Recent Advances in Motivic Cohomology: The Motivic Filtration for Algebraic K-theory

Osnabrück, March 18-20, 2026

The research group Topology/Geometry at the Institute of Mathematics, Osnabrück University, Germany, will host a workshop named “Recent Advances in Motivic Cohomology: The Motivic Filtration for Algebraic K-theory” on the recent work of Tom Bachmann, Elden Elmanto, and Matthew Morrow, available under https://arxiv.org/abs/2508.09915. Tom Bachmann has agreed to be present and to give two talks, and further 10 talks will be given by selected participants. For this, we ask those participants who are willing to give a talk to indicate their two preferred topics; see also the descriptions below (a more detail program will appear here, as well).

Schedule

TimeWednesdayThursdayFriday
09:00-09:30CoffeeCoffeeCoffee
09:30-10:30Overview (Tom Bachmann)Syntomic cohomology 1 (Engelmann)Main results 1 (Tom Bachmann)
10:45-11:45PreliminariesSyntomic cohomology 2 (Louis) Main results 2 (Kipp)
11:45-13:30LunchLunchLunch
13:30-14:30Motivic spectra (Shaikh)The case of fields and Dedekind domains (Hesse)
14:45-15:45Motivic cohomology 1 (Zolotarev)Cdh-motivic cohomology 1 (Mattis)
15:45-16:30CoffeeCoffee
16:30-17:30Motivic cohomology 2 (Bannwart)Cdh-motivic cohomology 2 (Gieringer)
19:00Social Dinner

Program

The talks are all based on sections of https://arxiv.org/abs/2508.09915, as follows:

Talk 1: Overview (Tom Bachmann)
Content: Section 1

Talk 2: Preliminaries (Neugebauer)
Content: Section 2

Talk 3: Motivic spectra (Shaikh)
Content: Section 3

Talk 4: Motivic cohomology 1 (Zolotarev)
Content: First half of section 4

Talk 5: Motivic cohomology 2 (Bannwart)
Content: Second half of section 4

Talk 6: Syntomic cohomology 1 (Engelmann)
Content: First half of section 5

Talk 7: Syntomic cohomology 2 (Louis)
Content: Second half of section 4

Talk 8: The case of fields and Dedekind domains (Hesse)
Content: Section 6

Talk 9: Cdh-motivic cohomology 1 (Mattis)
Content: Section 7

Talk 10: Cdh-motivic cohomology 2 (Gieringer)
Content: Section 8

Talk 11: Main results 1 (Tom Bachmann)
Content: Outline of the proofs

Talk 12: Main results 2 (Kipp)
Content: Details of the proofs

Organizers

Oliver Röndigs, Markus Spitzweck & Thor Wittich

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