.12.22 - Fabian Hebestreit - '''The stable cohomology of symplectic groups of the integers''' jt with M.Land and T.Nikolaus I want to report on a calculation of...")
• 07:46, 7 December 2022 Cid36224 talk contribs created page Unipotent homotopy theory of schemes (Created page with "AG Seminar -- 15.12.2022 Shubhodip Mondal -- Unipotent homotopy theory of schemes Abstract. Building on Toen's work on higher (affine) stacks, I will discuss a notion of hom...")
• 11:05, 2 June 2022 Cid36224 talk contribs created page Exponential periods and o-minimality (Created page with "Let α ∈ ℂ be an exponential period. In this talk I will present on joint work with Philipp Habegger and Annette Huber. We show that the real and imaginary part of α are...")
• 11:03, 2 June 2022 User account Cid36224 talk contribs was created automatically